Ratios & Proportions

Problem 401

Tatiana compró manzanas a \$3500 la libra. ¿Cuántas libras puede comprar con \$24.500?

See Solution

Problem 402

Tatiana compró manzanas a \$3500 la libra. ¿Cuántas libras puede comprar con \$24,500?

See Solution

Problem 403

Encuentra el máximo número de estudiantes por fila si hay 72 niños y 90 nikas, usando solo uno por fila.

See Solution

Problem 404

Find the exchange rate for HKD 2000 to CNY 1580 and how much CNY for HKD 1200. Also, calculate words typed by Amy in 8 mins and time for an article.

See Solution

Problem 405

Mark exchanged HKD 2000 for CNY 1580. Find the exchange rate in CNY/HKD and how much CNY for HKD 1200?

See Solution

Problem 406

Mark exchanged HKD 2000 for CNY 1580. Find the exchange rate CNY/HKD and CNY for HKD 1200.

See Solution

Problem 407

Amy types 72 words/min. How many words in 8 min? Time to type 1800 words? Use $W = R \times T$ .

See Solution

Problem 408

Mike and Hugo share money in a $3:5$ ratio. If Mike gets \$18, find the total amount.

See Solution

Problem 409

A $60 \mathrm{~cm}$ string is split in a $2:3$ ratio. What is the length of the longer part?

See Solution

Problem 410

How many times greater was Tyler's $3 \frac{3}{4}$ miles run compared to Priya's $1 \frac{1}{2}$ miles?

See Solution

Problem 411

Which expressions equal the quotient of $8 \div 1 \frac{4}{5}$ ? Choose all that apply: A. $\frac{1}{8} \cdot 1 \frac{4}{5}$ , B. $40 \div 9$ , C. $8 \cdot \frac{5}{9}$ , D. $8 \cdot \frac{9}{4}$ , E. $8 \div \frac{9}{5}$ , F. $8 \cdot \frac{9}{5}$ .

See Solution

Problem 412

8 or 10
Kate's new juicer is able to squeeze $\frac{3}{4}$ of a cup of orange juice from $\frac{1}{12}$ of a bag of oranges. Compute the unit rate of cups per bag of oranges.
A 3 cups per bag
B 6 cups per bag
C 9 cups per bag
D 12 cups per bag

See Solution

Problem 413

) 选 A Solve for $u$ in the proportion. $\begin{array}{l} \frac{12}{9.6}=\frac{u}{3.2} \\ u=\square \end{array}$
Submit

See Solution

Problem 414

玟 Solve for $n$ in the proportion. $\begin{array}{l} \frac{20}{n}=\frac{17}{15.3} \\ n=\square \end{array}$ $\square$ Submit

See Solution

Problem 415

Your answer is incorrect.
This is the chemical formula for acetic acid (the chemical that gives the sharp taste to vinegar): $\mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{H}$
An analytical chemist has determined by measurements that there are 35 . moles of carbon in a sample of acetic acid. How many moles of hydrogen are in the sample?
Round your answer to 2 significant digits. $\square$ mol

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Problem 416

Which proportion could you use to convert 8 quarts to gallons? $\frac{4 \text { quarts }}{1 \text { gallon }}=\frac{8 \text { quarts }}{? \text { gallons }}$ $\frac{2 \text { quarts }}{1 \text { gallon }}=\frac{8 \text { quarts }}{? \text { gallons }}$
Convert. 8 quarts = $\square$ gallons

See Solution

Problem 417

3. In one year, a colony of bees produces 0.4 kg of honey for every 2500 bees.
A small bee colony has approximately 20000 bees.
How much honey can the bee colony produce in one year?

See Solution

Problem 418

Determine whether the two pairs of numbers are proportional. 6,7 and 60,70
Are the number pairs proportional? No Yes

See Solution

Problem 419

How much will a person pay for 2.3 pounds of bananas at a price of $\$ 1.23$ per pound?
The price the person will pay is $\square$ dollars. (Round to the nearest cent.)

