Word Problems

Problem 3001

Mia paints walls at $12 \frac{\mathrm{m}^{2}}{\mathrm{h}}$ . What is her rate in $\frac{\mathrm{cm}^{2}}{\min}$ ?

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Problem 3002

Find the slope of the tangent line to $f(x)=3x^{2}$ at $x=3$ using the limit definition of the derivative. Evaluate:
1. $f(3+h)=$
2. $f(3+h)-f(3)=$
3. $\frac{f(3+h)-f(3)}{h}=$
4. $\lim_{h \rightarrow 0} \frac{f(3+h)-f(3)}{h}=$
Then, find $f^{\prime}(3)=$

See Solution

Problem 3003

What was the population density of Rio de Janeiro in 2016 in people per square meter if it was $5377 \frac{\text { people }}{\mathrm{km}^{2}}$ ? $0.5377 \frac{\text { people }}{\mathrm{m}^{2}}$

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Problem 3004

How many gallons of paint are needed to cover a silo with height 30 ft and radius 5 ft, using $\pi=3.14$ ? Options: A. 13 B. 14 C. 11

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Problem 3005

How many times do they need to fill a $\frac{1}{2}$ -cup measuring cup to get 7 cups of flour? (Enter an integer or fraction.)

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Problem 3006

What is the batting's thermal conductivity in $\frac{\mathrm{W}}{\mathrm{cm} \cdot{ }^{\circ} \mathrm{C}}$ if it's 0.03 $\mathrm{W/m} \cdot{ }^{\circ} \mathrm{C}$ ?

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Problem 3007

Find the expression equivalent to $3(7 c+1)$ . Options: $7 c+3$ , $3 c+21$ , $21 c+3$ , $21 c+1$ .

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Problem 3008

Find the expression equivalent to $7(-3 t)$ . Options: $7-3 t$ , $t(-3 \cdot 7)$ , $7(t-3)$ , $t-21$ .

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Problem 3009

Find the response rate of students who answered a survey, given 800 surveyed and 200 non-respondents. Express as a fraction.

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Problem 3010

What is the ratio of cups of sugar to cups of carrots in Nicole's carrot bread recipe? Express it in three forms.

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Problem 3011

Calculate $3,481 \times 142$ using the step-by-step multiplication method. What is the final answer?

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Problem 3012

In a city with 11 public and 5 private pools, 6 are open on weekends. Is the ratio of open pools to total pools 6:11 or 6:22?

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Problem 3013

After 4 seconds, where is the sprite located? Choose from: (25,-25), (-25,0), (0,25), (-25,25).

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Problem 3014

Which expression equals $7(1+3)$ ? Options: $7+4$ , $7+21$ , $7+3$ , $1+21$ .

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Problem 3015

You have 8 hours total for a concert and museum, with at least 2 hours at the concert and over 5 at the museum. Find the system: $\begin{array}{l} x+y \leq 8 \\ x \geq 2 \\ y > 5 \\ \end{array}$

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Problem 3016

You have 8 hours total for a concert and museum. Spend at least 2 hours at the concert and more than 5 at the museum. Let $x$ be concert hours and $y$ be museum hours. What system represents this?

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Problem 3017

You have 8 hours total for a concert and museum. Let $x$ be concert hours and $y$ be museum hours. What system fits? $\begin{array}{ll} x+y \leq 8 & x \geq 2 \\ y > 5 & \end{array}$

See Solution

Problem 3018

How does the equilibrium system adjust when $\mathrm{H}_{2} \mathrm{~S}$ gas is removed? A, B, C, or D?

See Solution

Problem 3019

How does the equilibrium system adjust when cooled?
$2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2}(\mathrm{~g})+113.06 \mathrm{~kJ}$
A. Shift right, decrease $\mathrm{NO}$ and $\mathrm{O}_{2}$ . B. No change in equilibrium. C. Shift left, increase $\mathrm{NO}_{2}$ . D. Shift left, increase $\mathrm{O}_{2}$ .

See Solution

Problem 3020

What happens to the equilibrium when $\mathrm{SO}_{3}$ gas is removed from this reaction?
$2 \mathrm{SO}_{2} + \mathrm{O}_{2} \rightleftharpoons 2 \mathrm{SO}_{3} + 198 \mathrm{~kJ}$
A. Shift right, decrease $\mathrm{SO}_{2}$ and $\mathrm{O}_{2}$ .
B. Shift left, increase $\mathrm{O}_{2}$ .
C. Shift left, increase $\mathrm{SO}_{2}$ .
D. No change, remains at equilibrium.

See Solution

Problem 3021

Find the explicit formula for the sequence $-7, -4, -7, 2, 5$ . Choose from A, B, C, or D.

