Ratios & Proportions

Problem 601

An 8-kilogram bag of onions costs $10.96\$ 10.96. What is the unit price? \ \square$ per kilogram Submit

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Problem 602

A 3-pack of frozen burritos costs $3.87\$ 3.87. What is the unit price? \ \square$ per burrito Submit

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Problem 603

A 5 -meter roll of fabric costs $11.80\$ 11.80. What is the unit price? \ \square$ per meter Submit

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Problem 604

Read the story. Jon's scout troop went fishing yesterday. The scouts caught 2 bluegills for every 5 sunfish.
Pick the diagram that models the ratio in the story. \square
If the scouts caught 25 sunfish, how many bluegills did they catch? \square bluegills

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Problem 605

Read the story. answered
Wayne created a dried fruit mix to use on his cereal this week. He used 7 spoonfuls 4 of raisins for every 3 spoonfuls of dried cherries. SmartScore out of 1000
Pick the diagram that models the ratio in the story. \square 58 \begin{tabular}{|l|l|l|l|l|} \hline raisins & & & & \\ \hline \end{tabular}
If Wayne used 14 spoonfuls of raisins, how many spoonfuls of dried cherries did he use? \square spoonfuls Submit Search

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Problem 606

Read the story. answered
Jennifer is making friendship bracelets. She makes 4 with neon colors for every 3 she makes with pastel colors. 5 SmartScor out of 100
Pick the diagram that models the ratio in the story. 66
If Jennifer made 16 bracelets with neon colors, how many did she make with pastel colors? \square bracelets Submit

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Problem 607

Read the story. answered
Omar and Elsa are lions living at the Middleton Zoo. Omar weighs 3 pounds for every 9
2 pounds Elsa weighs. SmartScore out of 100
Pick the diagram that models the ratio in the story. 79
If Omar weighs 420 pounds, how much does Elsa weigh? \square pounds Submit Work it out Not feeling ready yet? These can help:

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Problem 608

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5 . If there were 11,016 total votes, how many yes votes were there? \square yes votes

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Problem 609

Convert the value for R,0.0827 L atm1 mol1 K1\mathrm{R}, 0.0827 \mathrm{~L} \mathrm{~atm}^{-1} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}, to one that has units of calmol1 K1\mathrm{cal} \mathrm{mol}^{-1} \mathrm{~K}^{-1}. ROUND ANSWER TO 2 DECIMAL PLACES. DO NOT INCLUDE UNITS. 1 L atm=101.325 J1caI=4.184 J\begin{array}{l} 1 \mathrm{~L} \mathrm{~atm}=101.325 \mathrm{~J} \\ 1 \mathrm{caI}=4.184 \mathrm{~J} \end{array}

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Problem 610

Find the density of an object with mass 60 grams and volume 2 cm32 \mathrm{~cm}^{3}.

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Problem 611

Faith weighs 100 pounds. A mineral has a mass of 24 g24 \mathrm{~g} and volume of 6 cm36 \mathrm{~cm}^{3}. Find its density.

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Problem 612

Find the density of a gold brick with volume 16.51 cm316.51 \mathrm{~cm}^3 and mass 318.97 grams.

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Problem 613

Calculate the fans per employee at Madison Square Garden in 2021, given 8,900 employees and 19,812 seats. Round to the nearest tenth.

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Problem 614

How many snow cones can Jayden make with 5 pounds of ice if 0.5 pound makes 3 snow cones?

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Problem 615

What is the concentration of a solution made by dissolving 180.0 g180.0 \mathrm{~g} of aluminum hydroxide in 1.50 L1.50 \mathrm{~L} of water?

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Problem 616

Adrian decorates 16 cupcakes in 28 minutes. How long for 56 cupcakes at the same rate?

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Problem 617

How many quarts of butter weigh 200 pounds if 1 quart is 32 ounces?

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Problem 618

What distance (in feet) do you travel at 65mi/h65 \mathrm{mi/h} if you look away for a moment?

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Problem 619

Find the thickness of each penny if 12 pennies stack to 18.24 mm. Also, calculate the height of 20 pennies.

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Problem 620

A stack of 12 pennies is 18.24 mm high. Find the thickness of one penny and the height of a stack of 20 pennies.

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Problem 621

Ed runs 3.2 miles in 18 minutes. What is his speed in meters per second? Use 1 mile=1609.34 meters1 \text{ mile} = 1609.34 \text{ meters}.

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Problem 622

A patient with a temperature of 101°F needs Tylenol 650 mg. Should the nurse give 2 or 3 tablets of 325 mg?

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Problem 623

Find the rates and unit rates for the following: a. 420 miles in 7 hours b. 360 customers in 30 days c. 40 meters in 16 seconds d. \$ 7.96 for 5 pounds

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Problem 624

Find three equivalent ratios for 18:418: 4 and the cost of \$7.96 for 5 pounds.