See Solution

Problem 420

If your car gets 27 miles per gallon, how much does it cost to drive 350 miles when gasoline costs $\$ 2.50$ per gallon?
The cost is $\$$ $\square$ (Simplify your answer. Round to the nearest cent as needed.)

See Solution

Problem 421

Problem 7 A rock with a mass of 540 g in air is found to have an apparent mass of 342 g when submerged in water. (a) What mass of water is displaced? (b) What is the volume of the rock? (c) What is its average density? Is this consistent with the value for granite?

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Problem 422

Se van a fraccionar tres terrenos de $540 \mathrm{~m}^{2}, 720 \mathrm{~m}^{2}$ y $900 \mathrm{~m}^{2}$ respectivamente en lotes iguales y se desea que el área de cada lote sea el mayor posible. ¿Cuántos metros cuadrados debe medir cada lote? y ¿Cuántos lotes son en total?

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Problem 423

Solving a word problem on p
Donna made $\$ 144$ for 12 hours of work. At the same rate, how much would she make for 8 hours of work? \ $【I$ \square$ Explanation Check

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Problem 424

3.2. No corpo humano, os átomos de oxigénio estão maioritariamente ligados a átomos de hidrogén formando moléculas de água, $\mathrm{H}_{2} \mathrm{O}$ . Se todos os átomos de oxigénio existentes em 46 kg desse elemento estivessem ligados a átomos de hidrogénio $(H)$ , formando água, teriam de existir, no mínimo: (A) $1,4 \mathrm{~kg}$ de hidrogénio. (C) $2,9 \mathrm{~kg}$ de hidrogénio. (B) $5,8 \mathrm{~kg}$ de hidrogénio. (D) $15,3 \mathrm{~kg}$ de hidrogénio.

See Solution

Problem 425

Which paint costs the most per quart? Glide Paint: 1 gallon for $\$ 28.92$ Smooth Paint: 3 quarts for $\$ 22.75$ One-Coat Paint: 4 pints for $\$ 15.00$ Smooth Paint One-Coat Paint Glide Paint

See Solution

Problem 426

Problem 3: There are 12 books on the top shelf of a book shelf. That is $\frac{1}{6}$ of the total number of books on the bookshelf. How many books are there on the bookshelf? Show or explain your reasoning.

See Solution

Problem 427

A house painter has $\$ 8,000$ to buy paint. If each can of paint costs $\$ 8$ , how many cans of paint can the painter buy? $\square$ cans Submit Work it out Not feeling ready yet? These can heln.

See Solution

Problem 428

b. Jennie makes quilts. She can make 7 quilts with 21 yards of material How many yards of material would be required to make 12 quilts? Show your work and label your answer.

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Problem 429

\begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{Simple US Conversions} \\ \hline \multicolumn{2}{|l|}{Convert the US measurements as indicated. Round your results to two decimal places as needed.} \\ \hline 5 cups $=$ & ounces \\ \hline 50 days $=$ & weeks \\ \hline 22 feet $=$ & yards \\ \hline 2.4 miles $=$ & feet \\ \hline \end{tabular}

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Problem 430

Simple Metric Conversions Use the metric conversion table to convert the metric measurements as indicated. Do not round your results. $\begin{array}{l} 32.29 \mathrm{~mm}=\square \mathrm{cm} \\ 2.49 \mathrm{~L}=\square \mathrm{mL} \\ 1820 \mathrm{~g}=\square \mathrm{kg} \end{array}$ $0.842 \mathrm{~km}=$ $\square$ cm

See Solution

Problem 431

- A unit rate relates a quantity to 1 .
Unit rates can be used to compare two rates. Any rate is equivalent to its unit rate. A unit rate always relates quantities with the same units.

See Solution

Problem 432

Write a unit rate for the situation. 2520 kilobytes in 18 seconds $\square$ kilobytes per second

See Solution

Problem 433

If $A: B=3: 4$ , $B: C=5: 6$ , and $C: D=7: 8$ , find $A: D$ . Options: (a) $11: 37$ , (b) $16: 37$ , (d) None.

