Word Problems

Problem 2501

Convert 9.17×102 g9.17 \times 10^{2} \mathrm{~g} to kg\mathrm{kg}, reporting the answer with the correct significant figures.

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Problem 2502

Graph Grant and Pedro's stock results for Monday, given that Grant lost \$4. How would you represent this?

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Problem 2503

Andy’s model is 10 times the actual tool's size. If the tool is 0.24 meters long, how long is the model?

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Problem 2504

If 5 ounces of oil is mixed with 15 gallons of gasoline, how much oil is needed for 45 gallons?

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Problem 2505

If the ice on a pond is 0.03 m thick, how thick would it be if it were 10 times thicker?

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Problem 2506

Round 400,000 to three significant figures, using scientific notation if needed.

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Problem 2507

The model is 10 times larger than the actual tool, which is 0.24 meters long. What is the model's size in meters?

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Problem 2508

Round the number 201201 to 5 significant figures, using scientific notation if needed.

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Problem 2509

Which temperature is highest: 16F16^{\circ} \mathrm{F}, 16F-16^{\circ} \mathrm{F}, 21F-21^{\circ} \mathrm{F}, or 21F21^{\circ} \mathrm{F}?

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Problem 2510

Find the height of each block if a stack of 10 blocks is 12.3 inches tall. Height of each block = 12.310\frac{12.3}{10}.

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Problem 2511

Alejandro spent \$ 18.82 on snacks: \$ 2.80 for apples and the rest on juice bottles. Find the cost per juice bottle.

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Problem 2512

Find the minimum boxes of pencils (8 per box) and bags of erasers (12 per bag) for 24 students needing 1 each.

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Problem 2513

Carla uses 4.25 inch boards for a table at least 36 inches wide. Find the minimum number of boards needed.

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Problem 2514

Jamal's phone plan costs \$65.50/month plus \$3/GB. How many GB can he use if he wants to keep his bill at \$74.20?

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Problem 2515

Jada needs to find total tomato paste for 2 lasagnas and 5 pizzas. How many 34\frac{3}{4}-cup cans does she need?

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Problem 2516

A lacrosse team raised \$1365.75, spent \$774.50, and budgeted \$53.75 per player for meals. How many players can go?

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Problem 2517

A container weighs 107.34 g empty and 597.22 g full. What is its volume in ml?

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Problem 2518

Use multiplication to find the quotient 35÷315\frac{3}{5} \div \frac{3}{15} and calculate the result.

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Problem 2519

A group has \$ 349.50 for parking (\$ 19.50) and tickets (\$ 30 each). How many can attend the amusement park?

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Problem 2520

A chef has 8 cups of berries and uses 23\frac{2}{3} cup per dessert. How many desserts can he make?

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Problem 2521

A sandwich is $0.20 more than a salad. Six sandwiches equal seven salads in cost. Find their prices.

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Problem 2522

School A has 216 students and 12 classrooms. School B has 104 students and 4 classrooms.
A: Find the ratio of students to classrooms at School A. B: Find the ratio of students to classrooms at School B. C: How many students must transfer from School B to A for equal ratios? Explain.

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Problem 2523

Aria starts with 80 points and earns 13.5 points per visit. How many visits does she need to reach 188 points?

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Problem 2524

Let the beat length be xx. Write the inequality x>17+9x > 17 + 9. Find three possible values for xx.

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Problem 2525

Kevin works 3 times Karen's hours. If both add 6 hours, Kevin works twice as much. Find their current hours.

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Problem 2526

Calculate the cubic feet of concrete needed for a driveway that is 162 ft long, 6 ft wide, and 4 in deep.

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Problem 2527

Aaron, Betsy, and Charita work part-time at the library. If their total hours is 4545 and Betsy works 44 more than Aaron, find their hours.

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Problem 2528

Aaron, Betsy, and Charita work a total of 45 hours. If B=A+4B = A + 4 and A+B=12CA + B = \frac{1}{2}C, find AA, BB, and CC.

