Ratios & Proportions

Problem 301

We need these 7 units to represent 21 total pieces of fruit. 7 equal groups of what value gives you 21 ?
Blueberries $\square$ 21
Strawberries
7 . $\square$ $=21$

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Problem 302

A parachutist jumps from a plane 13,200 feet above the earth. If she landed in 3 minutes, what was her average speed in miles per hour?

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Problem 303

volume of 350 cubic centimeters. Calculate its mass.
「豨] Write your answer as a whole number. 䯚」 $\square$ grams

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Problem 304

BIG IDEAS MATH Save I Exit Submit \#2 i ك开 Listen
You make 12 equal payments. You pay a total of $\$ 1476$ . How much is each payment?
Each payment is $\$$ . $\square$

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Problem 305

Select all ratios equivalent to $14: 21$ .
16:6
9:35
8:12
6:9

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Problem 306

Find the number that makes the ratio equivalent to 12:8. $\square$ :64

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Problem 307

Practice
1. Mealworms are a healthy food for wild songbirds. Adam buys a 3.5-oz container of mealworms for $\$ 8.75$ . Marco buys a 3.75-oz container of mealworms for $\$ 9.75$ . Which container is the better deal?

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Problem 308

$\frac{3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}}{5.20 \times 10^{-5} \mathrm{~cm}}$

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Problem 309

(4) Ms. Tyson is doing an engineering challenge with her students. Each team will get a kit with bags of marshmallows and boxes of toothpicks. Ms. Tyson has 36 bags of marshmallows and 48 boxes of toothpicks. She wants to use all the bags of marshmallows and all the boxes of toothpicks to make identical kits for the teams.
4. Which of the following numbers of identical kits can Ms. Tyson make? Choose ALL that apply.

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Problem 310

1 6 \longdiv { 9 . 2 }

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Problem 311

Shawna does her math homework every night. Last night, Shawna spent 45 minutes solving 15 math problems. Tonight, she needs to solve 10 math problems.
If she does them at the same rate, how many minutes will Shawna spend solving tonight's math problems? $\square$ minutes

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Problem 312

Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
How many crickets did Greta feed Lizzy? $\square$ crickets

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Problem 313

Lou's Diner spent $\$ 12.80$ on 8 pounds of potatoes. What was the cost of one pound of potatoes? What would be the total cost if the cost per pound remained the same and the diner bought 7 pounds? Show your work.

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Problem 314

A sour cream container holds a volume of 5 fluid ounces. Is the volume of 3 sour cream containers greater than 3 cups?

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Problem 315

Craig thinks his pet goldfish, Finn, might be lonely. So, Craig buys another goldfish to keep Finn company. He also buys a large 10-gallon tank so the two fish can swim together. If Finn currently lives in a 2-quart fish bowl, how many times bigger is his new tank than his old bowl?

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Problem 316

After reading The Master of the Bow, Brenna signs up for archery lessons. At her first lesson, she sets up her target 5 feet away from her. After lots of practice, she now sets up her target 15 yards away. How many times farther away does Brenna set up her target now?

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Problem 317

Jake made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 pound of each color. Then, he filled as many 6-ounce bottles as he could. How many sand art bottles did Jake make?

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Problem 318

Ratios. Proportons, and Measweimetus Writing ratios for real-world situations
There are 6 red marbles and 9 blue marbles in a bag. (a) What is the ratio of red marbles to all marbles in the bag? $\square$ (b) What is the ratio of all marbles in the bag to blue marbles? $\square$

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Problem 319

Kate can mow lawns at a constant rate of $\frac{4}{5}$ lawns per hour. What is the ratio of lawns to hours?

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Problem 320

There are 30 boys in 6th grade. The number of girls in 6th grade is 40 . Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer? You can earn 5 coins
Correct Ratio $10: 20$ 3:4 3:7

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Problem 321

.5 Unit rates $2 N B$
Audrey read a total of 26 books over 13 months. If Audrey has read 40 books so far, how many months has she been with her book club? Solve using unit rates. $\square$ months submit

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Problem 322

Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of shredded cheese.
How much milk does Nolan need for this smaller batch?