See Solution

Problem 434

If $A: B=6: 7$ and $B: C=8: 9$ , find the ratio $A: C$ . Choose from the options: (a) $1.3: 21$ , (b) $17: 21$ , (c) $16: 21$ , (d) $19: 21$ , (e) None.

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Problem 435

Simplify the ratio $18: 45: 24$ .

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Problem 436

Find the ratio $a : b : c$ given $a : b = 10 : 7$ and $a : c = 15 : 13$ .

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Problem 437

Las cinco novenas partes de una ruta son asfaltadas y quedan $240 \mathrm{~km}$ sin asfaltar. ¿Cuál es la longitud total de la ruta?

See Solution

Problem 438

What is the scale of a model car if the real car is $4.2 \mathrm{~m}$ and the model is $7 \mathrm{~cm}$ ? (Format: $1:n$ )

See Solution

Problem 439

If 3 loaves feed 9 people, how many people can 9 loaves feed?

See Solution

Problem 440

What was Roger's average speed if he drove 188 miles in 4 hours?

See Solution

Problem 441

A tank is $\frac{2}{3}$ full with 2400 litres. Is the tank's capacity 3600 litres? Calculate and verify.

See Solution

Problem 442

Find Sharon's average speed if she drove 140 miles in 4 hours. Use the formula: speed = distance/time.

See Solution

Problem 443

A water tank is $\frac{2}{3}$ full (2400 Litres). Is Peter correct that its capacity is 3600 Litres? Find water when half-full.

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Problem 444

Calculate $\frac{4 \times 10^{9}}{2 \times 10^{-6}}$ .

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Problem 445

A tank is $\frac{2}{3}$ full with 2400 litres. Is Peter correct that the tank's capacity is 3600 litres? Find the litres needed to fill it.

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Problem 446

Jasmine drinks 2 pints/day, Brenda 3 pints/day. Find their cup equivalents and compare ratios. Each square is $8 \mathrm{~mm}$ .

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Problem 447

What was Sharon's average speed if she drove 140 miles in 4 hours? Options: $30 \mathrm{mph}$ , $35 \mathrm{mph}$ , $136 \mathrm{mph}$ , $560 \mathrm{mph}$ .

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Problem 448

The ratio of boys to girls is 6:5. After 4 boys and 5 girls leave, the ratio becomes 4:3. Find the original number of girls.

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Problem 449

Candy and Carol got \ $150 and \$250. (a) Find the ratio of Candy's amount to Carol's. (b) If Carol gives \$x to Candy, the ratio is 2:3. Find$ x$.

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Problem 450

A company sells $300 \mathrm{~m}$ rolls for \R 375,00 and $200 \mathrm{~m}$ rolls for \R 275,00. Find cost per metre for each.

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Problem 451

Calculate the total COVID-19 cases in South Africa in 2020, given 9.1 cases per 100,000 people and a population of 39 million. Show all work.

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Problem 452

Calculate $3 \div \frac{1}{3} + 1$ .

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Problem 453

Jackson traveled 3630 miles in 60 days. What is his average daily mileage? Calculate using $\frac{3630}{60}$ .

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Problem 454

В самолета с 210 пътници, мъжете са: $x$ , където $x$ е отнасянето $6: 7$ спрямо жените. Намерете $x$ .

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Problem 455

An aircraft flies 1855 miles at 530 mph, using fuel at 21 lbs/min. How much fuel is used in kg? (Use $2.2 \mathrm{lbs}=1 \mathrm{~kg}$ )

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Problem 456

An aircraft uses $260 \mathrm{lbs}$ of fuel in 2.75 hours. What is the fuel consumption rate per hour?

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Problem 457

An aircraft consumes 260 lbs of fuel in 2 hours 45 minutes. Find the fuel consumption rate in lbs per hour.

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Problem 458

How long to travel 46 miles at an average speed of $24 \mathrm{mph}$ ?

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Problem 459

An aircraft with $5400 \mathrm{lbs}$ of fuel used $3400 \mathrm{lbs}$ after 180 miles. Find the average fuel consumption rate.

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Problem 460

A blue whale swims 0.5 miles in 1 minute. How far does it swim in 5 minutes? Use $\frac{2.5 \text{ miles}}{5 \text{ minutes}}$ .