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Problem 2529

Find an equivalent expression for the total cost of gift cards: 14+42a14 \ell + 42 a.

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Problem 2530

11 times a number minus 6 as an expression: 11x611x - 6

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Problem 2531

Jason started with \80andadds$15monthly.Findtheexpressionforhissavingsafter80 and adds \$15 monthly. Find the expression for his savings after m$ months and calculate it for 12 months.

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Problem 2532

Aaron, Betsy, and Charita work a total of 45 h. If Betsy works 4 h more than Aaron, how many hours does each work?

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Problem 2533

In a fish tank, 67\frac{6}{7} of the fish have red stripes. If 18 fish have red stripes, how many total fish are there?

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Problem 2534

Natalie's monthly cost at Pete's Pottery Place is based on a \$9 entry fee and \$3 per bowl.
A: Write an expression for her total cost if she makes bb bowls over 5 days. B: Calculate her total cost if she makes 4 bowls each visit.

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Problem 2535

Find the volume of a solution with density 0.75 g/mL0.75 \mathrm{~g} / \mathrm{mL} and mass 164 g164 \mathrm{~g}.

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Problem 2536

A 20% price drop in sugar allows buying 2 kg more for Rs. 80. Find the new price per kg: (a) Rs. 10 (b) Rs. 8 (c) Rs. 6 (d) Rs. 7 (e) None.

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Problem 2537

Find the 2006 employment of sheet metal workers if 2016 is 201,000, a 6.3%6.3\% increase from 2006. Options: a. 214,000 b. 187,000 c. 195,000 d. 189,000

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Problem 2538

A metal object with a mass of 16.7 g16.7 \mathrm{~g} raises water from 100.0 mL100.0 \mathrm{~mL} to 106.2 mL106.2 \mathrm{~mL}. Find its density and identity.

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Problem 2539

How many police officers in 2016 must exceed the private investigators' percent increase from 52,000 to 61,000? Options: a. 657,983 b. 761,307 c. 671,128 d. 713,180

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Problem 2540

If ghee's price rises by 30%30\%, what percent must a housewife reduce her consumption to maintain her spending?

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Problem 2541

연속 함수 f(x)f(x)가 주어지고, g(x)=0xf(t)dtx4f(t)dtg(x)=\int_{0}^{x} f(t) d t-\int_{x}^{4} f(t) d tx=2x=2에서 0일 때, 124f(x)dx\int_{\frac{1}{2}}^{4} f(x) d x의 값은?

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Problem 2542

Footwear output decreased by 8.4%8.4\% from 1.8 billion in 2006. What is the expected output in 2016? A) \$1.95B B) \$2.64B C) \$1.55B D) \$1.65B

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Problem 2543

Una inmobiliaria quiere ganar un interés simple de \$580000 en 2.5 años. ¿Qué capital inicial necesita a una tasa del 4\% trimestral?

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Problem 2544

A manufacturing industry had 63.1k jobs in 2008, declining by 1.7k/year. What is the percent change by 2018? A) 70% B) -27% C) -17% D) -75%

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Problem 2545

In 2016, there are 153,000153,000 writers. 12.4%12.4\% have some college, 84.1%84.1\% have a degree. Find the difference in numbers. A, B, C, D?

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Problem 2546

Find the slope-intercept form of the line through the points: 7) (2,5)(2,5) and (0,3)(0,3) 8) (3,3)(3,3) and (0,5)(0,5).

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Problem 2547

Find the line equations for the points: 1) (5,1)(-5,-1) and (3,5)(-3,-5), 2) (3,2)(3,-2) and (0,3)(0,-3) using y=mx+by = mx + b.

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Problem 2548

Discuss the melting point trend for pentane (129C-129^{\circ} \mathrm{C}), diethyl ether (116C-116^{\circ} \mathrm{C}), and 1-butanol (90C-90^{\circ} \mathrm{C}).

