Word Problem

Problem 2101

A line has a slope of -1 and passes through the point $(-12,11)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 2102

What volume of 0.166 M NaOH is needed to neutralize 1.00 mL of $0.261 \mathrm{M} \mathrm{HNO}_{3}$ ? a. $\quad 0.0157 \mathrm{~mL}$ b. $\quad 1.57 \mathrm{~mL}$ c. $\quad 15.7 \mathrm{~mL}$ d. $\quad 157 \mathrm{~mL}$ e. $\quad 1.57 \mathrm{~L}$

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Problem 2103

Five books of five different colors are placed on a shelf. The gold book is placed between the gray and orange books, and these three books are consecutive. The brown book is not leftmost on the shelf and the orange book is not rightmost on the shelf. The pink book is separated from the orange book by two books. If the brown book is not next to the pink book, what is the complete ordering of the books?
The complete ordering of the books is $\square$ $\square$ $\square$ $\square$ $\square$

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Problem 2104

A biking track has a length of 0.8 miles (mi). How long is this in feet ( ft )? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. \begin{tabular}{|ccccc|} \hline Ratios: & $\frac{1 \mathrm{yd}}{36 \mathrm{in}}$ & $\frac{36 \mathrm{in}}{1 \mathrm{yd}}$ & $\frac{5280 \mathrm{ft}}{1 \mathrm{mi}}$ & $\frac{1 \mathrm{mi}}{5280 \mathrm{ft}}$ \end{tabular}

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Problem 2105

A. Exercises
Write each number in standard complex number form, $a+b i$ .
1. 7
2. $-6 i$
3. $8+\sqrt{-8}$

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Problem 2106

10. A student answers $90 \%$ of the questions on a math exam correctly. If he answers 27 questions correctly, how many questions are on the exam?

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Problem 2107

Exercises Apply the Distributive Property to write an equivalent expression.
1. $9(2+x)$
2. $5(n+21)$
3. $7(3+4 y)$
4. $2(5 x+3.5)$
5. $16(5+3 a)$
6. $3(3 x+0.8)$
7. $4\left(y+\frac{1}{8}\right)$
8. $6\left(n+\frac{1}{4}\right)$
Choose the equivalent expression. 9.
9. \begin{tabular}{l|ccc} $6 x+18$ & $3(2 x+6)$ & $3(x+9)$ & $2(3 x)+2(6)$ \\ \hline 11. & $4(7+3 a)$ & $11+7 a$ & $28+12 a$ \\ \hline $12(y)+3$ & $12+3 y$ & $15 y$ & $\frac{7}{4}+\frac{3}{4} a$ \\ \hline \end{tabular}
Choose the inverse operation that would be used to solve the equation. 12. \begin{tabular}{l|ccc}
12. & $5+y=25$ & addition & subtraction \end{tabular} multiplication

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Problem 2108

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine $m$ , the number of measures Harita still needs to memorize, as a function of $d$ , the number of days of practice since she began learning the piece? $m=72-15 d$ $m=90-6 d$ $m=101-21 d$ $m=108-3 d$

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Problem 2109

CHAPTER REVIEW
Write the algebraic expression. Identify what the variable represents in the expression.
1. Eli read 3 times as many books as Nolan.
2. Brynn broke 4 water glasses.
3. The florist divided the roses among 5 vases.
4. The product of a number and 5 .
5. Two less than 20 times $n$ .
6. Sixty more than $n$ , divided by 3 .
Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$
Simplify the expression.
13. $3(6 x)$
14. $8 x+(3+7 x)$
15. $3+x+6$
16. $(6+2 x)+3$
17. $y+y+y$
18. $2(8 x)$ 22. \begin{tabular}{|c|c|} \hline $b$ & $2 b+5$ \\ \hline 6 & \\ \hline 12 & \\ \hline 25 & \\ \hline 49 & \\ \hline \end{tabular} 23. \begin{tabular}{|c|c|} \hline $x$ & $\frac{x}{3}-2$ \\ \hline 9 & \\ \hline 15 & \\ \hline 21 & \\ \hline 33 & \\ \hline \end{tabular} 24. \begin{tabular}{|c|c|} \hline $n$ & $n^{2}+9$ \\ \hline 5 & \\ \hline 9 & \\ \hline 12 & \\ \hline 20 & \\ \hline \end{tabular}
Simplify the expression by using the Distributive Property.
19. $3(8+2 a)$
20. $6(n+2)$
21. $5(7 x+5.1)$
Write an equation for the sentence.
25. 8 less than a number is 14.
26. The quotient of a number divided by 2 eque
27. The sum of 2 times a number and 8 is 14 .

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Problem 2110

CHAPTER REVIEW
Write the algebraic expression. Identify what the variable represents in the expression.
1. Eli read 3 times as many books as Nolan.
2. Brynn broke 4 water glasses.
3. The florist divided the roses among 5 vases.
4. The product of a number and 5 .
5. Two less than 20 times $n$ .
6. Sixty more than $n$ , divided by 3 .
Evaluate the expression. Let $n=4$ .
7. $n+7-3$
8. $5 n \div 2$
9. $3+(n \div 2)$
10. $3 n+5$
11. $(2.7 \cdot n)-3$
12. $100-12 n$
Simplify the expression.
13. $3(6 x)$
14. $8 x+(3+7 x)$
15. $3+x+6$
16. $(6+2 x)+3$
17. $y+y+y$
18. $2(8 x)$ 22. \begin{tabular}{|c|c|} \hline $b$ & $2 b+5$ \\ \hline 6 & \\ \hline 12 & \\ \hline 25 & \\ \hline 49 & \\ \hline \end{tabular} 23. \begin{tabular}{|c|c|} \hline $x$ & $\frac{x}{3}-2$ \\ \hline 9 & \\ \hline 15 & \\ \hline 21 & \\ \hline 33 & \\ \hline \end{tabular} 24. \begin{tabular}{|c|c|} \hline $n$ & $n^{2}+9$ \\ \hline 5 & \\ \hline 9 & \\ \hline 12 & \\ \hline 20 & \\ \hline \end{tabular}
Simplify the expression by using the Distributive Property.
19. $3(8+2 a)$
20. $6(n+2)$
21. $5(7 x+5.1)$
Write an equation for the sentence.
25. 8 less than a number is 14.
26. The quotient of a number divided by 2 eque
27. The sum of 2 times a number and 8 is 14 .

