Word Problems

Problem 2801

Identify if the matrices are in reduced echelon form or only echelon form: a. $\begin{bmatrix}1 & 1 & 0 & 1 & 1 \\ 0 & 5 & 0 & 5 & 5 \\ 0 & 0 & 0 & 3 & 3 \\ 0 & 0 & 0 & 0 & 4\end{bmatrix}$ b. $\begin{bmatrix}1 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 0\end{bmatrix}$ c. $\begin{bmatrix}1 & 5 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1\end{bmatrix}$

See Solution

Problem 2802

Find the next five Fibonacci terms after $144, 233, 377, 610$ and the $14^{\text{th}}$ term if $F_8 = 21$ and $F_9 = 34$ .

See Solution

Problem 2803

Which expressions equal $4 x$ ? Choose two: (A) $3 x+x$ , (B) $2 x+2$ , (C) $4+x$ , (D) $8 x-4$ .

See Solution

Problem 2804

In a math class with a boys to girls ratio of $7:8$ , which statement is true? (a) Boys are $\frac{7}{8}$ of the class. (b) Girls are $\frac{8}{15}$ of the class. (c) There's 1 more girl. (d) There are 15 students total.

See Solution

Problem 2805

Identify two statistical questions from the following: (A) Age of students at my school? (B) Year Mississippi became a state? (C) Dogs owned by my teacher? (D) Height of tallest mountain? (E) Favorite color of sixth graders at $m$ school?

See Solution

Problem 2806

Eva earns an 8% commission. Calculate her total commission from these sales: Refrigerator ( $2,200, 4), Washing Machine ($ 1,650, 7), Clothes Dryer ( $1,200, 7), Dishwasher ($ 450, 6).

See Solution

Problem 2807

Eva earns a 5% commission. Calculate her total commission from selling 10 refrigerators at \$1,200, 6 washers at \$650, 12 dryers at \$600, and 8 dishwashers at \$450.

See Solution

Problem 2808

Eva earns an $8\%$ commission. Calculate her total commission based on her weekly sales: 4 refrigerators at \$2,200, 7 washers at \$1,650, 7 dryers at \$1,200, and 6 dishwashers at \$450.

See Solution

Problem 2809

Write an expression for the surface area of a sphere: $A = 4\pi r^2$ . Then, find the area for a radius of 25.4 cm.

See Solution

Problem 2810

Total ticket sales expression: $100n + 250t$ , where $n$ is one-day passes and $t$ is three-day passes sold.

See Solution

Problem 2811

Find the total steps $s$ to reach floors 2, 3, 4, and 5 if it takes 14 steps to go from floor 0 to 1.

See Solution

Problem 2812

A car traveled from 1350 to 1815. How long was the journey? After a $1 \frac{1}{2}$ hour break, how long did she drive?

See Solution

Problem 2813

Mark Adler earns \$1,650 monthly. His new job pays \$9.80/hour with time and a half over 36 hours. How many overtime hours per week are needed to match his current weekly earnings?

See Solution

Problem 2814

Compare the graphs of $y=x$ , $y=x+\frac{5}{6}$ , and $y=-2x$ . Answer questions about steepness and $y$ -intercepts.

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Problem 2815

A 1 m wire is cut into 5 parts of 150 mm each. Find the remaining length in cm.

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Problem 2816

An employee earns \$9.25/hour and \$8 for every 20 transformers. Find their hourly earnings for 36 hours and 380 transformers.

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Problem 2817

Johnathan picked beads 50 times. He got red 12, yellow 14, blue 24. How many blue beads in 150 picks? (A) 36 (B) 42 (C) 72 (D) 78

See Solution

Problem 2818

A wire is $1 \mathrm{~m}$ long. If cut into 5 parts of $150 \mathrm{~mm}$ each, find the remaining length in $\mathrm{cm}$ .

See Solution

Problem 2819

Missy rode 16 miles in 1.25 hours. What is her average speed in miles per hour?

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Problem 2820

Missy rode 16 miles in $1 \frac{1}{4}$ hours. Find her average speed in miles per hour.

See Solution

Problem 2821

Order the numbers 10,070, 2,354, 3,678, 2,298, and 3,687 from least to greatest and place them in a chart.