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Problem 3022

Jenny drove $\frac{3}{5}$ of the 469-mile Blue Ridge Parkway. How many miles did she drive as a mixed number?

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Problem 3023

Brandi swam 6 butterfly laps and 8 freestyle laps. Find the ratio of freestyle laps to total laps. Simplify your answer. $6+8=14$ A. $6: 14$ B. $8: 6$ C. $8: 14$ D. $14: 8$

See Solution

Problem 3024

How does the equilibrium system adjust when cooled?
$2 \mathrm{SO}_{2}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \rightleftharpoons 2 \mathrm{SO}_{3}(\mathrm{g})+198 \mathrm{kJ}$
A. Shift left, increase $\mathrm{O}_{2}$ concentration. B. Shift right, decrease $\mathrm{SO}_{2}$ and $\mathrm{O}_{2}$ . C. No change, remains at equilibrium. D. Shift left, increase $\mathrm{SO}_{2}$ concentration.

See Solution

Problem 3025

Find the value of $\frac{4 x-y}{2 y+x}$ for $x=3$ and $y=3$ . Options: -3, 1, 9, 18.

See Solution

Problem 3026

Find the expression that equals $4(2+3)$ . Options: $4+5$ , $8+3$ , $2+12$ , $8+12$ .

See Solution

Problem 3027

Find the 500th term of the sequence $24, 31, 38, 45, 52, \ldots$ using $a_{n}=a_{1}+(n-1) \cdot d$ . A. 3493 B. 3545 C. 3517 D. 3524

See Solution

Problem 3028

Find the formula for Marika's daily sprint distance after 21 days: A. $a_{n}=100+(n-1) 4$ B. $a_{n}=4+(n-1) 100$ C. $a_{n}=100+(n-1) 21$ D. $a_{n}=21+(n-1) 4$

See Solution

Problem 3029

Add $\frac{8}{9}+\frac{4}{9}$ and simplify as a mixed number. Options: $1 \frac{3}{9}$ , $\frac{2}{3}$ , $\frac{12}{9}$ , $1 \frac{1}{3}$ .

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Problem 3030

Find the expression equivalent to $36 \div 3 + 3$ : $2^{2} \div 3 \cdot 3$ , $2^{2} + 3 \cdot 3$ , $3 \cdot 2^{2} + 3$ , or $3 \cdot 2^{2} \div 3$ ?

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Problem 3031

Find the LCM of 9 and 12.

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Problem 3032

Zra sprints 100 yards and adds 5 yards daily for 21 days. Find his distance on day 21 using $a_{n}=100+(n-1)5$ . Options: A. 200 B. 100 C. 225 D. 205

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Problem 3033

Find the least common denominator and express these fractions: $\frac{3}{4}$ , $\frac{5}{6}$ , $\frac{9}{12}$ , $\frac{10}{12}$ , $\frac{3}{12}$ , $\frac{5}{12}$ , $\frac{18}{24}$ , $\frac{29}{24}$ .

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Problem 3034

Find the explicit formula for the sequence $5, 2, -1, -4, \ldots$ . Choose from the options A, B, C, or D.

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Problem 3035

Emile grew $3 \frac{9}{10} \mathrm{~cm}$ in seventh grade and $4 \frac{2}{5} \mathrm{~cm}$ in eighth grade. Find his total growth as a simplified mixed number.

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Problem 3036

The sequence $3, 6, 12, 24$ doubles each time. Describe this pattern in 15 words or fewer.

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Problem 3037

A 4-ounce Greek yogurt has 160 calories. What is the calorie rate per ounce?

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Problem 3038

Abdul paid \ $18.32 for 8 gallons of gas. What is the price per gallon? Use$ \frac{\ 18.32}{8} to find the answer.

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Problem 3039

Orly uses 2 cups of raisins for 8 cups of trail mix. How much trail mix for 12 cups of raisins? Options: $1 \frac{1}{3}$ , 8, 48, 3.

See Solution

Problem 3040

Four chicken nuggets have 180 calories. How many calories are in 9 nuggets? Options: 405, 80, 720, 1,620.

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Problem 3041

What happens when a $5.0 \mathrm{~L}$ container is expanded to $10.0 \mathrm{~L}$ for this reaction?
$51.8 \mathrm{~kJ}+\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$
A. Shift to the right for fewer moles. B. No change in moles. C. Shift to the left for more moles.

See Solution

Problem 3042

Round 157 and 884 to the nearest ten.

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Problem 3043

A table costs \ $374 after a$ 15\%$ discount. Find the original price.

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Problem 3044

Calculate $(2 x-12)+\left(\frac{1}{2} x y-10\right)$ for $x=8$ and $y=2$ . Choices: -10, 6, 2, -8.