See Solution

Problem 461

Berechne die Wassermenge für 2dl Orangensaftkonzentrat, wenn auf 4dl Wasser 8cl Orangensaftkonzentrat kommen.

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Problem 462

How many ounces of rolled oats can you buy for \$2.15 if 1 pound costs \$4?

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Problem 463

An aircraft flies 1855 miles at 530 mph, using fuel at 21 lbs/min. How much fuel is used in kg?

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Problem 464

An aircraft flies 240 miles, starting with $3000 \mathrm{lbs}$ of fuel and ending with $1080 \mathrm{lbs}$ . Find the average fuel consumption per mile.

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Problem 465

An aircraft with 5400 lbs of fuel uses $3400 \mathrm{lbs}$ after 180 miles. Find the average fuel consumption rate.

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Problem 466

Convert 120 inches to feet. How many feet is that? Use the conversion $1 \text{ foot} = 12 \text{ inches}$ .

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Problem 467

Lynne feeds her cat $65 \mathrm{~g}$ daily. How many ounces will she feed in 5 weeks? Use $10 z=28.3 \mathrm{~g}$ .

See Solution

Problem 468

What factors convert $4 \mathrm{~km} / \mathrm{min}$ to meters per hour?

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Problem 469

Convert 150 feet to yards. How many yards is that?

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Problem 470

Solve for $x$ in the equation: $\frac{69}{100}=\frac{x}{750}$ .

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Problem 471

What factors convert $18 \mathrm{~cm/s}$ to meters per minute? Choose correct options: 1) $\frac{1 \mathrm{~m}}{100 \mathrm{~cm}}$ 2) $\frac{60 \mathrm{~s}}{1 \mathrm{~min}}$

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Problem 472

How long does it take the Baxter boys to prepare 131 newspapers at a rate of 25 in 3 minutes?

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Problem 473

Find the ratios of 20 Dalmatians, 10 German Shepherds, 3 Great Danes, 2 Saint Bernards, and 1 Collie as fractions in lowest terms.

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Problem 474

Johnathan gets $2500 \mathrm{~kg}$ of sand daily. How many tons does he receive in 4 weeks?

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Problem 475

Calculate the area covered per hour, rounding to the nearest hundredth, if 85 acres were covered in 7.5 hours.

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Problem 476

In 1 Liter Sirup sind 200g Zucker. Wie viel Zucker ist in einem 4dl-Glas bei 1 Teil Sirup und 4 Teilen Wasser?

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Problem 477

Is it better to express a 5K race as 5 kilometers or $5 \times 10^{6}$ millimeters? Justify your answer.

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Problem 478

Isabella's money is in a $3:11$ ratio with Shane's. If Isabella has \$33, find their total money together.

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Problem 479

Toby uses 3 cups of milk for 4 batches of pancakes. How many cups are needed for 1 batch? Answer: $\frac{3}{4}$ cups.

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Problem 480

Who has bluer purple paint: Hudson (6 cups blue, 1 cup red) or Gianna (3 cups blue, 1 cup red)?

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Problem 481

Find an equivalent ratio of apples to bananas given the ratio of 15:60.

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Problem 482

Compare the values of the underlined digits:
1. In $6,300$ , the value of 3 is times the value of 3 in $530$ .
2. In $34,258$ , the value of 4 is times the value of 4 in $47,163$ .

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Problem 483

A panda eats $30 \mathrm{~kg}$ of bamboo daily. How many pounds does it eat in 6 weeks? Use $1 \mathrm{~kg} \approx 2.2 \mathrm{lb}$ .

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Problem 484

What factors convert $12 \mathrm{~m/s}$ to kilometers per minute? Choose correct options from:
- $\frac{1 \mathrm{~km}}{1000 \mathrm{~m}}$ - $\frac{60 \mathrm{~s}}{1 \mathrm{~min}}$ - $\frac{1000 \mathrm{~m}}{1 \mathrm{~km}}$ - $\frac{1 \mathrm{~min}}{60 \mathrm{~s}}$

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Problem 485

A \ $250,000 house is assessed at$ 1/5$ of its value. With a tax rate of \$3.20 per hundred, what is the yearly tax?