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Problem 2822

What does the point $(3,7.5)$ mean in the graph showing twine usage for bundles of wood? (A) 7.5 feet for 7.5 bundles. (B) 7.5 feet for 3 bundles. (C) 3 feet for 7.5 bundles. (D) 3 feet for 3 bundles.

See Solution

Problem 2823

Which sampling method should Jill use to find the most popular sport among students? (A) First 15 in cafeteria (B) Every third student (C) All sports team members (D) All gym class students.

See Solution

Problem 2824

Carlos jogged $5 \frac{3}{4}$ laps in 8 minutes. What is his average speed in laps per minute?

See Solution

Problem 2825

Christina drove $64 \frac{1}{6}$ miles using $2 \frac{1}{3}$ gallons of gas. Find her car's fuel efficiency in miles per gallon.

See Solution

Problem 2826

What place value is the underlined digit in 16 \underline{5}, 633?

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Problem 2827

Mr. Gill's pump drains water at $-2 \frac{1}{4}$ inches/hour. A stronger pump drains $2 \frac{1}{2}$ times faster. Find the rate.

See Solution

Problem 2828

Find the value of $\frac{1}{3}x - \frac{3}{4}$ for $x=\frac{1}{4}$ .

See Solution

Problem 2829

How many times greater is the surface area of Seung's square pyramid block than Derek's half-sized block? (A) 2 (B) 3 (C) 4 (D) 8

See Solution

Problem 2830

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour?

See Solution

Problem 2831

Write the number 24639 in word form, expanded form, and expanded notation.

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Problem 2832

Christina used $2 \frac{1}{3}$ gallons of gas for $64 \frac{1}{6}$ miles. Find her fuel efficiency in miles per gallon.

See Solution

Problem 2833

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour? Answer: 63 sq ft.

See Solution

Problem 2834

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

See Solution

Problem 2835

Mail carriers delivered 1,344 pieces of mail. If $\frac{1}{6}$ were magazines and $\frac{1}{12}$ were packages, how many letters were delivered?

See Solution

Problem 2836

What shape do you get when a triangular prism is cut by a plane parallel to its base? (A) pentagon (B) rectangle (C) square (D) triangle

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Problem 2837

Cindy mixes $19 \frac{1}{4}$ grams of drink mix in $1 \frac{3}{4}$ ounces of water. Find grams per ounce of water.

See Solution

Problem 2838

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

See Solution

Problem 2839

Find the unit price of a $21 \frac{1}{2}$ -ounce cereal box that costs \$3.87 in \$ per ounce.

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Problem 2840

Paul sells \ $2 raffle tickets. To earn a jacket, he needs \$230 total. If he sold \$50, how many more tickets,$ x $, does he need? (A)$ x \geq 90 $(B)$ x \leq 90 $(C)$ x \geq 180 $(D)$ x \leq 180$

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Problem 2841

A bakery sold muffins in ratios: cranberry to blueberry is 2:3, blueberry to cinnamon is 4:1. With 60 blueberries, how many more cranberries than cinnamons? (A) 15 (B) 20 (C) 25 (D) 40

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Problem 2842

What is the probability that a randomly assigned two-digit uniform number (10-99) ends in 0? Options: (A) $\frac{9}{100}$ (B) $\frac{1}{10}$ (C) $\frac{10}{99}$ (D) $\frac{1}{9}$

See Solution

Problem 2843

Angles $AXB$ and $BXC$ are supplementary. Find the measure of angle $AXB$ . Options: (A) $162^{\circ}$ (B) $146^{\circ}$ (C) $34^{\circ}$ (D) $18^{\circ}$

See Solution

Problem 2844

A bus traveled 120 miles in $2 \frac{1}{2}$ hours. What was its speed in mph? (A) $40$ (B) $45$ (C) $48$ (D) $50$

See Solution

Problem 2845

A truck used $10 \frac{2}{5}$ gallons for 65 miles. Find its fuel efficiency in miles per gallon.

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Problem 2846

A semi truck used $10 \frac{2}{5}$ gallons to travel 65 miles. Find its fuel efficiency in miles per gallon.