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Problem 3045

Evaluate $20-3x$ for $x=2$ and $x=3$ . Which value is larger and what is that value?

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Problem 3046

An object with no width, length, or height is a(n): A. line B. ray C. angle D. point.

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Problem 3047

Evaluate $10 - y^{2}$ for $y = 3$ . Which is the correct substitution? A) $10 - 3^{2}$ B) $10 - 2^{2}$ C) $10 - (2)^{3}$

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Problem 3048

Nathan is building a rectangular toolshed. Find the area of the larger floor: $l=9, w=5$ or $l=7, w=7$ .

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Problem 3049

Find the sales tax from total sales of \$1007.26 with a 5% tax rate. Round to the nearest cent.

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Problem 3050

If you sleep 6 hours daily for a year (365 days), how many days is that as a mixed number? Simplify your answer.

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Problem 3051

Find the number: 4 times (number + 3) = 16. Solve it by working backward.

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Problem 3052

Find the LCM of 8 and 10.

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Problem 3053

Identify the geometric sequence from the options: A. $3,-15,-33,-51,-69$ B. $2,3,5,9,17$ C. $4,2,1,\frac{1}{2},\frac{1}{4}$ D. $3,6,9,12$

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Problem 3054

Each friend pays for their share of water bottles from c cases, costing \$1.25 each. Write the expression for their cost.

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Problem 3055

A student’s tuition is \ $2264. A loan covers$ 7/4$ of it. What is the loan amount? The loan was for \$

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Problem 3056

Find the explicit formula for the number of rabbits in generation $n$ if there are 108 rabbits in generation 3: $a_{n}=6 \cdot 3^{(n-1)}$ .

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Problem 3057

Walt earned $\$ 10,000$ from a part-time job, investing part at $9\%$ and the rest at $8\%$ , totaling $\$ 860$ in interest. How much is at $8\%$ ? A. $\$ 8,000$ B. $\$ 5,000$ C. $\$ 6,000$ D. $\$ 4,000$

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Problem 3058

How can you increase the formation of $\mathrm{H}_{2}$ in the reaction: $\mathrm{CH}_{4} + 2 \mathrm{H}_{2} \mathrm{S} \rightleftharpoons 4 \mathrm{H}_{2} + \mathrm{CS}_{2}$ ? Options: A. remove $\mathrm{CH}_{4}$ , B. remove $\mathrm{H}_{2} \mathrm{S}$ , C. remove $\mathrm{CS}_{2}$ , D. add $\mathrm{H}_{2}$ .

See Solution

Problem 3059

Find the formula for rabbit population in the $n$ th generation if it starts with 3 and multiplies by 6 each generation. A. $a_{n}=6 \cdot 3^{(n-1)}$ B. $a_{n}=3 \cdot\left(\frac{1}{6}\right)^{(n-1)}$ C. $a_{n}=6 \cdot\left(\frac{1}{3}\right)^{(n-1)}$ D. $a_{n}=3 \cdot 6^{(n-1)}$

See Solution

Problem 3060

How can you increase the formation of $\mathrm{Cl}_{2}$ in this reaction?
$4 \mathrm{HCl}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})+2 \mathrm{Cl}_{2}(\mathrm{~g})+203 \mathrm{~kJ}$
A. remove $\mathrm{HCl}$ B. increase the volume C. add $\mathrm{H}_{2} \mathrm{O}$ D. cool the system

See Solution

Problem 3061

Find the 8th term of the geometric sequence given by $a_{n}=6 \cdot(-2)^{(n-1)}$ . Options: A. -768 B. 768 C. -1536 D. 1536

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Problem 3062

Which method would NOT increase $\mathrm{HI}$ production in the reaction: $51.8 \mathrm{~kJ} + \mathrm{H}_{2} + \mathrm{I}_{2} \rightleftharpoons 2 \mathrm{HI}$ ? A. add $\mathrm{HI}$ B. heat C. add $\mathrm{H}_{2}$ D. add $\mathrm{I}_{2}$

See Solution

Problem 3063

Find the ground-state electron configuration of selenium using the Aufbau principle.

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Problem 3064

Find the size of a square cardboard needed to create an open-top box holding $100 \mathrm{in}^3$ by cutting $4$ in squares from each corner.

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Problem 3065

Find the next two numbers in the sequence: $7, 21, 63, 189$ .

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Problem 3066

Identify the option that is NOT a condition for dynamic equilibrium from the following: A, B, C, D.

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Problem 3067

A ball drops from a 53 ft building.
(a) Time to fall half the distance: $t=$ $\mathrm{sec}$ .
(b) Time to hit ground: $t=$ $\mathrm{sec}$ .