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Problem 486

Find the altitude change per minute for a balloon that descended 2,700 feet in 135 minutes. What is the value?

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Problem 487

Divide 14 kids in Camp A and 21 kids in Camp B into equal-sized groups. How many kids are in each group?

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Problem 488

Divide 14 kids in Camp A and 21 kids in Camp B into equal-sized groups. How many kids are in each group?

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Problem 489

Jane buys 1 carton of eggs every 10 days for \$3.50. With \$20, how many days of eggs can she buy and how many cartons?

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Problem 490

Raya buys a van for £8500 plus 20% VAT. She pays a deposit and then 12 monthly payments of £531.25. Find the deposit to total payments ratio in simplest form.

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Problem 491

Two cities are 3.75 inches apart on a map where 2 inches = 50 miles. How far apart are they in miles?

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Problem 492

John shovels snow for 5 houses in 2 hours. How long for 13 houses?

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Problem 493

Brenda earns \$25 for 3 hours of babysitting. How much for 7.5 hours? Dan paints every 3 weeks; how many in a year? John shovels 5 houses in 2 hours; how long for 13? Baxter boys prep 25 papers in 3 min; time for 131?

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Problem 494

How many miles can Chris drive in the city with a hybrid car averaging 44 miles per gallon and a 13.2-gallon tank?

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Problem 495

Find how many times the value of 7 in 64,713 is compared to 375, and the value of 3 in 375 compared to 64,713.

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Problem 496

Conor feeds his cats 9 ounces daily. How many days will 414 ounces last? A) 21 B) 27 C) 46 D) 49

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Problem 497

Estimate the difference in Internet users between English ( $478,582,273$ ) and Chinese ( $383,212,617$ ) languages.

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Problem 498

Yu Yan swims 0.5 miles in 25 minutes. Find her speed in miles per minute: $speed = \frac{distance}{time}$ .

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Problem 499

On a map, $2 \mathrm{~cm}$ equals $30 \mathrm{mi}$ . Find the map distance for $75 \mathrm{mi}$ . Show your work.

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Problem 500

How many boxes are needed for 112 action figures if each box contains 8 figures? Use the formula $\frac{112}{8}$ .

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Ratios & Proportions

Problem 401

Tatiana compró manzanas a \$3500 la libra. ¿Cuántas libras puede comprar con \$24.500?

Problem 402

Tatiana compró manzanas a \$3500 la libra. ¿Cuántas libras puede comprar con \$24,500?

Problem 403

Encuentra el máximo número de estudiantes por fila si hay 72 niños y 90 nikas, usando solo uno por fila.

Problem 404

Find the exchange rate for HKD 2000 to CNY 1580 and how much CNY for HKD 1200. Also, calculate words typed by Amy in 8 mins and time for an article.

Problem 405

Mark exchanged HKD 2000 for CNY 1580. Find the exchange rate in CNY/HKD and how much CNY for HKD 1200?

Problem 406

Mark exchanged HKD 2000 for CNY 1580. Find the exchange rate CNY/HKD and CNY for HKD 1200.

Problem 407

Amy types 72 words/min. How many words in 8 min? Time to type 1800 words? Use W=R×TW = R \times TW=R×T.

Problem 408

Mike and Hugo share money in a 3:53:53:5 ratio. If Mike gets \$18, find the total amount.

Problem 409

A 60 cm60 \mathrm{~cm}60 cm string is split in a 2:32:32:3 ratio. What is the length of the longer part?

Problem 410

How many times greater was Tyler's 3343 \frac{3}{4}343​ miles run compared to Priya's 1121 \frac{1}{2}121​ miles?