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Problem 2111

What is the value of $k$ in the function $f(x)=\frac{2 x+k}{x+3}$ if its graph passes through the point ( 2 , 4.2)? 21.2 6 17 none of the above

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Problem 2112

\#13-16: Use the rules and list the image coordinates after the reflection in the given line.
13. $y=x$ rule: $(x, y) \rightarrow$ $\qquad$ $A(6,-3) \quad A^{\prime}$ $\qquad$ $B(1,-2) \quad B^{\prime}$ $\qquad$ $C(4,1) \quad C^{\prime}$ $\qquad$
16. $y=-x$ rule: $(x, y) \rightarrow$ $\qquad$ $A(1,2) \quad A^{\prime}$ $\qquad$ $B(4,2)$ $B^{\prime}$ $\qquad$ $C(3,-2) \quad C^{\prime}$ $\qquad$

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Problem 2113

Write the algebraic expression. Identify what the variable represents in the expression.
1. Eli read 3 times as many books as Nolan.
2. Brynn broke 4 water glasses.
3. The florist divided the roses among 5 vases.
4. The product of a number and 5 .
5. Two less than 20 times $n$ .
6. Sixty more than $n$ , divided by 3 .

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Problem 2114

Exit Solve percent problems using strip models
Principal Lopez asked her 500 students to vote on the school's annual gift. 300 students voted to donate a telesc science lab. What percent of the students voted to donate a telescope?
Pick the model that represents the problem.
What percent of the students voted to donate a telescope?

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Problem 2115

0070 IMATHEMATICS 6 DUE Nov 15-11:59 pm i Turn n
Understand Rates and Unit Rates
XL for School: Done \&. Problem Solving
2 5-5: MathXL for School: Done In Progress 3 5-5: Lesson Quiz
A checkout clerk at a department store is expected to complete 16 transactions every hour. In the past 20 minutes, he completed 6 transactions. Assume that the clerk continues to work at the same rate. Wrill he meet his goal of 16 transactions in 1 hour? Explain.
Choose... ; the checkout clerk will complete Choose... transactions in 1 hour.

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Problem 2116

Employers in the United States allocate $n$ fewer vacation days than the 25 days given by the average Japanese employer. Write an algebraic expression to show the number of vacation days given U.S. workers.

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Problem 2117

The students at Roseville Academy look forward to the annual jog-a-thon every year. After students finish running their laps, they get their choice of ice pop. So far, of the 14 students who finished their jog-a-thon laps, 3 chose an orange ice pop, 5 chose lime, and 6 chose strawberry.
Based on the data, estimate how many of the remaining 78 students will choose a lime ice pop.
If necessary, round your answer to the nearest whole number. $\square$ students

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Problem 2118

Since Maddie has a hard time picking out what to wear to school, she made a spinner to help her decide. The spinner is divided into 5 unequal sections labeled pants, skirt, dress, shorts, and overalls. She spun the spinner several times to make sure it was working. Here are her results: dress, pants, overalls, pants, skirt, dress, shorts, dress, overalls, skirt Based on the data, estimate how many times Maddie will wear a dress to school in the next 20 days.
If necessary, round your answer to the nearest whole number. $\square$ times

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Problem 2119

$40 \%$ of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?
Pick the model that represents the problem.
How many people were at Tim's Halloween party?

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Problem 2120

Connor has a box of 100 T-shirts in different sizes that he will be throwing to fans in the stands at the Greenville Township Allstars baseball game. Since the T-shirts are all mixed together, he's curious about how many of each shirt size is in the box. So, he randomly checks 10 shirts from different parts of the box. Here are the sizes of those shirts: large, small, extra large, medium, small, extra large, large, small, medium, small Based on the data, estimate how many small T-shirts are in the box. If necessary, round your answer to the nearest whole number. $\square$ small T-shirts

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Problem 2121

4) Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72 , what are the maximum and minimum scores that Leona could have made in the golf tournament?

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Problem 2122

Part 12 of 13 Score: $6.67 \%, 0.93$ of 14 points Save
Follow the steps for graphing a rational function to graph the function $R(x)=\frac{x+8}{x(x+12)}$ A. The graph of $R$ intersects the horizontal or oblique asymptote at $(-8,0)$ . (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. The graph of R-intersects the horizontal or oblique asymptote at infinitely many points. C. There is no point at which the graph of R intersects the horizontal or oblique asymptote. D. There is no horizontal or oblique asymptote.
Use the real zeros of the numerator and denominator of $R$ to divide the $x$ -axis into intervals. Determine where the graph of $R$ is above or below the $x$ -axis by choosing a number $i$ each interval and evaluating R there. Select the correct choice and fill in the answer box(es) to complete your choice. A. The graph of $R$ is above the x -axis on the interval(s) $\square$ . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The graph of $R$ is below the $x$ -axis on the interval $(\mathrm{s})$ $\square$ (Type your answer in interval notation. Use a comma to separate answers as needed.) C. The graph of $R$ is above the $x$ -axis on the interval(s) $\square$ and below the $x$ -axis on the interval(s) $\square$ (Type your answers in interval notation. Use a comma to separate answers as needed.)

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Problem 2123

Lacey volunteers in the lunchroom once a week and hands out drinks to the students who buy lunch. So far today, 9 students chose orange juice, 8 chose milk, and 13 chose water.
Based on the data, what is the probability that the next student will choose milk? Write your answer as a fraction or whole number. $\square$

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Problem 2124

Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason's sample consisted of $0.24 \%$ of the population, while Yolanda's sample consisted of $0.32 \%$ of the population. Whose sample can be used to make inferences about the population? neither Jason's sample nor Yolanda's sample only Jason's sample only Yolanda's sample both Jason's sample and Yolanda's sample

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Problem 2125

Exercise A survey found the $21 \%$ of adults never exercise at all. A researcher selected a random sample of 120 adults and found that 21 adults said that they do not exercise at all. At $\alpha=0.05$ , is there sufficient evidence that less than $21 \%$ of adults do not exercise at all? Use the critical value method. Do not round intermediate steps.
Part 1 of 5 (a) State the hypotheses and identify the claim. $\begin{array}{l} H_{0}: p=0.21 \\ H_{1}: p<0.21 \end{array}$ not claim claim
This hypothesis test is a $\square$ one-tailed test.
Part: $1 / 5$ $\square$
Part 2 of 5 (b) Find the critical value. Round the answer to at least two decimal places.
The critical value is $\square$ .