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Problem 323

The principal at Richmond High School is planning the graduation ceremony for this year. Last year, it took her 50 minutes to hand out diplomas to 250 graduates. This year, there are 300 graduates. If the principal hands out diplomas at the same rate, how long will it take to hand out diplomas at this year's ceremony?

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Problem 324

Tina and Mina's ages are in the ratio $4:5$ . In 3 years, their ages sum to 33. Find their current ages.

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Problem 325

Jordan has ingredients for hot chocolate. What's the max servings he can make with 5 chocolate squares, 2 cups sugar, and 7 cups milk?

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Problem 326

Convierte $783 \mathrm{~cm}^{2}$ a $\mathrm{m}^{2}$ y elige la opción correcta: a. $0,0000783 m^{2}$ b. $0,0783 \mathrm{~m}^{2}$ c. $0,000783 \mathrm{~m}^{2}$ d. $0,00783 \mathrm{~m}^{2}$

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Problem 327

Una máquina recorre 100 m en 3 min. ¿Cuál es su velocidad en m/s? Opciones: a. $0.55 \mathrm{~m/s}$ b. $0.2 \mathrm{~m/s}$ c. $125 \mathrm{~m/s}$ d. $0.0025 \mathrm{~m/s}$

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Problem 328

La velocidad en el vacío es $300000000 \mathrm{~m/s}$ , ¿cuánto es en $\mathrm{km/s}$ ? Opciones: a. $3000000000 \mathrm{~km/s}$ b. $300000 \mathrm{~km/s}$ c. $300000000000 \mathrm{~km/s}$ d. $3000 \mathrm{~km/s}$

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Problem 329

Convierte $835 \mathrm{~cm}^{2}$ a $\mathrm{m}^{2}$ y elige la respuesta correcta: a. $0,00000835 \mathrm{~m}^{2}$ , b. $0,0835 \mathrm{~m}^{2}$ , c. $83500 \mathrm{~m}^{2}$ , d. $8350000 \mathrm{~m}^{2}$ .

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Problem 330

Convierte $250 \mathrm{~km/h}$ a $\mathrm{m/s}$ y elige la respuesta correcta: a. $236 \mathrm{~m/s}$ , b. $125 \mathrm{~m/s}$ , c. $69,4 \mathrm{~m/s}$ , d. $900 \mathrm{~m/s}$ .

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Problem 331

Convierte $430 \mathrm{~km/h}$ a $\mathrm{m/s}$ y selecciona la respuesta correcta: a. $119.4 \mathrm{~m/s}$ , b. $215 \mathrm{~m/s}$ , c. $860 \mathrm{~m/s}$ , d. $1548 \mathrm{~m/s}$ .

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Problem 332

If 45 kg is divided into 9 bags (5 kg each), how many bags for 100 kg?
Solve: $\frac{100}{x} = 5$ .

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Problem 333

Có 18 thanh long, 24 bưởi, 40 táo. Chia đều vào túi quà sao cho mỗi túi có đủ cả 3 loại. Tối đa được bao nhiêu túi?

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Problem 334

El ingeniero necesita calcular cuántos sacos adicionales de concreto necesita. Tiene 250 sacos y requiere $148 \times 5.5$ sacos.

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Problem 335

A car traveled 50 km to point B in 1 hour and returned in 1 hour. Find: 1. Speed to B, 2. Speed back, 3. Average speed, 4. Average speed in m/s, 5. Movement type.

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Problem 336

Find the reduced ratio of the mother’s height (125 cm) to the daughter’s height (50 cm). Options: a. $5: 2$ , b. $2: 5$ , c. $10: 20$ , d. $3: 1$ .

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Problem 337

The ratio $x$ to $y$ equals 12 to $t$ . If $x=156$ , find $y$ in terms of $t$ . A: $13 t$

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Problem 338

A car travels at $200 \mathrm{~km} / \mathrm{h}$ . Find its speed relative to various observers moving at $100 \mathrm{~km} / \mathrm{h}$ and $200 \mathrm{~km} / \mathrm{h}$ .

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Problem 339

Find the time per beat in seconds if your heart rate is 150 beats per minute.