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Problem 2847

Find the unit price of a $21 \frac{1}{2}$ -ounce cereal box that costs \$3.87: \$ per ounce.

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Problem 2848

Olivia buys water for \$1.28 daily. How much does she spend in 5 days?

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Problem 2849

Zach's first quiz score is what if his last score is $30$ less than $2$ times his first, and their sum is $150$ ?

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Problem 2850

수렴하는 수열을 고르세요: ᄀ. $\left\{\frac{1}{2 n+1}\right\}$ , ㄴ. $\left\{\frac{(-1)^{n}}{n}\right\}$ , ᄃ. $\left\{(-1)^{n}+2\right\}$ .

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Problem 2851

Find the dimensions of two rectangles:
1. First rectangle: length is 18 cm more than width.
2. Second rectangle: 6 cm shorter and 3 cm wider than the first, perimeter is 126 cm.

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Problem 2852

Becky has dimes equal to Ryan and Amy combined. Ryan has 2 more than Amy, who has one third of Becky's dimes. Find their dimes.

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Problem 2853

A cup of skim milk has 10 more than half the calories of whole milk. Whole milk has 40 more calories than apple juice. Total is 370. Find calories in each.

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Problem 2854

Find the market price of an 8% preferred stock with a \$100 face value at a 10% yield. What if the yield rises to 12%?

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Problem 2855

A set of quarters and dimes totals \$6.75. Dimes are 4 less than 3 times quarters. Find the quantities.

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Problem 2856

Calculate the stock value of Delphi Products with a current dividend of \$2, growing at varying rates and an 18% return.

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Problem 2857

What is the intrinsic value of Wayne's Steaks preferred stock at a 12% return if it pays 9% dividends and costs \$73?

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Problem 2858

North Great Timber Co. plans a \$1.50 dividend next year, growing at 9%. Analyze price impacts of three strategies.

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Problem 2859

Find the yield of a preferred stock sold for \$100 with an \$8 annual dividend. Also, find the yield to call if it's called at \$110 in 5 years.

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Problem 2860

Fawlty Foods paid a \$1.40 dividend, closing price \$21, required return 12%. Find growth rate, dividend yield, and capital gains yield.

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Problem 2861

Calculate the intrinsic value of a \$1,000 bond with a 9% coupon rate, 15 years to maturity, and a 14% required return.

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Problem 2862

Find the area of triangle formed by the tangent to $y=\frac{8}{4+x^{2}}$ at $x=z$ and the coordinate axes.

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Problem 2863

A conical water tank has a semi-vertical angle of $\tan^{-1} \frac{3}{4}$ . Water is added at 6 m³/hour. Find the rate of increase of the wet curved surface area (m²/hour) when the water depth is 4 m.

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Problem 2864

Great Northern Railway has perpetual bonds. Current price is \$1,120, pays \$45 semiannually. Find semiannual yield and annual yields.

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Problem 2865

Rob's current age if he will be 81 in ten years is given by the equation: $x + 10 = 81$ .

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Problem 2866

If a patient takes a pill every 3 hours starting at 8:00 AM today, will she take one tomorrow at 8:00 AM? Explain.

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Problem 2867

Find the number of yards in 4 miles using the unknown ratio of yards to miles.

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Problem 2868

Ashley ran 33 miles, which is 15 miles more than Kristin. How many miles did Kristin run?

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Problem 2869

Scott won 45 pieces of gum and has 23 left. How many did he give away? Use the equation: $45 - x = 23$ .

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Problem 2870

Envelopes cost \$7 per box. How many boxes did Pranav buy if he spent \$63?

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Problem 2871

What was the total bill if Jessica and 5 friends each paid \$10?

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Problem 2872

Find the prime factorization of $75$ .

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Problem 2873

Identify the correct notation for permutations among these options: $r P n$ , $P(n, r)$ , $C(n, r)$ , $\mathrm{nCr}$ .

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Problem 2874

In a library, $40\%$ of books are in English, $80\%$ of the rest are in Hindi, and 240 are in other languages. Total books?

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Problem 2875

Find the LCM of 9 and $6$ .

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Problem 2876

In a group of 348 students, how many will have an IQ within 1 standard deviation (15) of the mean (100)?