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Problem 2126

19. Sana says, "I know that 5 is greater than 4.5. Therefore, -5 must be greater than -4.5 ". Is Sana correct? Explain.
Remember

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Problem 2127

5 Hugo, Tom et Safwan collectionnent les cartes de hockey. Hugo a 9 cartes de plus que le double des cartes de Tom. Safwan a 13 cartes de moins que le quadruple des cartes de Tom.
Si Hugo et Safwan ont le même nombre de cartes, combien en ont-ils chacun?

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Problem 2128

Zeit zu überprüfen aut lange Sicht einstellen?
4: Eine Kleinstadt hat im Jahre 2006 mehrere Neubaugebiete eingerichtet. Man rechnet damit, dass die Einwohnerzahl der Kleinstadt in den folgenden Jahren zunimmt. Zählungen haben ergeben, dass sich die Zunahme der Einwohner mit der Funktion $f$ mit $f(x)=1000 \cdot x^{2} \cdot e^{-x}$ modellieren lässt, wobei x = 0 dem Jahr 2006 entspricht. a) Berechnen Sie, wann die Anzahl der Einwohner in der Kleinstadt am stärksten zunimmt, wenn man die Funktion $f$ als Modellfunktion verwendet. b) Berechnen Sie, wie sich die Einwohnerzahl der Kleinstadt von 2006 bis 2014 verändert hat. c) Berechnen Sie den Durchschnitt der jährlichen Zunahme der Einwohnerzahl von 2006 bis 2014.
5 Der Temperaturverlauf während eines Tages kann durch die Funktion t modelliert werden. Hinweis:

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Problem 2129

6 A particle is projected from rest from a point along a smooth horizontal table at $0.7 \mathrm{~m} \mathrm{~s}^{-1}$ . The table is 1 m high and stands on horizontal ground. Given that it takes 2 seconds from the moment of projection until the ball hits the ground, work out the distance from the point $A$ to the edge of the table. (4 marks)

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Problem 2130

This week they received 879 more books. How many books did they receive in all?

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Problem 2131

A stereo system costs $\$ 275$ . It was on sale for $15 \%$ off. The salesperson receives a $2 \%$ commission. How much of a commission do they receive? (c2016/2020 Lindsay Perro. All rights reserved.

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Problem 2132

$\mathrm{q}=$ 1148
12. (S pet] The supply aquation and the demand equation for a product are given below. Find the equiltrium quantion Show your work. Solutions by calculator receive no credit. Supply $500-39=74$ $\text { Demand } 16 p+7 q=870$

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Problem 2133

A store manager adjusts the price of an item each week that the item goes unsold. The price of the unsold item, in dollars, after $x$ weeks can be modeled by the exponential function $f(x)=320(0.90)^{x}$ .
Choose the correct answer from each drop-down menu to complete the sentences. The initial price of the item before the store manager made any adjustments was $\square$ The price of the item $\square$ at a rate of $\square$ each week. 46.camblumtd.com/student_core/V222/Pages/Testshellaspx

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Problem 2134

1) Amiah must unload a truck filled with 25 bags of dog food. Each bag weights 50.75 pounds. How many pounds does she have to lift? a. 12,687.50 pounds b. $1,268.75$ pounds c. 126.875 pounds d. 1250 pounds