See Solution

Problem 3068

How does the equilibrium system adjust when heated? Consider:
$51.8 \mathrm{~kJ}+\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$

See Solution

Problem 3069

What happens to the system when $\mathrm{NO}_{2}$ is added to the equilibrium: $2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2}(\mathrm{~g})+113.06 \mathrm{~kJ}?$ A. Shift right, decrease $\mathrm{NO}_{2}$ . B. Shift left, increase $\mathrm{NO}$ and $\mathrm{O}_{2}$ . C. Shift left, decrease $\mathrm{NO}$ and $\mathrm{O}_{2}$ . D. Shift right, increase $\mathrm{NO}_{2}$ .

See Solution

Problem 3070

Maria has \$50 and saves money weekly to buy a \$200 TV. After 3 weeks, she has \$122. How many more weeks to save?

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Problem 3071

What happens to the equilibrium when $\mathrm{HI}$ gas is added to the system: A, B, C, or D? $51.8 \mathrm{~kJ}+\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$

See Solution

Problem 3072

What happens to the equilibrium when some $\mathrm{SO}_{3}$ gas is removed from the reaction $2 \mathrm{SO}_{2} + \mathrm{O}_{2} \rightleftharpoons 2 \mathrm{SO}_{3} + 198 \mathrm{~kJ}$ ?

See Solution

Problem 3073

Find the dimensions of cardboard for a cube box with side length $4x$ inches and volume $100 \, in^3$ .

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Problem 3074

How does the equilibrium system below adjust when cooled?
$2 \mathrm{SO}_{2}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_{3}(\mathrm{~g})+198 \mathrm{~kJ}$
A. Shift left, increase $\mathrm{O}_{2}$ concentration. B. Shift left, increase $\mathrm{SO}_{2}$ concentration. C. Shift right, decrease $\mathrm{SO}_{2}$ and $\mathrm{O}_{2}$ concentrations. D. No change, remains at equilibrium.

See Solution

Problem 3075

Identify the digit in 1,377,207 that equals $\frac{1}{10}$ of the value of the 7 in the ten thousands place.

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Problem 3076

What happens when a $5.0 \mathrm{~L}$ equilibrium system is expanded to $10.0 \mathrm{~L}$ ?
$51.8 \mathrm{~kJ}+\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$
Hint: Compare moles of gas on each side. A. No change. B. Shift left. C. Shift right.

See Solution

Problem 3077

What happens to the equilibrium when a 7.0 L container is reduced to 2.5 L for the reaction:
$2 \mathrm{SO}_{2} + \mathrm{O}_{2} \rightleftharpoons 2 \mathrm{SO}_{3} + 198 \mathrm{~kJ}$ ?
A. No change. B. Shift left. C. Shift right.

See Solution

Problem 3078

Tarik ate $\frac{2}{5}$ of the cookies and his sister ate $\frac{1}{6}$ . What fraction did they eat together? Simplify.

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Problem 3079

How can you increase product formation of $\mathrm{SO}_{2}$ in the reaction: $4558 \mathrm{~kJ}+2 \mathrm{SO}_{3} \rightleftharpoons 2 \mathrm{SO}_{2}+\mathrm{O}_{2}$ ? Options: A. cool B. add $\mathrm{O}_{2}$ C. remove $\mathrm{O}$ D. remove $\mathrm{SO}_{3}$

See Solution

Problem 3080

Find the 4-digit number where all digits are the same and the hundreds digit is 200. What is the number?

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Problem 3081

Orly uses 2 cups of raisins for 12 cups of trail mix. How much trail mix for 8 cups of raisins? Options: 3 cups, $1 \frac{1}{3}$ cups, 12 cups, 48 cups.

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Problem 3082

A ball is dropped from a 94 ft building. Find the time to fall half the distance and to ground level: (a) $t=$ sec, (b) $t=$ sec.

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Problem 3083

Reflect points $A(2,1), B(6,1), C(4,3)$ across the line $y=-3$ .

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Problem 3084

Tristan's truck carries $\frac{9}{4}$ cords of wood. How many trips for 27 cords?

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Problem 3085

Calculate the area of a rectangle with length $\frac{1}{4}$ and width $\frac{4}{11}$ .

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Problem 3086

Find the new coordinates of points $A(-4,2)$ , $B(-7,-1)$ , and $C(0,1)$ after reflecting across the $x$ -axis.

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Problem 3087

Find the length of a rectangular swimming pool with an area of 210 sq ft and a width of 9 ft. Use $A = l \times w$ .

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Problem 3088

Lena uses 2 cups for cookies, $2 \frac{1}{2}$ cups for bread, and $\frac{1}{2}$ cup for dusting. Find flour usage: $2c + 2.5b + 0.5$ .