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Problem 2877

The drama club sells student tickets for \ $5.50 and adult tickets for \$9. Max capacity is 140 people, and they need at least \$990. Let$ x $be student tickets and$ y$ adult tickets. Write and solve the inequalities graphically to find one solution.

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Problem 2878

What percentage of a sample is above 3 standard deviations from the mean according to the empirical rule? a. 2.5 b. 0.5 c. 1 d. 2

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Problem 2879

How many students have IQs > 100? Also, what % of a sample is within one standard deviation below the mean?

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Problem 2880

In how many years will a Senate seat (6 years) and a House seat (2 years) be up for election together?

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Problem 2881

Calculate the mean, median, mode (with frequency), standard deviation, and variance of ages: $18,18,18,19,29,19,19,20,22,22,23,23,23,24,25,26,26,29,33,64$ .

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Problem 2882

A's salary is 50% more than B's. What percent less is B's salary than A's? (a) 33 1/3% (b) 50% (c) 43% (d) None of these

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Problem 2883

Which option is not a standard score? a. SAT b. SAT reading/writing c. IQ d. all are standard scores

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Problem 2884

Find the percentage by which the first number is greater than the second, given they are $30\%$ and $40\%$ less than a third number.

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Problem 2885

Identify the statement that is NOT TRUE about why the median is preferred over the mean:
1. It is more useful in inferential statistics.
2. It is the average score.
3. It is more accurate in skewed distributions.
4. It is a better measure of variation.

See Solution

Problem 2886

Find the mean of these ages: 18, 18, 18, 18, 18, 19, 19, 19, 20, 22, 22, 23, 23, 23, 24, 25, 26, 26, 29, 33, 64. Round to two decimal places.

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Problem 2887

When will birds (every 9 minutes) and dancers (every 15 minutes) pop out together again in the next 60 minutes?

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Problem 2888

When will birds (every 6 min) and dancers (every 15 min) pop out together again in the next 60 min?

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Problem 2889

Calculate the mean of the IQ scores: $90,100,112,96,120,102,122,91,101,101,111,109,130,92,91,131,105,111,101,89,100,140$ . Round to a whole number.

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Problem 2890

Mr. Deluca has 30 students and needs one string-cheese stick (10 per pack) and one celery stick (15 per pack). How many packs?

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Problem 2891

Mr. Deluca has 30 students. He needs to buy packs of 10 string-cheese and 15 celery sticks. What's the minimum packs needed?

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Problem 2892

Calculate total earnings for a cell phone distributor with a salary of \$28,000 and 17.5% commission on \$38,000 in sales.

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Problem 2893

In football, if 425 players are drafted, how many will have IQs within one standard deviation of the mean (100, $\sigma = 15$ )?

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Problem 2894

Sally runs 100 meters. How many decameters is that?

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Problem 2895

If you and two friends run the New York City Marathon ( $42 \mathrm{~km}$ ), how many meters will you all run together?

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Problem 2896

A recipe needs 5 grams of butter for 12 cookies. How many decigrams for 60 cookies?

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Problem 2897

Michelle weighs 75 decagrams. What is her weight in centigrams? Convert using $1 \text{ decagram} = 100 \text{ centigrams}$ .

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Problem 2898

Cheryl drinks 4 liters daily. After 7 days, how many mL did she drink? How many days to reach 80,000 mL?

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Problem 2899

Convert a density of $1.09 \mathrm{~g} / \mathrm{mL}$ to $\mathrm{lbs} / \mathrm{qt}$ .

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Problem 2900

Convert 5,400 inches to miles using the conversion factor: 1 mile = 63,360 inches.

See Solution

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Word Problems

Problem 2801

Problem 2802

Find the next five Fibonacci terms after 144,233,377,610144, 233, 377, 610144,233,377,610 and the 14th14^{\text{th}}14th term if F8=21F_8 = 21F8​=21 and F9=34F_9 = 34F9​=34.

Problem 2803

Which expressions equal 4x4 x4x? Choose two: (A) 3x+x3 x+x3x+x, (B) 2x+22 x+22x+2, (C) 4+x4+x4+x, (D) 8x−48 x-48x−4.