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Problem 2135

```latex Finn is preparing supplies for electrical and carpentry teams. He places measuring tapes into boxes of 6. If Finn has 26 measuring tapes in total, how many full boxes does he use? ```

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Problem 2136

9. $\sqrt{\int}$ Ted thinks that because $10 \cdot 10=100$ and 2 . $5=10$ , he should be able to calculate $12 \cdot 15$ by adding $100+10$ to get 110. Explain to Ted in two different ways that, even though his method is not correct, his calculations can be part of a correct way to calculate $12 \cdot 15$ . by drawing an array by writing equations that use the distributive property

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Problem 2137

2) A soul food restaurant purchased 1528.80 pounds of flour. If they received 50 identical bags, how much rice was in each bag? a. 30.576 pounds b. 305.76 pounds c. 3.0576 pounds d. None of the above

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Problem 2138

3. Priscilla bought cheese that weighs $\frac{3}{4}$ pounds. If she divides it into portions that are each $\frac{1}{8}$ pound, how many portions can she make?

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Problem 2139

J) How many ounces are there in 8 grams? ()) Hint: $1 \mathrm{~g} \approx 0.035 \mathrm{oz}$ J) Round your answer to the nearest tenth. $\square$

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Problem 2140

8 feet is how many meters? Hint: $1 \mathrm{ft} \approx 0.305 \mathrm{~m}$ Round your answer to the nearest tenth. $\square$

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Problem 2141

How many gallons are there in 3 liters? Hint: 1 L $\approx 0.26 \mathrm{gal}$ Round your answer to the nearest tenth. $\square$

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Problem 2142

4) At the end of a runner's half marathon, they ended up 510 feet above sea level. What was their change in elevation if the start was -320 feet below sea level?

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Problem 2143

4 teaspoons is how many milliliters? Hint: 1 tsp $\approx 4.9 \mathrm{~mL}$ Round your answer to the nearest tenth. $\square$

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Problem 2144

13 kilometers is how many miles? Hint: $1 \mathrm{~km} \approx 0.6 \mathrm{mi}$ Round your answer to the nearest tenth. $\square$

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Problem 2145

Maya was offered a job after college earning a salary of \$50,000. She will get a raise of \$4,000 after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.
Answer Attempt 2 out of 2
The independent variable, $x$ , represents the number of years worked $\vee$ , and the dependent variable is the salary , because the salary depends on the number of years worked A function relating these variables is $H(x)=50000+4000 x$ . So $H(5)=70000$ , meaning 5 dollars will be her salary after years working

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Problem 2146

7. Will stacked 135 quarters. He put 9 quarters into each stack How many stacks did he make?

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Problem 2147

2. Assad has $\$ 256$ in his checking account. Which of the following will result in no net-change in his balance? a. A deposit of $\$ 200$ , and then a withdrawal of $\$ 56$ . b. A withdrawal of $\$ 256$ . c. A deposit of $\$ 256$ . d. A withdrawal of $\$ 32$ , and then a deposit of $\$ 32$ .

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Problem 2148

9. There are 210 workers at the football stadium to help clean up after the game. The workers are divided into 5 equal teams. How many workers are on each team?

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Problem 2149

Write and evaluate the expression. Then, check all that apply. the difference of a number and ninety; when $a=102$ \begin{tabular}{|c|} \hline SubtractionWords \\ \hline decreased by \\ \hline difference \\ \hline fewer \\ \hline less than \\ \hline subtract \\ \hline \end{tabular} Write the expression as $\frac{a}{90}$ . Write the expression as $90-a$ . Write the expression as $a-90$ . Substitute 102 in for the variable, $a$ . Simplify by subtracting 90 from 102. Simplify by dividing 102 by 90. The answer is 1.13. The answer is 12.

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Problem 2150

3. Nasir ran $5 \frac{1}{2}$ laps around a track. If Mr. Rajiyah ra $1 / 4$ laps around the same track, how many more laps did Nasir run than Mr. Rajiyah?

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Problem 2151

11. Error Analysis Marsha says she can use 10 as the first three partial quotients when finding $261 \div 9$ . Do you agree or disagree? Explain your reasoning.

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Problem 2152

Which proportion could you use to convert 6 kilograms to grams? $\frac{1,000 \text { grams }}{1 \text { kilogram }}=\frac{? \text { grams }}{6 \text { kilograms }}$ $\frac{1,000 \text { grams }}{1 \text { kilogram }}=\frac{6 \text { kilograms }}{? \text { grams }}$
Convert. 6 kilograms = grams

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Problem 2153

Test the claim that the mean body temperature of normal and healthy adults is equal to $37^{\circ} \mathrm{C}$ . Sample data consist of 20 randomly selected healthy adults who have body temperatures with a mean of $36.78^{\circ}$ and a standard deviation of $0.35^{\circ}$ . Use a 0.05 level of significance,, $\cup=37$ $\begin{array}{ll} \text { ificance } J=37 & t=36.78-37 \\ H_{0}: J \neq 37 & 0.351 \sqrt{20} \\ H_{a}: 0.81 & t=-\frac{0.22}{0.0783} \end{array}$
Jsing the same sample data given in problem 1, test the claim that the standard leviation of body temperatures for normal healthy adults is less than $1.00^{\circ} \mathrm{C}$ . Use 05 level of significance.

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Problem 2154

The line $k$ has a slope of -2 . The line $j$ makes an angle of $30^{\circ}$ with $k$ . Find one possible value of the slope of the line $j$ . Give your answer in the form $d+e \sqrt{f}$ , where $d, e, f \in \mathbb{Z}$ .

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Problem 2155

The volume of a rectangular prism is 4,860 cubic centimeters. Its length is 20 centimeters, and its height is 3 times its width.
Which equation can you use to find the width of the rectangular prism, w? $\begin{array}{c} 4,860 \cdot 20= \\ w \cdot 3 w \end{array}$ $\begin{array}{c} 4,860=20 \\ w \cdot 3 w \end{array}$
How wide and tall is the prism? centimeters wide and centimeters tall

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Problem 2156

A college offers 2 introductory courses in history, 4 in science, 2 in mathematics, 4 in philosophy, and 1 in English. a. If a student takes one course in each area during her first semester, how many course selections are possible? $\square$ b. If a part-time student can afford to take only one introductory course, how many selections are possible? $\square$

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Problem 2157

3. [0/1 Points] DETAILS MYNOTES
A plane flying horizontally at an altitude of 3 miles and a speed of $440 \mathrm{mi} / \mathrm{h}$ passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station. (Round your answer to the nearest whole number.)
292 $x$ mi/h