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Problem 3089

A ball is dropped from a 94 ft building. Find the time to fall half the distance and to ground level.
(a) Time to fall half: $t=$ $x^{*} \mathrm{sec}$
(b) Time to fall to ground: $t=$ $\mathrm{sec}$

See Solution

Problem 3090

A ball drops from a 94 ft building. (Round to 3 decimal places.) (a) Time to fall half distance? $t=1.8$ (b) Time to reach ground? $t=2.4$

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Problem 3091

Lena uses 2 cups for cookies, $2 \frac{1}{2}$ for bread, and $\frac{1}{2}$ for dusting. Find a formula for flour used.

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Problem 3092

The cost of laser eye surgery in Country B is $\$ 1500$ for each eye.

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Problem 3093

What is the angle measure after rotating a 76-degree angle 180 degrees clockwise?

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Problem 3094

Find the amounts for 39 cupcakes (3.25 times the recipe): (a) Applesauce: $\frac{3}{4} \times 3.25$ cups (b) Salt: $\frac{1}{2} \times 3.25$ tsp (c) Flour: $1 \frac{3}{4} \times 3.25$ cups

See Solution

Problem 3095

How many orbitals are in a subshell with angular momentum quantum number $I=3$ ?

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Problem 3096

A student's tuition was \ $5096. They took a loan for$ \frac{4}{7}$ of that amount. What is the loan amount?

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Problem 3097

How many times do they fill a $\frac{1}{3}$ -cup measuring cup to get 6 cups of flour?

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Problem 3098

At a run festival, if $\frac{3}{11}$ of 1540 runners are women, how many women are there?

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Problem 3099

A triangle $A$ has an area of 3 sq. units and a base of 3 units. A scaled copy has an area of 72 sq. units.
a. How much larger is the area of the copy than Triangle $A$ ?
b. What scale factor did Lin use for the copy?
c. What is the length of the bottom side of the copy?

See Solution

Problem 3100

Determine if each relation is a function: (a) States & Capitals, (b) States & Cities, (c) Families & Pets, (d) Families & Last names. Explain.

See Solution

1 ...28 29 30 31 32 33 34 ...101

Word Problems

Problem 3001

Mia paints walls at 12m2h12 \frac{\mathrm{m}^{2}}{\mathrm{h}}12hm2​. What is her rate in cm2min⁡\frac{\mathrm{cm}^{2}}{\min}mincm2​?

Problem 3002

Problem 3003

What was the population density of Rio de Janeiro in 2016 in people per square meter if it was 5377 people km25377 \frac{\text { people }}{\mathrm{km}^{2}}5377km2 people ​? 0.5377 people m20.5377 \frac{\text { people }}{\mathrm{m}^{2}}0.5377m2 people ​

Problem 3004

How many gallons of paint are needed to cover a silo with height 30 ft and radius 5 ft, using π=3.14\pi=3.14π=3.14? Options: A. 13 B. 14 C. 11

Problem 3005

How many times do they need to fill a 12\frac{1}{2}21​-cup measuring cup to get 7 cups of flour? (Enter an integer or fraction.)

Problem 3006

What is the batting's thermal conductivity in Wcm⋅∘C\frac{\mathrm{W}}{\mathrm{cm} \cdot{ }^{\circ} \mathrm{C}}cm⋅∘CW​ if it's 0.03 W/m⋅∘C\mathrm{W/m} \cdot{ }^{\circ} \mathrm{C}W/m⋅∘C?

Problem 3007

Find the expression equivalent to 3(7c+1)3(7 c+1)3(7c+1). Options: 7c+37 c+37c+3, 3c+213 c+213c+21, 21c+321 c+321c+3, 21c+121 c+121c+1.

Problem 3008

Find the expression equivalent to 7(−3t)7(-3 t)7(−3t). Options: 7−3t7-3 t7−3t, t(−3⋅7)t(-3 \cdot 7)t(−3⋅7), 7(t−3)7(t-3)7(t−3), t−21t-21t−21.

Problem 3009

Find the response rate of students who answered a survey, given 800 surveyed and 200 non-respondents. Express as a fraction.

Problem 3010

What is the ratio of cups of sugar to cups of carrots in Nicole's carrot bread recipe? Express it in three forms.

Problem 3011

Calculate 3,481×1423,481 \times 1423,481×142 using the step-by-step multiplication method. What is the final answer?

Problem 3012

In a city with 11 public and 5 private pools, 6 are open on weekends. Is the ratio of open pools to total pools 6:11 or 6:22?

Problem 3013

After 4 seconds, where is the sprite located? Choose from: (25,-25), (-25,0), (0,25), (-25,25).