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Problem 2549

What are structural isomers? Give condensed structural formulas for two more isomers of C4H10O\mathrm{C}_{4} \mathrm{H}_{10} \mathrm{O}.

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Problem 2550

Evaluate the risk and return for assets V (8%, 5%) and W (13%, 10%) under three correlation scenarios: +1, 0, -1.

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Problem 2551

What is the product of cyclohexene with Br2\mathrm{Br}_{2}? Identify the reaction type: substitution, addition, or elimination? Compare with phenol and Br2\mathrm{Br}_{2}.

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Problem 2552

What is 28%28\% of 2525?

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Problem 2553

Convert 0.0019 to scientific notation.

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Problem 2554

Copy angle ABC onto ray DE to create angle FDE. Draw ray DF, then use compass to create points J and F.

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Problem 2555

What percent is 36 of 90? Calculate: 3690×100\frac{36}{90} \times 100.

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Problem 2556

Joe climbs a ladder, reaching 3.2 ft up and 2.4 ft out. Which equation finds his climb? Options: 3.2+2.4=c3.2+2.4=c a2+2.42=3.22a^{2}+2.4^{2}=3.2^{2} 3.22+2.42=c23.2^{2}+2.4^{2}=c^{2} 3.22+b2=2.423.2^{2}+b^{2}=2.4^{2}

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Problem 2557

What are the steps to bisect line segment AB\mathrm{AB} using a compass and straightedge?

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Problem 2558

6.48 is 80% of which number? Find the value of xx in the equation 6.48=0.8x6.48 = 0.8x.

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Problem 2559

How many solar panels are needed to heat a pool (50m x 25m) if each panel produces 265 watts and 50 watts/m² is required?

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Problem 2560

How many pitchers of lemonade does Molly need to fill 16 large glasses and 12 small glasses without leftovers?

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Problem 2561

Which of these is a statistical question? A. Lunch period length? B. Oldest student age? C. Classrooms count? D. Ages of classmates?

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Problem 2562

Find the interquartile range of the data set: 10,3,7,6,9,12,1310, 3, 7, 6, 9, 12, 13.

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Problem 2563

Find the mean and median of Mike's contributions: \$50, \$80, \$60, \$50, and \$90.

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Problem 2564

Which expression equals 11y511 y-5? Choose Yes or No for each option: A. 18(88y40)\frac{1}{8}(88 y-40) B. 12(22y10)\frac{1}{2}(22 y-10) C. 3(33y15)3(33 y-15) D. 511y5-11 y

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Problem 2565

Calculate the mileage of a car that travels 576 miles using 18 gallons of gas using the formula mg\frac{m}{g}.

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Problem 2566

Which equation is equivalent to 2x+2=142x + 2 = 14?

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Problem 2567

What percentage of species are insects if 4 out of every 5 species are insects? Calculate: %\%

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Problem 2568

What is the place value of 4 in the number 814,592?

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Problem 2569

Jane dives down 5 feet then 3 feet. Sarah dives down 3 feet then 5 feet. Model 5+(3)=3+(5)-5+(-3)=-3+(-5) on a number line.

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Problem 2570

Jane dives down 5 feet then 3 more; Sarah dives down 3 feet then 5 more.
a. Model 5+(3)=3+(5)-5 + (-3) = -3 + (-5) on a number line. b. Does the order of adding two integers with the same sign change the sum? Explain.

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Problem 2571

A football team loses 3 yards and then 6 yards. Write the sum of negative integers and find the total loss.

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Problem 2572

Classify these mixtures as homogeneous or heterogeneous: food coloring in water, tea with sugar, sand and gravel, mixed nuts.

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Problem 2573

Henry's bag of soil is 34\frac{3}{4} full. If he uses 116\frac{1}{16} of a bag per pot, how many pots can he fill?