Enhanced Feedback Please try again. Keep in mind that distance $=\sqrt{(\text { altitude })^{2}+(\text { horizontal distance })^{2}}$ (or $y^{2}=x^{2}+h^{2}$ .) Differentiate with respect to $t$ on both sides of the equation, using the Chain Rule, to solve for $\frac{d y}{d t}$ . The given speed of the plane is $\frac{d x}{d t}$ . Need Help? Read It

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Problem 2158

12. Extend Your Thinking How can you find $316 \div 4$ two different ways by using different partial quotients in each solution?

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Problem 2159

(17a) In which quadrant is $\frac{2 \pi}{3}$ ?
The second quadrant. The third quadrant.
The fourth quadrant. The first quadrant

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Problem 2160

1) A $10.31-\mathrm{kg}$ box is at rest when Joseph begins pushing it with a force of +18.66 N , causing it to move 3.64 m . Neglect friction. a) How much work did Joseph do on the box? \begin{tabular}{|l|l|} \hline & J \\ \hline \end{tabular} b) How fast is the box moving after 3.64 m ? \begin{tabular}{|ll|} \hline $3.63 \mathrm{~m} / \mathrm{s}$ \\ \hline \end{tabular}

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Problem 2161

If an object travels upward at a velocity of $v$ feet per second from $s$ feet above the ground, the object's height in feet, $h$ , after $t$ seconds can be modeled by the formula $h=-16 t^{2}+v t+s$ . $\begin{array}{c} 10=-16 t^{2}+ \\ 22 t+5 \end{array}$ $\begin{array}{c} 10=-16 t^{2}+ \\ 5 t+22 \end{array}$
To the nearest tenth of a second, how long is the ball in the air before going through the hoop? $\square$ seconds

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Problem 2162

DUE Nov 15 - 11:59 pm 02100701 MATHEMATICS 6 -9: Ratio Reasoning: Convert Metric Units Not Started $3^{5-9: \text { Virtual Nerdre: What }}$ in Progress in progress MathXL for School: In Progress 2 5-9: Lesson Qulz are the Metric Units of ... are the Metric Units of...
Choose all of the conversions that are true for the capacity of the pitcher of lemonade. Click the icon to view the metric units of capacity. A. 0.34 kL B. $3,400 \mathrm{~mL}$ C. 0.0034 KL D. 0.034 kL E. 34 mL clear all F. 340 mL
Help me solve this View an example Get more help - Question 9 Review progress

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Problem 2163

Assessments / studyculx
Question 1 (a) The coordinates of three points are $A(2,-6), B(6,-12)$ , and $C(-4,3)$ . Find the perpendicular distance from $A$ to $\bar{B} C$ . Based on your answer, what can you conclude about the relationship between the points $A, B$ , and $C$ ?

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Problem 2164

We want to evaluate $\sin \frac{2 \pi}{3}$ by first rewriting it in terms of the related acute angle. What is the related acute angle of $\frac{2 \pi}{3} ?$
Acute angle $=$ |Enter your next step here $\square$ radians

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Problem 2165

Practice Quiz: Perimeter and Circumference 0:07:42 elapsed
Question 9 (5 points) Listen Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi. 6 15.7 9.42 3

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Problem 2166

$y=\frac{3}{x} 2 \cdot 30=\frac{n}{2} \cdot 2 \quad k=15$
2. You are ecstatic that with just one other person's help, you were able to decorate for the dance in half the time. You are now beginning to understand the importance of having a decorating committee rather than trying to do it all on your own. You're accepting applications for fellow students to join the decorating committee for the following dance and are curious just how quickly the 30 hours of decorating can get done depending on how many helpers you have. Fill in the table and show your work for how long it will take to decorate when there are $1,2,3,4,5$ and 6 people decorating.
3. Based on your work shown in the chart above, write a general formula for how long it will take to decorate depending on how many decorators you have. $k=\frac{30}{x}$
4. Using this formula, how long will it take to decorate if there are 10 decorators in total? $k=\frac{30}{10} \quad x=3 \text { hours }$
5. Using the formula again, calculate how many decorators you'd need if you want to be able to decorate in two hours flat. $2 k=\frac{30}{2} \cdot x=15 \text { decorators }$
6. Plot the points from question 2 and the additional points from this table onto the graph below. Connect the points by drawing a smooth curve. Be sure to label your axes. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Number of \\ Decorators \end{tabular} & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline \begin{tabular}{c} Number of \\ Hours \end{tabular} & 4.3 & 3.75 & 3.3 & 3 & 2.7 & 2.5 & 2.3 & 2.1 & 2 \\ \hline \end{tabular}

See Solution

Problem 2167

Return
Question 7 Next
Choose the method you would recommend (the one that would be easiest) for each student to solve their quadratic efficiently. Explain why you recommend that method.
Kiran: $x^{2}-6 x+5=0$ Diego: $2 x^{2}+7 x-4=0$ Lin: $x^{2}-4=18$ Noah: $25 x^{2}+40 x+16=8$ Claire: $17 x^{2}-2 x-1=0$

See Solution

Problem 2168

expressions related? Multiply both 12 and 6 by $\square$ to make 120 and 60.
Multiply both 12 and 6 by $\square$ to make 1,200 and 600 .

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Problem 2169

Given a $W=10$ inch by $L=13$ inch piece of paper, we will cut out squares (size $x$ by $x$ ) from each corner and fold to create an (open top) box. Our goal is to find the size of the cut out square $(x)$ , that maximizes the volume of the box.
The length of the box, as a function of $\tau$ , is $l=13-2 x \vee \sigma^{6}$
The width of the box, as a function of $x$ , is $w=10-2 x \vee 0^{6}$
The volume of the box, as a function of $x$ , is $V=13 \cdot 10 \cdot x \times 0^{6} x(13-2 x)(10-2 x)$ which, after distributing, simplifies to $V=130 x-46 x^{2}+4 x^{3} \quad o^{6}$ To determine the value of $x$ that corresponds to a maximum volume, we need to find $V^{\prime}$ . $V^{\prime}=130-92 x+12 x^{2}$
The $\boldsymbol{x}$ that corresponds to a maximum volume is $\boldsymbol{x}=1.8712 \times 0$ ob 1.8683623129081 inches and the maximum volume is $V=$ $\square$ cubic inches

See Solution

Problem 2170

What is the difference between the graph of an equation in the system and the graph of the system's solution set? A. The graph of an equation is a point whereas the graph of the system's solution set is an infinite number of points. B. The graph of an equation is a line whereas the graph of the system's solution set is a point. C. The graph of an equation is a line whereas the graph of the system's solution set is a blank graph. D. There is no difference.

See Solution

Problem 2171

Return 5.5 Practice Problem
Mai and Jada are solving the equation $2 x^{2}-7 x=15$ 9 using the quadratic formula but found different solutions.
Mai wrote: $\begin{array}{l} x=\frac{-7 \pm \sqrt{7^{2}-4(2)(-15)}}{2(2)} \\ x=\frac{-7 \pm \sqrt{49-(-120)}}{4} \\ x=\frac{-7 \pm \sqrt{169}}{4} \\ x=\frac{-7+13}{4} \\ x=-5 \text { or } x=\frac{3}{2} \end{array}$
Jada wrote: $x=\frac{-(-7) \pm \sqrt{-7^{2}-4(2)(-15)}}{2(2)}$ $x=\frac{7 \pm \sqrt{-49-(-120)}}{4}$ $x=\frac{7 \pm \sqrt{71}}{4}$
Fill in the Blank 1 point Question 1a If this equation is written in standard form, $a x^{2}+b x+c$ , what are the values of $a, b$ and $c$ ? $a=$ type your answer... $b=$ type your answer... and $c=$ type your answer... Next

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Problem 2172

Assigment
Practice with proportions.