Problem 3014

Which expression equals 7(1+3)7(1+3)7(1+3)? Options: 7+47+47+4, 7+217+217+21, 7+37+37+3, 1+211+211+21.

Problem 3015

You have 8 hours total for a concert and museum, with at least 2 hours at the concert and over 5 at the museum. Find the system: x+y≤8x≥2y>5 \begin{array}{l} x+y \leq 8 \\ x \geq 2 \\ y > 5 \\ \end{array} x+y≤8x≥2y>5​

Problem 3016

You have 8 hours total for a concert and museum. Spend at least 2 hours at the concert and more than 5 at the museum. Let xxx be concert hours and yyy be museum hours. What system represents this?

Problem 3017

You have 8 hours total for a concert and museum. Let xxx be concert hours and yyy be museum hours. What system fits? x+y≤8x≥2y>5 \begin{array}{ll} x+y \leq 8 & x \geq 2 \\ y > 5 & \end{array} x+y≤8y>5​x≥2​

Problem 3018

How does the equilibrium system adjust when H2 S\mathrm{H}_{2} \mathrm{~S}H2​ S gas is removed? A, B, C, or D?

Problem 3019

Problem 3020

Problem 3021

Find the explicit formula for the sequence −7,−4,−7,2,5-7, -4, -7, 2, 5−7,−4,−7,2,5. Choose from A, B, C, or D.

Problem 3022

Jenny drove 35\frac{3}{5}53​ of the 469-mile Blue Ridge Parkway. How many miles did she drive as a mixed number?

Problem 3023

Brandi swam 6 butterfly laps and 8 freestyle laps. Find the ratio of freestyle laps to total laps. Simplify your answer. 6+8=146+8=146+8=14 A. 6:146: 146:14 B. 8:68: 68:6 C. 8:148: 148:14 D. 14:814: 814:8

Problem 3024

Problem 3025

Find the value of 4x−y2y+x\frac{4 x-y}{2 y+x}2y+x4x−y​ for x=3x=3x=3 and y=3y=3y=3. Options: -3, 1, 9, 18.

Problem 3026

Find the expression that equals 4(2+3)4(2+3)4(2+3). Options: 4+54+54+5, 8+38+38+3, 2+122+122+12, 8+128+128+12.

Problem 3027

Find the 500th term of the sequence 24,31,38,45,52,…24, 31, 38, 45, 52, \ldots24,31,38,45,52,… using an=a1+(n−1)⋅da_{n}=a_{1}+(n-1) \cdot dan​=a1​+(n−1)⋅d. A. 3493 B. 3545 C. 3517 D. 3524

Problem 3028

Find the formula for Marika's daily sprint distance after 21 days: A. an=100+(n−1)4a_{n}=100+(n-1) 4an​=100+(n−1)4 B. an=4+(n−1)100a_{n}=4+(n-1) 100an​=4+(n−1)100 C. an=100+(n−1)21a_{n}=100+(n-1) 21an​=100+(n−1)21 D. an=21+(n−1)4a_{n}=21+(n-1) 4an​=21+(n−1)4

Problem 3029

Add 89+49\frac{8}{9}+\frac{4}{9}98​+94​ and simplify as a mixed number. Options: 1391 \frac{3}{9}193​, 23\frac{2}{3}32​, 129\frac{12}{9}912​, 1131 \frac{1}{3}131​.

Problem 3030

Find the expression equivalent to 36÷3+336 \div 3 + 336÷3+3: 22÷3⋅32^{2} \div 3 \cdot 322÷3⋅3, 22+3⋅32^{2} + 3 \cdot 322+3⋅3, 3⋅22+33 \cdot 2^{2} + 33⋅22+3, or 3⋅22÷33 \cdot 2^{2} \div 33⋅22÷3?

Problem 3031

Find the LCM of 9 and 12.

Problem 3032

Zra sprints 100 yards and adds 5 yards daily for 21 days. Find his distance on day 21 using an=100+(n−1)5a_{n}=100+(n-1)5an​=100+(n−1)5. Options: A. 200 B. 100 C. 225 D. 205

Problem 3033

Find the least common denominator and express these fractions: 34\frac{3}{4}43​, 56\frac{5}{6}65​, 912\frac{9}{12}129​, 1012\frac{10}{12}1210​, 312\frac{3}{12}123​, 512\frac{5}{12}125​, 1824\frac{18}{24}2418​, 2924\frac{29}{24}2429​.

Problem 3034

Find the explicit formula for the sequence 5,2,−1,−4,…5, 2, -1, -4, \ldots5,2,−1,−4,…. Choose from the options A, B, C, or D.

Problem 3035

Emile grew 3910 cm3 \frac{9}{10} \mathrm{~cm}3109​ cm in seventh grade and 425 cm4 \frac{2}{5} \mathrm{~cm}452​ cm in eighth grade. Find his total growth as a simplified mixed number.