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Problem 625

Find three equivalent ratios for the ratio of right-handed to left-handed students, 18:418:4.

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Problem 626

Find the ratios of homework papers to exit tickets for Mr. Rowley (1614\frac{16}{14}) and Ms. Rivera (6460\frac{64}{60}). Are they equivalent?

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Problem 627

A car travels at 60 mph from Montgomery to Centreville (70 miles). How long will the trip take in hours and minutes?

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Problem 628

Devon has a 6-pack of drinks for \$2.99. Is the price per drink over \$2.00? Calculate to check.

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Problem 629

Find Ryan's average test score by calculating 85+92+88+984\frac{85 + 92 + 88 + 98}{4}.

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Problem 630

Ane sells raffle tickets: \$18 for 15 tickets. Find costs for 5, 10, and 15 tickets.

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Problem 631

1) Express the ratio 2 to 5 in two different forms. 2) In a bar diagram with 16 sections, 6 are shaded. What fractions represent the shaded part? Choices: 38\frac{3}{8}, 616\frac{6}{16}.

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Problem 632

Find the density of a sample with mass 12.50 g12.50 \mathrm{~g} that raised water from 13.40ml13.40 \mathrm{ml} to 17.57ml17.57 \mathrm{ml}.

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Problem 633

If there are 30 peanut butter cookies and each box has 6, how many chocolate chip cookies are in the boxes bought?

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Problem 634

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 635

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 636

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 637

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 638

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 639

Simplify the unit 7.3gcmcm2cm27.3 \frac{\mathrm{g} \cdot \mathrm{cm}}{\mathrm{cm}^{2} \cdot \mathrm{cm}^{2}} to its simplest form.

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Problem 640

Find the density in g/mL\mathrm{g} / \mathrm{mL} of 50mg50 \mathrm{mg} gas in a volume of 0.0064L0.0064 \mathrm{L}.

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Problem 641

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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Problem 642

Complete the following sentence with a power of 10 greater than 1 A terajoule is \qquad times as large as a picojoule. (i) Click on the icon to view the common metric prefixes.

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Problem 643

Two countries have populations of about 11.3 million and 689,000 , respectively. Their areas are 8744 and 619,771 square miles, respectively. Compute the population densities of the two countries
The population density of the first country is \square people per square mile. (Type an integer or decimal rounded to the nearest tenth as needed.)

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Problem 644

If the cost to mail a letter is 48 cents for mail weighing up to one ounce and 29 cents for each additional ounce or fraction of an ounce, find the cost of mailing a letter that weighs 92 grams.
The cost to mail the letter is $\$ \square (Type an integer or a decimal.)

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Problem 645

Bookwork code. 1E Calculator allowed
7 friends each bought one ticket to go to the theatre. Each ticket cost the same amount and the total cost was £112£ 112.
How much did each ticket cost? Give your answer in pounds ( ££ ). Watch video

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Problem 646

Gaseous ethane (CH3CH3)\left(\mathrm{CH}_{3} \mathrm{CH}_{3}\right) will react with gaseous oxygen (O2)\left(\mathrm{O}_{2}\right) to produce gaseous carbon dioxide (CO2)\left(\mathrm{CO}_{2}\right) and gaseous water (H2O)\left(\mathrm{H}_{2} \mathrm{O}\right). Suppose 21. g of ethane is mixed with 124. g of oxygen. Calculate the minimum mass of ethane that could be left over by the chemical reaction. Be sure your answer has the correct number of significant digits. \square g

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Problem 647

How many groups of 20 are in 80 ? Record that in the quotient, multiply, and subtract. Multiply on paper if you need to. (4)

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Problem 648

Question 7 5 pts
Solve. 7) Timothy has 41/541 / 5 yards of fabric. It takes 3/53 / 5 of a yard to make a tie. How many ties can he make from the fabric? 7 ties 6 ties 10 ties 8 ties

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Problem 649

1. List three division equations this could represent.

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Problem 650

Find the unit price for a 12.3-ounce package costing \$2.74 and a 30.6-ounce package costing \$7.48. Which is cheaper?

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Problem 651

Convert the following measurements: 45 miles to km, 63 cm to inches, 4 qt to mL, and 95 years to seconds.

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Problem 652

Calculate the ratio of the value of 7 in Z,892Z,892 to 7 in 34,206, and 7 in 5,073 to 7 in 18,749.

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Problem 653

How many ounces of coffee can you buy for \$1 if 1 pound costs \$10? Round to the nearest hundredth.

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Problem 654

How many ounces of rice flour can you buy for \$2.10 if it costs \$8 per pound?