Problem 411

Problem 412

8 or 10Kate's new juicer is able to squeeze 34\frac{3}{4}43​ of a cup of orange juice from 112\frac{1}{12}121​ of a bag of oranges. Compute the unit rate of cups per bag of oranges.A 3 cups per bagB 6 cups per bagC 9 cups per bagD 12 cups per bag

Problem 413

) 选 A Solve for uuu in the proportion. 129.6=u3.2u=□\begin{array}{l} \frac{12}{9.6}=\frac{u}{3.2} \\ u=\square \end{array}9.612​=3.2u​u=□​Submit

Problem 414

玟 Solve for nnn in the proportion. 20n=1715.3n=□\begin{array}{l} \frac{20}{n}=\frac{17}{15.3} \\ n=\square \end{array}n20​=15.317​n=□​ □\square□ Submit

Problem 415

Problem 416

Problem 417

3. In one year, a colony of bees produces 0.4 kg of honey for every 2500 bees.A small bee colony has approximately 20000 bees.How much honey can the bee colony produce in one year?

Problem 418

Determine whether the two pairs of numbers are proportional. 6,7 and 60,70Are the number pairs proportional? No Yes

Problem 419

How much will a person pay for 2.3 pounds of bananas at a price of $1.23\$ 1.23$1.23 per pound?The price the person will pay is □\square□ dollars. (Round to the nearest cent.)

Problem 420

If your car gets 27 miles per gallon, how much does it cost to drive 350 miles when gasoline costs $2.50\$ 2.50$2.50 per gallon?The cost is $\$$ □\square□ (Simplify your answer. Round to the nearest cent as needed.)

Problem 421

Problem 7 A rock with a mass of 540 g in air is found to have an apparent mass of 342 g when submerged in water. (a) What mass of water is displaced? (b) What is the volume of the rock? (c) What is its average density? Is this consistent with the value for granite?

Problem 422

Problem 423

Solving a word problem on pDonna made $144\$ 144$144 for 12 hours of work. At the same rate, how much would she make for 8 hours of work? \【I 【I 【I\square$ Explanation Check

Problem 424

Problem 425

Which paint costs the most per quart? Glide Paint: 1 gallon for $28.92\$ 28.92$28.92 Smooth Paint: 3 quarts for $22.75\$ 22.75$22.75 One-Coat Paint: 4 pints for $15.00\$ 15.00$15.00 Smooth Paint One-Coat Paint Glide Paint

Problem 426

Problem 3: There are 12 books on the top shelf of a book shelf. That is 16\frac{1}{6}61​ of the total number of books on the bookshelf. How many books are there on the bookshelf? Show or explain your reasoning.

Problem 427

A house painter has $8,000\$ 8,000$8,000 to buy paint. If each can of paint costs $8\$ 8$8, how many cans of paint can the painter buy? □\square□ cans Submit Work it out Not feeling ready yet? These can heln.

Problem 428

b. Jennie makes quilts. She can make 7 quilts with 21 yards of material How many yards of material would be required to make 12 quilts? Show your work and label your answer.

Problem 429

Problem 430

Problem 431

- A unit rate relates a quantity to 1 .Unit rates can be used to compare two rates. Any rate is equivalent to its unit rate. A unit rate always relates quantities with the same units.

Problem 432

Write a unit rate for the situation. 2520 kilobytes in 18 seconds □\square□ kilobytes per second

Problem 433

If A:B=3:4A: B=3: 4A:B=3:4, B:C=5:6B: C=5: 6B:C=5:6, and C:D=7:8C: D=7: 8C:D=7:8, find A:DA: DA:D. Options: (a) 11:3711: 3711:37, (b) 16:3716: 3716:37, (d) None.

Problem 434

If A:B=6:7A: B=6: 7A:B=6:7 and B:C=8:9B: C=8: 9B:C=8:9, find the ratio A:CA: CA:C. Choose from the options: (a) 1.3:211.3: 211.3:21, (b) 17:2117: 2117:21, (c) 16:2116: 2116:21, (d) 19:2119: 2119:21, (e) None.

Problem 435

Simplify the ratio 18:45:2418: 45: 2418:45:24.

Problem 436

Find the ratio a:b:ca : b : ca:b:c given a:b=10:7a : b = 10 : 7a:b=10:7 and a:c=15:13a : c = 15 : 13a:c=15:13.