Problem 3036

The sequence 3,6,12,243, 6, 12, 243,6,12,24 doubles each time. Describe this pattern in 15 words or fewer.

Problem 3037

A 4-ounce Greek yogurt has 160 calories. What is the calorie rate per ounce?

Problem 3038

Abdul paid \18.32for8gallonsofgas.Whatisthepricepergallon?Use18.32 for 8 gallons of gas. What is the price per gallon? Use 18.32for8gallonsofgas.Whatisthepricepergallon?Use\frac{\ 18.32}{8} to find the answer.

Problem 3039

Orly uses 2 cups of raisins for 8 cups of trail mix. How much trail mix for 12 cups of raisins? Options: 1131 \frac{1}{3}131​, 8, 48, 3.

Problem 3040

Four chicken nuggets have 180 calories. How many calories are in 9 nuggets? Options: 405, 80, 720, 1,620.

Problem 3041

Problem 3042

Round 157 and 884 to the nearest ten.

Mia paints walls at $12 \frac{\mathrm{m}^{2}}{\mathrm{h}}$ . What is her rate in $\frac{\mathrm{cm}^{2}}{\min}$ ?

What was the population density of Rio de Janeiro in 2016 in people per square meter if it was $5377 \frac{\text { people }}{\mathrm{km}^{2}}$ ? $0.5377 \frac{\text { people }}{\mathrm{m}^{2}}$

How many gallons of paint are needed to cover a silo with height 30 ft and radius 5 ft, using $\pi=3.14$ ? Options: A. 13 B. 14 C. 11

How many times do they need to fill a $\frac{1}{2}$ -cup measuring cup to get 7 cups of flour? (Enter an integer or fraction.)

What is the batting's thermal conductivity in $\frac{\mathrm{W}}{\mathrm{cm} \cdot{ }^{\circ} \mathrm{C}}$ if it's 0.03 $\mathrm{W/m} \cdot{ }^{\circ} \mathrm{C}$ ?

Find the expression equivalent to $3(7 c+1)$ . Options: $7 c+3$ , $3 c+21$ , $21 c+3$ , $21 c+1$ .

Find the expression equivalent to $7(-3 t)$ . Options: $7-3 t$ , $t(-3 \cdot 7)$ , $7(t-3)$ , $t-21$ .

Calculate $3,481 \times 142$ using the step-by-step multiplication method. What is the final answer?

Which expression equals $7(1+3)$ ? Options: $7+4$ , $7+21$ , $7+3$ , $1+21$ .

You have 8 hours total for a concert and museum, with at least 2 hours at the concert and over 5 at the museum. Find the system: $\begin{array}{l} x+y \leq 8 \\ x \geq 2 \\ y > 5 \\ \end{array}$

You have 8 hours total for a concert and museum. Spend at least 2 hours at the concert and more than 5 at the museum. Let $x$ be concert hours and $y$ be museum hours. What system represents this?

You have 8 hours total for a concert and museum. Let $x$ be concert hours and $y$ be museum hours. What system fits? $\begin{array}{ll} x+y \leq 8 & x \geq 2 \\ y > 5 & \end{array}$

How does the equilibrium system adjust when $\mathrm{H}_{2} \mathrm{~S}$ gas is removed? A, B, C, or D?

Find the explicit formula for the sequence $-7, -4, -7, 2, 5$ . Choose from A, B, C, or D.

Jenny drove $\frac{3}{5}$ of the 469-mile Blue Ridge Parkway. How many miles did she drive as a mixed number?

Brandi swam 6 butterfly laps and 8 freestyle laps. Find the ratio of freestyle laps to total laps. Simplify your answer. $6+8=14$ A. $6: 14$ B. $8: 6$ C. $8: 14$ D. $14: 8$

Find the value of $\frac{4 x-y}{2 y+x}$ for $x=3$ and $y=3$ . Options: -3, 1, 9, 18.

Find the expression that equals $4(2+3)$ . Options: $4+5$ , $8+3$ , $2+12$ , $8+12$ .

Find the 500th term of the sequence $24, 31, 38, 45, 52, \ldots$ using $a_{n}=a_{1}+(n-1) \cdot d$ . A. 3493 B. 3545 C. 3517 D. 3524

Find the formula for Marika's daily sprint distance after 21 days: A. $a_{n}=100+(n-1) 4$ B. $a_{n}=4+(n-1) 100$ C. $a_{n}=100+(n-1) 21$ D. $a_{n}=21+(n-1) 4$

Add $\frac{8}{9}+\frac{4}{9}$ and simplify as a mixed number. Options: $1 \frac{3}{9}$ , $\frac{2}{3}$ , $\frac{12}{9}$ , $1 \frac{1}{3}$ .