Problem 2804

In a math class with a boys to girls ratio of 7:87:87:8, which statement is true? (a) Boys are 78\frac{7}{8}87​ of the class. (b) Girls are 815\frac{8}{15}158​ of the class. (c) There's 1 more girl. (d) There are 15 students total.

Problem 2805

Identify two statistical questions from the following: (A) Age of students at my school? (B) Year Mississippi became a state? (C) Dogs owned by my teacher? (D) Height of tallest mountain? (E) Favorite color of sixth graders at mmm school?

Problem 2806

Eva earns an 8% commission. Calculate her total commission from these sales: Refrigerator (2,200,4),WashingMachine(2,200, 4), Washing Machine (2,200,4),WashingMachine(1,650, 7), Clothes Dryer (1,200,7),Dishwasher(1,200, 7), Dishwasher (1,200,7),Dishwasher(450, 6).

Problem 2807

Eva earns a 5% commission. Calculate her total commission from selling 10 refrigerators at \$1,200, 6 washers at \$650, 12 dryers at \$600, and 8 dishwashers at \$450.

Problem 2808

Eva earns an 8%8\%8% commission. Calculate her total commission based on her weekly sales: 4 refrigerators at \$2,200, 7 washers at \$1,650, 7 dryers at \$1,200, and 6 dishwashers at \$450.

Problem 2809

Write an expression for the surface area of a sphere: A=4πr2A = 4\pi r^2A=4πr2. Then, find the area for a radius of 25.4 cm.

Problem 2810

Total ticket sales expression: 100n+250t100n + 250t100n+250t, where nnn is one-day passes and ttt is three-day passes sold.

Problem 2811

Find the total steps sss to reach floors 2, 3, 4, and 5 if it takes 14 steps to go from floor 0 to 1.

Problem 2812

A car traveled from 1350 to 1815. How long was the journey? After a 1121 \frac{1}{2}121​ hour break, how long did she drive?

Problem 2813

Mark Adler earns \$1,650 monthly. His new job pays \$9.80/hour with time and a half over 36 hours. How many overtime hours per week are needed to match his current weekly earnings?

Problem 2814

Compare the graphs of y=xy=xy=x, y=x+56y=x+\frac{5}{6}y=x+65​, and y=−2xy=-2xy=−2x. Answer questions about steepness and yyy-intercepts.

Problem 2815

A 1 m wire is cut into 5 parts of 150 mm each. Find the remaining length in cm.

Problem 2816

An employee earns \$9.25/hour and \$8 for every 20 transformers. Find their hourly earnings for 36 hours and 380 transformers.

Problem 2817

Johnathan picked beads 50 times. He got red 12, yellow 14, blue 24. How many blue beads in 150 picks? (A) 36 (B) 42 (C) 72 (D) 78

Problem 2818

A wire is 1 m1 \mathrm{~m}1 m long. If cut into 5 parts of 150 mm150 \mathrm{~mm}150 mm each, find the remaining length in cm\mathrm{cm}cm.

Problem 2819

Missy rode 16 miles in 1.25 hours. What is her average speed in miles per hour?

Problem 2820

Missy rode 16 miles in 1141 \frac{1}{4}141​ hours. Find her average speed in miles per hour.

Problem 2821

Order the numbers 10,070, 2,354, 3,678, 2,298, and 3,687 from least to greatest and place them in a chart.

Problem 2822

What does the point (3,7.5)(3,7.5)(3,7.5) mean in the graph showing twine usage for bundles of wood? (A) 7.5 feet for 7.5 bundles. (B) 7.5 feet for 3 bundles. (C) 3 feet for 7.5 bundles. (D) 3 feet for 3 bundles.

Problem 2823

Which sampling method should Jill use to find the most popular sport among students? (A) First 15 in cafeteria (B) Every third student (C) All sports team members (D) All gym class students.

Problem 2824

Carlos jogged 5345 \frac{3}{4}543​ laps in 8 minutes. What is his average speed in laps per minute?

Problem 2825

Christina drove 641664 \frac{1}{6}6461​ miles using 2132 \frac{1}{3}231​ gallons of gas. Find her car's fuel efficiency in miles per gallon.

Problem 2826

What place value is the underlined digit in 16 \underline{5}, 633?