Problem 437

Las cinco novenas partes de una ruta son asfaltadas y quedan 240 km240 \mathrm{~km}240 km sin asfaltar. ¿Cuál es la longitud total de la ruta?

Problem 438

What is the scale of a model car if the real car is 4.2 m4.2 \mathrm{~m}4.2 m and the model is 7 cm7 \mathrm{~cm}7 cm? (Format: 1:n1:n1:n)

Problem 439

If 3 loaves feed 9 people, how many people can 9 loaves feed?

Problem 440

What was Roger's average speed if he drove 188 miles in 4 hours?

Problem 441

A tank is 23\frac{2}{3}32​ full with 2400 litres. Is the tank's capacity 3600 litres? Calculate and verify.

Problem 442

Find Sharon's average speed if she drove 140 miles in 4 hours. Use the formula: speed = distance/time.

Problem 443

A water tank is 23\frac{2}{3}32​ full (2400 Litres). Is Peter correct that its capacity is 3600 Litres? Find water when half-full.

Amy types 72 words/min. How many words in 8 min? Time to type 1800 words? Use $W = R \times T$ .

Mike and Hugo share money in a $3:5$ ratio. If Mike gets \$18, find the total amount.

A $60 \mathrm{~cm}$ string is split in a $2:3$ ratio. What is the length of the longer part?

How many times greater was Tyler's $3 \frac{3}{4}$ miles run compared to Priya's $1 \frac{1}{2}$ miles?

8 or 10
Kate's new juicer is able to squeeze $\frac{3}{4}$ of a cup of orange juice from $\frac{1}{12}$ of a bag of oranges. Compute the unit rate of cups per bag of oranges.
A 3 cups per bag
B 6 cups per bag
C 9 cups per bag
D 12 cups per bag

) 选 A Solve for $u$ in the proportion. $\begin{array}{l} \frac{12}{9.6}=\frac{u}{3.2} \\ u=\square \end{array}$
Submit

玟 Solve for $n$ in the proportion. $\begin{array}{l} \frac{20}{n}=\frac{17}{15.3} \\ n=\square \end{array}$ $\square$ Submit

3. In one year, a colony of bees produces 0.4 kg of honey for every 2500 bees.
A small bee colony has approximately 20000 bees.
How much honey can the bee colony produce in one year?

Determine whether the two pairs of numbers are proportional. 6,7 and 60,70
Are the number pairs proportional? No Yes

How much will a person pay for 2.3 pounds of bananas at a price of $\$ 1.23$ per pound?
The price the person will pay is $\square$ dollars. (Round to the nearest cent.)

If your car gets 27 miles per gallon, how much does it cost to drive 350 miles when gasoline costs $\$ 2.50$ per gallon?
The cost is $\$$ $\square$ (Simplify your answer. Round to the nearest cent as needed.)

Solving a word problem on p
Donna made $\$ 144$ for 12 hours of work. At the same rate, how much would she make for 8 hours of work? \ $【I$ \square$ Explanation Check

Which paint costs the most per quart? Glide Paint: 1 gallon for $\$ 28.92$ Smooth Paint: 3 quarts for $\$ 22.75$ One-Coat Paint: 4 pints for $\$ 15.00$ Smooth Paint One-Coat Paint Glide Paint

Problem 3: There are 12 books on the top shelf of a book shelf. That is $\frac{1}{6}$ of the total number of books on the bookshelf. How many books are there on the bookshelf? Show or explain your reasoning.

A house painter has $\$ 8,000$ to buy paint. If each can of paint costs $\$ 8$ , how many cans of paint can the painter buy? $\square$ cans Submit Work it out Not feeling ready yet? These can heln.

- A unit rate relates a quantity to 1 .
Unit rates can be used to compare two rates. Any rate is equivalent to its unit rate. A unit rate always relates quantities with the same units.

Write a unit rate for the situation. 2520 kilobytes in 18 seconds $\square$ kilobytes per second

If $A: B=3: 4$ , $B: C=5: 6$ , and $C: D=7: 8$ , find $A: D$ . Options: (a) $11: 37$ , (b) $16: 37$ , (d) None.