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Problem 2574

At 1:00, both towns had the same temperature. By 3:00, Jonestown's temp dropped 18 degrees and Cooperville's dropped 8 degrees. a. Model Jonestown's temp change with an equation. b. Model Cooperville's temp change with an equation. c. Which town was colder at 3:00?

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Problem 2575

What is the best definition of an angle?

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Problem 2576

Find two whole numbers nn and mm such that n2<31<m2n^2 < 31 < m^2. What are these numbers?

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Problem 2577

Find the range where 31\sqrt{31} lies, rounded to one decimal place.

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Problem 2578

Estimate 31\sqrt{31} to two decimal places; it lies between \square and \square.

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Problem 2579

What price should Suresafe expect to sell a \$1,000 bond with 10% interest and 3 years to maturity if the return is 14%?

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Problem 2580

The hospital sector got 23.π%23 . \pi \% of a \$2.7 billion bill. How much is that in whole numbers and appropriate terms?

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Problem 2581

Calculate the hospital sector's share of a \$2.7 billion bill, given it received 23.17\%. Round to the nearest whole number.

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Problem 2582

The hospital sector got 33.17%33.17\% of a $2.7\$ 2.7 billion bill. How much is that rounded to the nearest whole number in millions?

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Problem 2583

Find the average rate of change of h(t)=cotth(t)=\cot t over the intervals: a. [3π4,5π4]\left[\frac{3 \pi}{4}, \frac{5 \pi}{4}\right] b. [5π6,3π2]\left[\frac{5 \pi}{6}, \frac{3 \pi}{2}\right]

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Problem 2584

Convert -0.003107 to scientific notation.

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Problem 2585

List the symbols of chemical elements with atomic number < 74 and atomic mass > 174.0u174.0 \mathrm{u}.

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Problem 2586

What percentage of the \$ 2.7 billion spending bill is \$ 118.10 million for public transportation? Round to one decimal place.

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Problem 2587

How many dozen packs are in 255 balloons? (1 pack = 255 balloons)

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Problem 2588

A factory makes 2275 watches weekly. How many watches does it produce in 3 days? [2 marks]

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Problem 2589

Count the hydrogen atoms in the equation: 6CO2(g)+6H2O(l)C6H12O6(s)+6O2(g)6 \mathrm{CO}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(s)+6 \mathrm{O}_{2}(g).

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Problem 2590

David bought 4 shirts at \$253 each and 3 ties at \$78 each. What is his total spending?

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Problem 2591

How many protons and electrons are in a neutral gold atom (Au\mathrm{Au})? Protons == Electrons ==

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Problem 2592

Find the number of protons and neutrons in the atom of 179Hf^{179} \mathrm{Hf}. Protons = ?, Neutrons = ?

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Problem 2593

A bag costs 4 times a dress. If the bag costs \$276, how much does Anna spend on the bag and 3 dresses?

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Problem 2594

A college spent 17.30% of its funds on laptops, totaling \$132,000. How much did it receive from the bill? Round to the nearest whole number.

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Problem 2595

Find the density of object A with dimensions 6.0 cm x 3.0 cm x 1.0 cm and mass 36 g. Options: 2 g/ml2 \mathrm{~g/ml}, 18 g/ml18 \mathrm{~g/ml}, 36 g/ml36 \mathrm{~g/ml}, 4 g/ml4 \mathrm{~g/ml}.

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Problem 2596

Find the density of an object using water displacement: initial level 25.0 ml, final 29.0 ml, mass 8.51 g.

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Problem 2597

Determine which client has the lowest cardiac risk by calculating total cholesterol divided by HDL for each client.

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Problem 2598

Find the client with the lowest cardiac risk by calculating total cholesterol divided by HDL. Client A: Total cholesterol 224 mg/dL, HDL 38 mg/dL.

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Problem 2599

What will your new monthly salary be after a 6.5%6.5\% cut from your current salary of \$$6,875$?

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Problem 2600

Find the volume (in mL) of a 0.3400 kg solid with a density of 10.74 g/mL. Round to 2 decimal places.

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