Problem 2827

Mr. Gill's pump drains water at −214-2 \frac{1}{4}−241​ inches/hour. A stronger pump drains 2122 \frac{1}{2}221​ times faster. Find the rate.

Problem 2828

Find the value of 13x−34\frac{1}{3}x - \frac{3}{4}31​x−43​ for x=14x=\frac{1}{4}x=41​.

Problem 2829

How many times greater is the surface area of Seung's square pyramid block than Derek's half-sized block? (A) 2 (B) 3 (C) 4 (D) 8

Problem 2830

Caitlin paints 42 sq ft in 23\frac{2}{3}32​ hour. How many sq ft can she paint in 1 hour?

Problem 2831

Write the number 24639 in word form, expanded form, and expanded notation.

Problem 2832

Christina used 2132 \frac{1}{3}231​ gallons of gas for 641664 \frac{1}{6}6461​ miles. Find her fuel efficiency in miles per gallon.

Problem 2833

Caitlin paints 42 sq ft in 23\frac{2}{3}32​ hour. How many sq ft can she paint in 1 hour? Answer: 63 sq ft.

Problem 2834

Mr. Lopez spreads 2 cubic yards in 34\frac{3}{4}43​ hour. How many cubic yards can he spread in 1 hour?

Problem 2835

Mail carriers delivered 1,344 pieces of mail. If 16\frac{1}{6}61​ were magazines and 112\frac{1}{12}121​ were packages, how many letters were delivered?

Problem 2836

What shape do you get when a triangular prism is cut by a plane parallel to its base? (A) pentagon (B) rectangle (C) square (D) triangle

Problem 2837

Cindy mixes 191419 \frac{1}{4}1941​ grams of drink mix in 1341 \frac{3}{4}143​ ounces of water. Find grams per ounce of water.

Problem 2838

Mr. Lopez spreads 2 cubic yards in 34\frac{3}{4}43​ hour. How many cubic yards can he spread in 1 hour?

Problem 2839

Find the unit price of a 211221 \frac{1}{2}2121​-ounce cereal box that costs \$3.87 in \$ per ounce.

Problem 2840

Problem 2841

Find the next five Fibonacci terms after $144, 233, 377, 610$ and the $14^{\text{th}}$ term if $F_8 = 21$ and $F_9 = 34$ .

Which expressions equal $4 x$ ? Choose two: (A) $3 x+x$ , (B) $2 x+2$ , (C) $4+x$ , (D) $8 x-4$ .

In a math class with a boys to girls ratio of $7:8$ , which statement is true? (a) Boys are $\frac{7}{8}$ of the class. (b) Girls are $\frac{8}{15}$ of the class. (c) There's 1 more girl. (d) There are 15 students total.

Identify two statistical questions from the following: (A) Age of students at my school? (B) Year Mississippi became a state? (C) Dogs owned by my teacher? (D) Height of tallest mountain? (E) Favorite color of sixth graders at $m$ school?

Eva earns an 8% commission. Calculate her total commission from these sales: Refrigerator ( $2,200, 4), Washing Machine ($ 1,650, 7), Clothes Dryer ( $1,200, 7), Dishwasher ($ 450, 6).

Eva earns an $8\%$ commission. Calculate her total commission based on her weekly sales: 4 refrigerators at \$2,200, 7 washers at \$1,650, 7 dryers at \$1,200, and 6 dishwashers at \$450.

Write an expression for the surface area of a sphere: $A = 4\pi r^2$ . Then, find the area for a radius of 25.4 cm.

Total ticket sales expression: $100n + 250t$ , where $n$ is one-day passes and $t$ is three-day passes sold.

Find the total steps $s$ to reach floors 2, 3, 4, and 5 if it takes 14 steps to go from floor 0 to 1.

A car traveled from 1350 to 1815. How long was the journey? After a $1 \frac{1}{2}$ hour break, how long did she drive?

Compare the graphs of $y=x$ , $y=x+\frac{5}{6}$ , and $y=-2x$ . Answer questions about steepness and $y$ -intercepts.

A wire is $1 \mathrm{~m}$ long. If cut into 5 parts of $150 \mathrm{~mm}$ each, find the remaining length in $\mathrm{cm}$ .