A company sold 3,000 computers in one month, but 12 were returned. If 3,500 were sold the next month, the company would expect 14 to be returned.
What is a valid proportion to represent the problem? $\frac{3,000}{12}=\frac{14}{3,500}$ $\frac{12}{3,000}=\frac{3,500}{14}$ $\frac{3,500}{3,000}=\frac{12}{14}$ $\frac{3,000}{12}=\frac{3,500}{14}$

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Problem 2173

Victoria goes to a bank and trades in the amounts of money shown in blue. She gets back each amount with the fewest bills possible. Drag to each box the bills she will get for each amount of money she trades. CLEAR CH $\square$
10 ten-dollar bills 302 one-dollar bills 32 ten-dollar bills
DRAG AND DRAGAND DRAG AND DROP ITEMS DROPITEMS DROPITEMS HERE HERE HERE

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Problem 2174

Sleep apnea: Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must wake up frequently to breathe. In a sample of 434 people aged 65 and over, 106 of them had sleep apnea.
Part: 0 / 3
Part 1 of 3 (a) Find a point estimate for the population proportion of those aged 65 and over who have sleep apnea. Round the answer to three decimal places.
The point estimate for the population proportion of those aged 65 and over who have sleep apnea is $\square$

See Solution

Problem 2175

Explaining a Solution
Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your response. $\frac{10}{3}=\frac{20}{x}$

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Problem 2176

The hypotenuse of a right triangle is 3 times as long as its shorter leg. The longer leg is 12 centimeters long
To the nearest tenth of a cenfimeter, what is the length of the triangle's shorter leg? ) $\square$ Gentimeters

See Solution

Problem 2177

Return Next Matching 5 points
Question 7 Choose the method you would recommend (the one that would be easiest) for each student to solve their quadratic efficiently. Explain why you recommend that method.
Kiran: $x^{2}-6 x+5=0$ Diego: $2 x^{2}+7 x-4=0$ Lin: $x^{2}-4=18$ Noah: $25 x^{2}+40 x+16=8$ Claire: $17 x^{2}-2 x-1=0$

See Solution

Problem 2178

Sample response: To solve using equivalent ratios you would consider the values in both numberators. The second numerators. The second numerator is 2 times the value of the first, so the second denominator should be 2 times the value of the first. Thus, $x$ should equal 6 because 2 times 3 is 6 .
Which facts did you include in your response? Check all that apply. The numerator of the second ratio is 2 times the numerator of the first. For the ratios to be equivalent, the denominator of the second ratio must be 2 times the denominator of the first. 2 times 3 tequals 6. $x=6$

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Problem 2179

onvert 8.8 C to Fahrenheit. Round to the nearest tenth when necessary. 88.4 F 47.8 F 87.4 F 48.9 F

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Problem 2180

Martin can run 1 mile in 7 minutes. What valid proportions can be written from this information? Check all that apply. $\frac{1}{7}=\frac{3}{21}$ $\frac{1}{21}=\frac{3}{7}$ $\frac{7}{1}=\frac{3}{21}$ $\frac{7}{1}=\frac{21}{3}$ $\frac{1}{7}=\frac{21}{3}$

See Solution

Problem 2181

Situation \#2: Use the ledger to record the information and answer the questions. Note: On May 5, your beginning balance is $\$ 8.00$
1. On May 6, you spent $\$ 4.38$ on a gallon of ice cream at Marty's Ice Cream Parlor.
2. On May 7, you spent $\$ 3.37$ on crackers, a candy bar, and a coke from Circle H convenience store.
3. On May 8 , you received $\$ 10$ for cutting the neighbor's grass.
4. On May 8 , you spent $\$ 14.80$ on a downloaded book for your Kindle. \begin{tabular}{|l|c|c|c|c|} \hline DATE & TRANSACTION & \begin{tabular}{c} PAYMENT \\ $(-)$ \end{tabular} & \begin{tabular}{c} DEPOSIT \\ $(+)$ \end{tabular} & BALANCE \\ \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline \end{tabular} A. What is your balance after four transactions? B. How much money did you deposit (show as a positive value)? C. How much money did you pay or withdraw (show as a negative value)? D. Can you really afford to spend $\$ 14.80$ on a book for your Kindle? If not, how much money do you need to earn to have an account balance of $\$ 0$ ?

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Problem 2182

What is the interest earned after 1 year in a savings account with an initial investment of $\$ 826$ and a 3.5\% simple interest rate?
Interest = \\square$ ?

See Solution

Problem 2183

Assume an employee of Rocco Rock Company earns $\$ 1,900$ of gross wages during the current pay period and is required to remit to the government $\$ 190$ for income tax and $\$ 95$ for FICA. Consider the following two procedures for paying the employee: \begin{tabular}{ll} \multicolumn{1}{c}{ Procedure 1 (Withholdings) } & \multicolumn{1}{c}{ Procedure 2 (No Withholdings) } \\ Rocco Rock Company pays the employee net & Rocco Rock Company pays the employee gross \\ wages of $\$ 1,615$ and will remit income taxes & wages of $\$ 1,900$ and the employee is \\ and FICA on behalf of the employee. & responsible for remitting income taxes and \\ & FICA. \end{tabular}
Required:
1. Ignoring employer payroll taxes, under each procedure calculate: a. the total amount to be paid by the company and b. the amount of cash the employee will have after satisfying all responsibilities to the government. Do your answers for procedures 1 and 2 differ for (a)? For (b)?
2. Which approach does the government require?
3. Considering that employers are responsible for matching employees' FICA contributions, which procedure will employers prefer?
4. Prepare the journal entries required by the employer under procedure 1, assuming the employee is paid in cash, but the withholdings and matching employer FICA contribution have not yet been paid. (Do not ignore employer payroll taxes, but assume no unemployment taxes.)

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Problem 2184

On February 1, the home mortgage balance was $\$ 129,000$ for the home owned by Tom Bryant. The interest rate for the loan is 7 percent. Assuming that Tom makes the February monthly mortgage payment of $\$ 1032$ , calculate the following: (a) The amount of interest included in the February payment (round your answer to the nearest cent). (b) The amount of the monthly mortgage payment that will be used to reduce the principal balance. (c) The new balance after Tom makes this monthly mortgage payment.

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Problem 2185

7. A tower that is 65 m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59 m . What obtuse angle does the tower make with the ground, to the nearest hundredth of a radian?

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Problem 2186

When creating vases for the craft fair, Thomas used the proportion 3 pounds of clay is to 8 vases as 9 pounds of clay is to 24 vases. Which proportion can be used to represent the situation? $\frac{3}{8}=\frac{24}{9}$ $\frac{3}{8}=\frac{9}{24}$ $\frac{3}{9}=\frac{24}{8}$ $\frac{9}{3}=\frac{8}{24}$

See Solution

Problem 2187

Question 18 of 30 The price of a company's share dropped by $3.50 \%$ by the end of the first year, down to $\$ 46.25$ . During the second year the price of the share dropped by $\$ 2.08$ . a. What was the price of the share at the beginning of the first year? $\square$ Round to the nearest cent b. What was the price of the share at the end of the second year? $\square$ Round to the nearest cent c. What was the percent change in the price of the share over the two years?