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Problem 655

Find how many times larger the 7 in 5,0735,0\underline{7}3 is than the 7 in 18,74918,749.

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Problem 656

Find the unit rate for 44 points in 4 quarters. What is it? =444= \frac{44}{4}

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Problem 657

Show that the ratio 5:6 is equivalent to the ratio 35:42.

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Problem 658

Solve 17÷3517 \div \frac{3}{5} using a pattern.

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Problem 659

Express the following ratios as simplified fractions: 1) 169 to 2288 2) 22 to 132 3) 143 to 1183

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Problem 660

Calculate the density of a 2.0 cm³ substance with a mass of 3.2 grams. Answer in grams/cm³.

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Problem 661

For 4 cups of flour, how many cups of sugar (x) are needed if 8 cups of flour mix with 16 cups of sugar? Find xx.

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Problem 662

How many ounces are in two pounds of ice cream, given 1 pound = 16 ounces?

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Problem 663

How long to drain a pond with 14,274 gallons at 78 gallons/hour? Use t=14,27478t = \frac{14,274}{78}.

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Problem 664

The Sanchez family needs to calculate the total cost for 2 adult lift tickets, 3 children lift tickets, 2 ski rentals, and hot chocolate for 5 people. Use the costs: adult ticket \$42, child ticket \$34, ski rental \$32, and hot chocolate (16 oz) \$4.

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Problem 665

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

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Problem 666

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

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Problem 667

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

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Problem 668

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

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Problem 669

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

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Problem 670

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

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Problem 671

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

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Problem 672

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

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Problem 673

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

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Problem 674

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

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Problem 675

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

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Problem 676

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 677

A bus traveled 120 miles in 2122 \frac{1}{2} hours. What was its speed in mph? (A) 4040 (B) 4545 (C) 4848 (D) 5050

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Problem 678

A truck used 102510 \frac{2}{5} gallons for 65 miles. Find its fuel efficiency in miles per gallon.

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Problem 679

A semi truck used 102510 \frac{2}{5} gallons to travel 65 miles. Find its fuel efficiency in miles per gallon.

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Problem 680

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

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Problem 681

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

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Problem 682

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

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Problem 683

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 684

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 685

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 686

Sally runs 100 meters. How many decameters is that?

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Problem 687

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

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Problem 688

Convert a density of 1.09 g/mL1.09 \mathrm{~g} / \mathrm{mL} to lbs/qt\mathrm{lbs} / \mathrm{qt}.

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Problem 689

Convert a density of 1.09 g/mL1.09 \mathrm{~g} / \mathrm{mL} to lbs/qt\mathrm{lbs} / \mathrm{qt}.

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Problem 690

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

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Problem 691

Convert 54 yards to centimeters.

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Problem 692

For 15 people eating 4 slices each, how much will 12-slice pizzas at \$14.78 cost? Do you have enough with \$70?

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Problem 693

Julla saw that 14\frac{1}{4} of 8 tables are blue. How many tables are red?

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Problem 694

A child weighs 40.0 lb and needs 0.10 mg/kg of antibiotic. How much will they receive? (1 kg = 2.2 lbs)

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Problem 695

Convert a bicycle speed of 6 m/s6 \mathrm{~m/s} to km/h\mathrm{km/h}. (Use 1 km=1000 m1 \mathrm{~km}=1000 \mathrm{~m})

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Problem 696

A car gets 27 mpg. If gas is \$4.04/gallon, how much to drive 2,727 miles? A. \$44.44 B. \$109.08 C. \$118.80 D. \$408.04

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Problem 697

What is the probability of selecting a charity not numbered as a multiple of 12 from 1 to 80? Provide the answer as a reduced fraction.

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Problem 698

access the section in your eText. The barometric pressure in Madison, Wisconsin (elevation 873 ft or 226 m ), averages about 29.2 inHg .
Convert this pressure to psi Express your answer in pounds per square inches to three significant figures.

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Problem 699

3. Calculate the per unit price of the following items: (round to 4 decimals) a. Granola Bars - 18 bars for \4.94(cents/bar)b.PeanutButter40ouncejarfor4.94 (cents/bar) b. Peanut Butter - 40 ounce jar for \6.97 6.97 (cents/ounce) c. Copy Paper - 750 sheets for $7.84\$ 7.84 (cents/sheet) d. Toilet Paper - 24 rolls for \$21.84 (cents/roll)

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Problem 700

Compare the following pair of numbers AA and BB in three ways. a. Find the ratio of AA to BB. b. Find the ratio of BB to AA. c. Complete the sentence: AA is \qquad percent of BB. A=8A=8 and B=2B=2 a. The ratio of AA to BB is \square (Type an integer or a simplified fraction.)

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