Missy rode 16 miles in $1 \frac{1}{4}$ hours. Find her average speed in miles per hour.

What does the point $(3,7.5)$ mean in the graph showing twine usage for bundles of wood? (A) 7.5 feet for 7.5 bundles. (B) 7.5 feet for 3 bundles. (C) 3 feet for 7.5 bundles. (D) 3 feet for 3 bundles.

Carlos jogged $5 \frac{3}{4}$ laps in 8 minutes. What is his average speed in laps per minute?

Christina drove $64 \frac{1}{6}$ miles using $2 \frac{1}{3}$ gallons of gas. Find her car's fuel efficiency in miles per gallon.

Mr. Gill's pump drains water at $-2 \frac{1}{4}$ inches/hour. A stronger pump drains $2 \frac{1}{2}$ times faster. Find the rate.

Find the value of $\frac{1}{3}x - \frac{3}{4}$ for $x=\frac{1}{4}$ .

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour?

Christina used $2 \frac{1}{3}$ gallons of gas for $64 \frac{1}{6}$ miles. Find her fuel efficiency in miles per gallon.

Caitlin paints 42 sq ft in $\frac{2}{3}$ hour. How many sq ft can she paint in 1 hour? Answer: 63 sq ft.

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

Mail carriers delivered 1,344 pieces of mail. If $\frac{1}{6}$ were magazines and $\frac{1}{12}$ were packages, how many letters were delivered?

Cindy mixes $19 \frac{1}{4}$ grams of drink mix in $1 \frac{3}{4}$ ounces of water. Find grams per ounce of water.

Mr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

Find the unit price of a $21 \frac{1}{2}$ -ounce cereal box that costs \$3.87 in \$ per ounce.

What is the probability that a randomly assigned two-digit uniform number (10-99) ends in 0? Options: (A) $\frac{9}{100}$ (B) $\frac{1}{10}$ (C) $\frac{10}{99}$ (D) $\frac{1}{9}$

Angles $AXB$ and $BXC$ are supplementary. Find the measure of angle $AXB$ . Options: (A) $162^{\circ}$ (B) $146^{\circ}$ (C) $34^{\circ}$ (D) $18^{\circ}$

A bus traveled 120 miles in $2 \frac{1}{2}$ hours. What was its speed in mph? (A) $40$ (B) $45$ (C) $48$ (D) $50$

A truck used $10 \frac{2}{5}$ gallons for 65 miles. Find its fuel efficiency in miles per gallon.

A semi truck used $10 \frac{2}{5}$ gallons to travel 65 miles. Find its fuel efficiency in miles per gallon.

Find the unit price of a $21 \frac{1}{2}$ -ounce cereal box that costs \$3.87: \$ per ounce.

Zach's first quiz score is what if his last score is $30$ less than $2$ times his first, and their sum is $150$ ?

수렴하는 수열을 고르세요: ᄀ. $\left\{\frac{1}{2 n+1}\right\}$ , ㄴ. $\left\{\frac{(-1)^{n}}{n}\right\}$ , ᄃ. $\left\{(-1)^{n}+2\right\}$ .

Find the dimensions of two rectangles:
1. First rectangle: length is 18 cm more than width.
2. Second rectangle: 6 cm shorter and 3 cm wider than the first, perimeter is 126 cm.

Find the area of triangle formed by the tangent to $y=\frac{8}{4+x^{2}}$ at $x=z$ and the coordinate axes.

A conical water tank has a semi-vertical angle of $\tan^{-1} \frac{3}{4}$ . Water is added at 6 m³/hour. Find the rate of increase of the wet curved surface area (m²/hour) when the water depth is 4 m.

Rob's current age if he will be 81 in ten years is given by the equation: $x + 10 = 81$ .

Scott won 45 pieces of gum and has 23 left. How many did he give away? Use the equation: $45 - x = 23$ .

Find the prime factorization of $75$ .

Identify the correct notation for permutations among these options: $r P n$ , $P(n, r)$ , $C(n, r)$ , $\mathrm{nCr}$ .

In a library, $40\%$ of books are in English, $80\%$ of the rest are in Hindi, and 240 are in other languages. Total books?