If $A: B=6: 7$ and $B: C=8: 9$ , find the ratio $A: C$ . Choose from the options: (a) $1.3: 21$ , (b) $17: 21$ , (c) $16: 21$ , (d) $19: 21$ , (e) None.

Simplify the ratio $18: 45: 24$ .

Find the ratio $a : b : c$ given $a : b = 10 : 7$ and $a : c = 15 : 13$ .

Las cinco novenas partes de una ruta son asfaltadas y quedan $240 \mathrm{~km}$ sin asfaltar. ¿Cuál es la longitud total de la ruta?

What is the scale of a model car if the real car is $4.2 \mathrm{~m}$ and the model is $7 \mathrm{~cm}$ ? (Format: $1:n$ )

A tank is $\frac{2}{3}$ full with 2400 litres. Is the tank's capacity 3600 litres? Calculate and verify.

A water tank is $\frac{2}{3}$ full (2400 Litres). Is Peter correct that its capacity is 3600 Litres? Find water when half-full.

Calculate $\frac{4 \times 10^{9}}{2 \times 10^{-6}}$ .

A tank is $\frac{2}{3}$ full with 2400 litres. Is Peter correct that the tank's capacity is 3600 litres? Find the litres needed to fill it.

Jasmine drinks 2 pints/day, Brenda 3 pints/day. Find their cup equivalents and compare ratios. Each square is $8 \mathrm{~mm}$ .

What was Sharon's average speed if she drove 140 miles in 4 hours? Options: $30 \mathrm{mph}$ , $35 \mathrm{mph}$ , $136 \mathrm{mph}$ , $560 \mathrm{mph}$ .

A company sells $300 \mathrm{~m}$ rolls for \R 375,00 and $200 \mathrm{~m}$ rolls for \R 275,00. Find cost per metre for each.

Calculate $3 \div \frac{1}{3} + 1$ .

Jackson traveled 3630 miles in 60 days. What is his average daily mileage? Calculate using $\frac{3630}{60}$ .

В самолета с 210 пътници, мъжете са: $x$ , където $x$ е отнасянето $6: 7$ спрямо жените. Намерете $x$ .

An aircraft flies 1855 miles at 530 mph, using fuel at 21 lbs/min. How much fuel is used in kg? (Use $2.2 \mathrm{lbs}=1 \mathrm{~kg}$ )

An aircraft uses $260 \mathrm{lbs}$ of fuel in 2.75 hours. What is the fuel consumption rate per hour?

How long to travel 46 miles at an average speed of $24 \mathrm{mph}$ ?

An aircraft with $5400 \mathrm{lbs}$ of fuel used $3400 \mathrm{lbs}$ after 180 miles. Find the average fuel consumption rate.

A blue whale swims 0.5 miles in 1 minute. How far does it swim in 5 minutes? Use $\frac{2.5 \text{ miles}}{5 \text{ minutes}}$ .

An aircraft flies 240 miles, starting with $3000 \mathrm{lbs}$ of fuel and ending with $1080 \mathrm{lbs}$ . Find the average fuel consumption per mile.

An aircraft with 5400 lbs of fuel uses $3400 \mathrm{lbs}$ after 180 miles. Find the average fuel consumption rate.

Convert 120 inches to feet. How many feet is that? Use the conversion $1 \text{ foot} = 12 \text{ inches}$ .

Lynne feeds her cat $65 \mathrm{~g}$ daily. How many ounces will she feed in 5 weeks? Use $10 z=28.3 \mathrm{~g}$ .

What factors convert $4 \mathrm{~km} / \mathrm{min}$ to meters per hour?

Solve for $x$ in the equation: $\frac{69}{100}=\frac{x}{750}$ .

What factors convert $18 \mathrm{~cm/s}$ to meters per minute? Choose correct options: 1) $\frac{1 \mathrm{~m}}{100 \mathrm{~cm}}$ 2) $\frac{60 \mathrm{~s}}{1 \mathrm{~min}}$

Johnathan gets $2500 \mathrm{~kg}$ of sand daily. How many tons does he receive in 4 weeks?