See Solution

Problem 2188

What is the value of $x$ in the proportion below? $\frac{1 / 2}{4}=\frac{x}{28}$ $3 \frac{1}{2}$ $7 \frac{1}{2}$ 14 56

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Problem 2189

1 2 3 4 5 E (2) 6 A 10
To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounces of hot chocolate? 4 tablespoons 10 tablespoons 12 tablespoons 18 tablespoons

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Problem 2190

Megan bought 3 tickets to the ballet for $\$ 57.50$ . How much would it cost for her to buy 15 tickets? \$172.50 \$230.00 \$287.50 \$862.50

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Problem 2191

Conndence interval tor the popilation standard deviation
The standard deviation of the daily demand for a product is an important factor for inventory control for the product. Suppose that a pharmacy wants to estimate the standard deviation of the daily demand for a certain antibiotic. It is known that the daily demand for this antibiotic follows an approximately normal distribution. A random sample of 30 days has a sample mean of 124 orders for this antibiotic with a standard deviation of 10.1 orders. Find a $99 \%$ confidence interval for the population standard deviation of the daily demand for this antibiotic. Then give its lower limit and upper limit.
Carry your intermediate computations to at least three decimal places, Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)
Lower limit: $\square$ Upper limits $\square$

See Solution

Problem 2192

bra Essentials A CR-Imag SSOLogout Inagine Eagenuly ror n/player/
Proportions Quiz Active
1 2 3 4 5 6 7 8 9 10 TIME RE 51
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should to a patient who weighs 138 pounds? 400 milligrams 480 milligrams 550 milligrams 600 milligrams

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Problem 2193

If there are 90 calories in $\frac{3}{4}$ cup of yogurt, how many calories are in 3 cups of yogurt? 30 calories 202 calories 270 calories 360 calories

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Problem 2194

(1 point)
Consider the points $(-3,3)$ and $(5,6)$ . a) Find the equation for the line passing through these two points and write the equation in the form $y=m x+b$ . $y=\square$ b) Find parametric equations for the line through these two points. $\begin{array}{l} x(t)= \\ y(t)=\square \end{array}$ c) Calculate the derivative $\frac{d y}{d x}$ of each of the equations in parts $(a)$ and $(b)$ .
From part (a): $\frac{d y}{d x}=$ $\square$ From part (b): $\frac{d y}{d x}=$ $\square$

See Solution

Problem 2195

Contidance interval tor the population standard deviation 25
Suppose that the lifetimes of the AAA batteries of a certain manufacturer are approximately normally distributed. The manufacturer wants to estimate the standard deviation of the lifetime of these batteries. A random sample of 15 AAA batteries produced by this manufacturer lasted a mean of 9.9 hours with a standard deviation of 2.1 hours. Find a $95 \%$ confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then give its lower limit and upper limit.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places, (If necessary, consult a list of formulas.)
Lower limit: $\square$ Upper limit: $\square$

See Solution

Problem 2196

6. [0/1 Points]
DETAILS MY NOTES BBUNDERSTAT12HS 6.3.011.MI. PREVIOUS AN
Assume that $x$ has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) $\mu=28 ; \sigma=3.8$ $P(x \geq 30)=$ $\square$ Need Help? Read It Watch it Master It

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Problem 2197

1. Gregory earned $\$ 84$ lawns. If he charg dollars mowing how many bwns ges $\$ 7$ per bawn, how many lawns did he mow?

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Problem 2198

(6) The mass of a cake is 1.216 kilograms.
Gabrielle gives 456 grams of cake to her neighbour and divides the rest of the cake into five equal pieces. What is the mass of each piece of cake? ? 9

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Problem 2199

Malik considers the enlargement of the trapezoid.
Not drawn to scale
What is the correct cross product that he should use to solve for the missing dimension? $(10)(25)=18 x$ $(10)(18)=25 x$ $(18)(25)=10 x$ $(18)(10)=18 x$

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Problem 2200

What value of $z$ divides the standard normal distribution so that half the area is on one side and half is on the other? Round your answer to two decimal places.

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1 ...19 20 21 22 23 24 25 ...122

Word Problem

Problem 2101

A line has a slope of -1 and passes through the point (−12,11)(-12,11)(−12,11). Write its equation in slopeintercept form.Write your answer using integers, proper fractions, and improper fractions in simplest form. □\square□ Submit

Problem 2102

Problem 2103

Problem 2104

Problem 2105

A. ExercisesWrite each number in standard complex number form, a+bia+b ia+bi.1. 72. −6i-6 i−6i3. 8+−88+\sqrt{-8}8+−8​

Problem 2106

10. A student answers 90%90 \%90% of the questions on a math exam correctly. If he answers 27 questions correctly, how many questions are on the exam?

Problem 2107

Problem 2108

Problem 2109

Problem 2110

Problem 2111

What is the value of kkk in the function f(x)=2x+kx+3f(x)=\frac{2 x+k}{x+3}f(x)=x+32x+k​ if its graph passes through the point ( 2 , 4.2)? 21.2 6 17 none of the above

Problem 2112

Problem 2113

Problem 2114

Problem 2115

Problem 2116

Employers in the United States allocate nnn fewer vacation days than the 25 days given by the average Japanese employer. Write an algebraic expression to show the number of vacation days given U.S. workers.

Problem 2117

Problem 2118

Problem 2119

40%40 \%40% of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?Pick the model that represents the problem.How many people were at Tim's Halloween party?

Problem 2120

Problem 2121

4) Leona was in a golf tournament last week. All of her four rounds of gold were within 2 strokes of par. If par was 72 , what are the maximum and minimum scores that Leona could have made in the golf tournament?

Problem 2122

Problem 2123

Problem 2124

Problem 2125

Problem 2126

19. Sana says, "I know that 5 is greater than 4.5. Therefore, -5 must be greater than -4.5 ". Is Sana correct? Explain.Remember

Problem 2127

5 Hugo, Tom et Safwan collectionnent les cartes de hockey. Hugo a 9 cartes de plus que le double des cartes de Tom. Safwan a 13 cartes de moins que le quadruple des cartes de Tom.Si Hugo et Safwan ont le même nombre de cartes, combien en ont-ils chacun?

Problem 2128

Problem 2129

Problem 2130

This week they received 879 more books. How many books did they receive in all?

Problem 2131

A stereo system costs $275\$ 275$275. It was on sale for 15%15 \%15% off. The salesperson receives a 2%2 \%2% commission. How much of a commission do they receive? (c2016/2020 Lindsay Perro. All rights reserved.

Problem 2132

q=\mathrm{q}=q= 114812. (S pet] The supply aquation and the demand equation for a product are given below. Find the equiltrium quantion Show your work. Solutions by calculator receive no credit. Supply 500−39=74500-39=74500−39=74 Demand 16p+7q=870\text { Demand } 16 p+7 q=870 Demand 16p+7q=870

Problem 2133

Problem 2134

1) Amiah must unload a truck filled with 25 bags of dog food. Each bag weights 50.75 pounds. How many pounds does she have to lift? a. 12,687.50 pounds b. 1,268.751,268.751,268.75 pounds c. 126.875 pounds d. 1250 pounds

Problem 2135