Find the expression equivalent to $36 \div 3 + 3$ : $2^{2} \div 3 \cdot 3$ , $2^{2} + 3 \cdot 3$ , $3 \cdot 2^{2} + 3$ , or $3 \cdot 2^{2} \div 3$ ?

Zra sprints 100 yards and adds 5 yards daily for 21 days. Find his distance on day 21 using $a_{n}=100+(n-1)5$ . Options: A. 200 B. 100 C. 225 D. 205

Find the least common denominator and express these fractions: $\frac{3}{4}$ , $\frac{5}{6}$ , $\frac{9}{12}$ , $\frac{10}{12}$ , $\frac{3}{12}$ , $\frac{5}{12}$ , $\frac{18}{24}$ , $\frac{29}{24}$ .

Find the explicit formula for the sequence $5, 2, -1, -4, \ldots$ . Choose from the options A, B, C, or D.

Emile grew $3 \frac{9}{10} \mathrm{~cm}$ in seventh grade and $4 \frac{2}{5} \mathrm{~cm}$ in eighth grade. Find his total growth as a simplified mixed number.

The sequence $3, 6, 12, 24$ doubles each time. Describe this pattern in 15 words or fewer.

Abdul paid \ $18.32 for 8 gallons of gas. What is the price per gallon? Use$ \frac{\ 18.32}{8} to find the answer.

Orly uses 2 cups of raisins for 8 cups of trail mix. How much trail mix for 12 cups of raisins? Options: $1 \frac{1}{3}$ , 8, 48, 3.

A table costs \ $374 after a$ 15\%$ discount. Find the original price.

Calculate $(2 x-12)+\left(\frac{1}{2} x y-10\right)$ for $x=8$ and $y=2$ . Choices: -10, 6, 2, -8.

Evaluate $20-3x$ for $x=2$ and $x=3$ . Which value is larger and what is that value?

Evaluate $10 - y^{2}$ for $y = 3$ . Which is the correct substitution? A) $10 - 3^{2}$ B) $10 - 2^{2}$ C) $10 - (2)^{3}$

Nathan is building a rectangular toolshed. Find the area of the larger floor: $l=9, w=5$ or $l=7, w=7$ .

Identify the geometric sequence from the options: A. $3,-15,-33,-51,-69$ B. $2,3,5,9,17$ C. $4,2,1,\frac{1}{2},\frac{1}{4}$ D. $3,6,9,12$

A student’s tuition is \ $2264. A loan covers$ 7/4$ of it. What is the loan amount? The loan was for \$

Find the explicit formula for the number of rabbits in generation $n$ if there are 108 rabbits in generation 3: $a_{n}=6 \cdot 3^{(n-1)}$ .

Walt earned $\$ 10,000$ from a part-time job, investing part at $9\%$ and the rest at $8\%$ , totaling $\$ 860$ in interest. How much is at $8\%$ ? A. $\$ 8,000$ B. $\$ 5,000$ C. $\$ 6,000$ D. $\$ 4,000$

Find the 8th term of the geometric sequence given by $a_{n}=6 \cdot(-2)^{(n-1)}$ . Options: A. -768 B. 768 C. -1536 D. 1536

Which method would NOT increase $\mathrm{HI}$ production in the reaction: $51.8 \mathrm{~kJ} + \mathrm{H}_{2} + \mathrm{I}_{2} \rightleftharpoons 2 \mathrm{HI}$ ? A. add $\mathrm{HI}$ B. heat C. add $\mathrm{H}_{2}$ D. add $\mathrm{I}_{2}$

Find the size of a square cardboard needed to create an open-top box holding $100 \mathrm{in}^3$ by cutting $4$ in squares from each corner.

Find the next two numbers in the sequence: $7, 21, 63, 189$ .

A ball drops from a 53 ft building.
(a) Time to fall half the distance: $t=$ $\mathrm{sec}$ .
(b) Time to hit ground: $t=$ $\mathrm{sec}$ .

How does the equilibrium system adjust when heated? Consider:
$51.8 \mathrm{~kJ}+\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$

What happens to the equilibrium when $\mathrm{HI}$ gas is added to the system: A, B, C, or D? $51.8 \mathrm{~kJ}+\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$

What happens to the equilibrium when some $\mathrm{SO}_{3}$ gas is removed from the reaction $2 \mathrm{SO}_{2} + \mathrm{O}_{2} \rightleftharpoons 2 \mathrm{SO}_{3} + 198 \mathrm{~kJ}$ ?

Find the dimensions of cardboard for a cube box with side length $4x$ inches and volume $100 \, in^3$ .