```latex Finn is preparing supplies for electrical and carpentry teams. He places measuring tapes into boxes of 6. If Finn has 26 measuring tapes in total, how many full boxes does he use? ```

Problem 2136

Problem 2137

2) A soul food restaurant purchased 1528.80 pounds of flour. If they received 50 identical bags, how much rice was in each bag? a. 30.576 pounds b. 305.76 pounds c. 3.0576 pounds d. None of the above

Problem 2138

3. Priscilla bought cheese that weighs 34\frac{3}{4}43​ pounds. If she divides it into portions that are each 18\frac{1}{8}81​ pound, how many portions can she make?

Problem 2139

J) How many ounces are there in 8 grams? ()) Hint: 1 g≈0.035oz1 \mathrm{~g} \approx 0.035 \mathrm{oz}1 g≈0.035oz J) Round your answer to the nearest tenth. □\square□

Problem 2140

8 feet is how many meters? Hint: 1ft≈0.305 m1 \mathrm{ft} \approx 0.305 \mathrm{~m}1ft≈0.305 m Round your answer to the nearest tenth. □\square□

Problem 2141

How many gallons are there in 3 liters? Hint: 1 L ≈0.26gal\approx 0.26 \mathrm{gal}≈0.26gal Round your answer to the nearest tenth. □\square□

Problem 2142

4) At the end of a runner's half marathon, they ended up 510 feet above sea level. What was their change in elevation if the start was -320 feet below sea level?

Problem 2143

4 teaspoons is how many milliliters? Hint: 1 tsp ≈4.9 mL\approx 4.9 \mathrm{~mL}≈4.9 mL Round your answer to the nearest tenth. □\square□

Problem 2144

13 kilometers is how many miles? Hint: 1 km≈0.6mi1 \mathrm{~km} \approx 0.6 \mathrm{mi}1 km≈0.6mi Round your answer to the nearest tenth. □\square□

Problem 2145

Problem 2146

7. Will stacked 135 quarters. He put 9 quarters into each stack How many stacks did he make?

Problem 2147

Problem 2148

9. There are 210 workers at the football stadium to help clean up after the game. The workers are divided into 5 equal teams. How many workers are on each team?

Problem 2149

Problem 2150

3. Nasir ran 5125 \frac{1}{2}521​ laps around a track. If Mr. Rajiyah ra 1/41 / 41/4 laps around the same track, how many more laps did Nasir run than Mr. Rajiyah?

Problem 2151

11. Error Analysis Marsha says she can use 10 as the first three partial quotients when finding 261÷9261 \div 9261÷9. Do you agree or disagree? Explain your reasoning.

Problem 2152

Problem 2153

A line has a slope of -1 and passes through the point $(-12,11)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

A. Exercises
Write each number in standard complex number form, $a+b i$ .
1. 7
2. $-6 i$
3. $8+\sqrt{-8}$

10. A student answers $90 \%$ of the questions on a math exam correctly. If he answers 27 questions correctly, how many questions are on the exam?

What is the value of $k$ in the function $f(x)=\frac{2 x+k}{x+3}$ if its graph passes through the point ( 2 , 4.2)? 21.2 6 17 none of the above

Employers in the United States allocate $n$ fewer vacation days than the 25 days given by the average Japanese employer. Write an algebraic expression to show the number of vacation days given U.S. workers.

$40 \%$ of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?
Pick the model that represents the problem.
How many people were at Tim's Halloween party?

19. Sana says, "I know that 5 is greater than 4.5. Therefore, -5 must be greater than -4.5 ". Is Sana correct? Explain.
Remember

5 Hugo, Tom et Safwan collectionnent les cartes de hockey. Hugo a 9 cartes de plus que le double des cartes de Tom. Safwan a 13 cartes de moins que le quadruple des cartes de Tom.
Si Hugo et Safwan ont le même nombre de cartes, combien en ont-ils chacun?

A stereo system costs $\$ 275$ . It was on sale for $15 \%$ off. The salesperson receives a $2 \%$ commission. How much of a commission do they receive? (c2016/2020 Lindsay Perro. All rights reserved.

$\mathrm{q}=$ 1148
12. (S pet] The supply aquation and the demand equation for a product are given below. Find the equiltrium quantion Show your work. Solutions by calculator receive no credit. Supply $500-39=74$ $\text { Demand } 16 p+7 q=870$

1) Amiah must unload a truck filled with 25 bags of dog food. Each bag weights 50.75 pounds. How many pounds does she have to lift? a. 12,687.50 pounds b. $1,268.75$ pounds c. 126.875 pounds d. 1250 pounds

3. Priscilla bought cheese that weighs $\frac{3}{4}$ pounds. If she divides it into portions that are each $\frac{1}{8}$ pound, how many portions can she make?

J) How many ounces are there in 8 grams? ()) Hint: $1 \mathrm{~g} \approx 0.035 \mathrm{oz}$ J) Round your answer to the nearest tenth. $\square$

8 feet is how many meters? Hint: $1 \mathrm{ft} \approx 0.305 \mathrm{~m}$ Round your answer to the nearest tenth. $\square$

How many gallons are there in 3 liters? Hint: 1 L $\approx 0.26 \mathrm{gal}$ Round your answer to the nearest tenth. $\square$

4 teaspoons is how many milliliters? Hint: 1 tsp $\approx 4.9 \mathrm{~mL}$ Round your answer to the nearest tenth. $\square$

13 kilometers is how many miles? Hint: $1 \mathrm{~km} \approx 0.6 \mathrm{mi}$ Round your answer to the nearest tenth. $\square$

3. Nasir ran $5 \frac{1}{2}$ laps around a track. If Mr. Rajiyah ra $1 / 4$ laps around the same track, how many more laps did Nasir run than Mr. Rajiyah?

11. Error Analysis Marsha says she can use 10 as the first three partial quotients when finding $261 \div 9$ . Do you agree or disagree? Explain your reasoning.

The line $k$ has a slope of -2 . The line $j$ makes an angle of $30^{\circ}$ with $k$ . Find one possible value of the slope of the line $j$ . Give your answer in the form $d+e \sqrt{f}$ , where $d, e, f \in \mathbb{Z}$ .

12. Extend Your Thinking How can you find $316 \div 4$ two different ways by using different partial quotients in each solution?

(17a) In which quadrant is $\frac{2 \pi}{3}$ ?
The second quadrant. The third quadrant.
The fourth quadrant. The first quadrant

We want to evaluate $\sin \frac{2 \pi}{3}$ by first rewriting it in terms of the related acute angle. What is the related acute angle of $\frac{2 \pi}{3} ?$
Acute angle $=$ |Enter your next step here $\square$ radians

Practice Quiz: Perimeter and Circumference 0:07:42 elapsed
Question 9 (5 points) Listen Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi. 6 15.7 9.42 3

expressions related? Multiply both 12 and 6 by $\square$ to make 120 and 60.
Multiply both 12 and 6 by $\square$ to make 1,200 and 600 .