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Problem 340

A manufacturer mixes melted wax, water, and white spirits in the ratio $3/4 : 3/2 : 1/4$ . Find litres for 70 litres total. Choices: a, b, c, d.

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Problem 341

An aircraft with 5400 lbs of fuel uses 3400 lbs after 180 miles. What is the average fuel consumption rate?

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Problem 342

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 343

Find the actual length $L$ of a copper rod measured as $80 \mathrm{~cm}$ with a relative error of $\frac{1}{160}$ .

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Problem 344

How to simplify a decimal ratio? Example: Simplify $15.43, 3.25$ by multiplying both by 100 to eliminate decimals.

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Problem 345

At 10 mph, how far do you travel in 90 minutes? Calculate using the formula $d = rt$ .

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Problem 346

Find the average speed for an 18 mile journey completed in 3 hours. Use the formula: speed = distance/time.

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Problem 347

John drove for 2 hours at 45 mph. How far did he travel? Use the formula $d = rt$ .

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Problem 348

Berechne die Zeit, um einen Brunnen mit 2001 Litern bei $301 \, \mathrm{l/min}$ zu füllen.

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Problem 349

当其中一个人的 SPG 读数达到 $130 \mathrm{bar}$ 时，我们应调头。

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Problem 350

Zhen buys a laptop for S\ $1350 in Singapore and A\$1456 in Australia. With an exchange rate of 0.14, find the price difference in S$ .

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Problem 351

Calculate the price difference of a laptop bought for $\mathbf{S} \$ 1350$ in Singapore and $\mathrm{A} \$ 1456$ in Australia, with an exchange rate of $\mathrm{S} \$ 1=\mathrm{A} \$ 1.12$ .

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Problem 352

5 friends share 35 candies equally. How many candies does each friend get? Options: 6, 30, 7, 40.

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Problem 353

A restaurant needs $21 \mathrm{lb}$ of cooked meat with $30\%$ waste. Raw meat costs \$8.60/lb. Find the APQ.

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Problem 354

Medina fährt mit $18 \mathrm{~km/h}$ und hat 20 Minuten. Wie weit darf ihr Freund maximal wohnen?

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Problem 355

Convert 8 cm/sec to miles per hour using the conversion factor: 1 mile = 160934 cm.

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Problem 356

Convert 5 lbs/cm³ to kg/m³ using 1 lb = 0.453592 kg and 1 cm = 0.01 m.

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Problem 357

Convert $0.5 \mathrm{lbs} / \mathrm{cm}^{3}$ to $\mathrm{kg} / \mathrm{m}^{3}$ .

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Problem 358

Mimi and Lafi share profits in a 3:5 ratio. How much does Mimi get from a total profit of RM 8000?

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Problem 359

Mr. Jamal drives from Town M to Town N (40 km) at 60 km/h. How long will it take in minutes?

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Problem 360

How far does a car go in 2 seconds at a speed of $60 \mathrm{mph}$ ?

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Problem 361

How far does a car go in 2 seconds at $60 \mathrm{mph}$ ? Calculate using $\frac{60 \mathrm{mi}}{2 \mathrm{sec}} \cdot \frac{5280 \mathrm{ft}}{1 \mathrm{mi}} \cdot 2 \mathrm{sec}.$

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Problem 362

How much water (in gallons) flows from a hose in 30 seconds at 10 gallons per minute?

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Problem 363

Holas scoops gumballs weighing 0.76 pounds. If they cost \$3.48 per pound, what is the total cost of the gumballs?

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Problem 364

Find the length of a line that is 7 times 3,098 kilometers.

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Problem 365

A plane flew 104 miles in 50 minutes. How far can it fly in 1 hour? (50 min = $\frac{5}{6}$ hour)

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Problem 366

DeAndre downloads 8 apps in 12 seconds. How many can he download in 1 minute? (12 seconds $=\frac{1}{5}$ minute)

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Problem 367

Russell runs $\frac{9}{10}$ mile in 5 minutes. How many miles does he run in 1 minute?

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Problem 368

A truck driver drove 48 miles in 45 minutes. How far can they drive in one hour?

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Problem 369

Thunder from lightning travels $\frac{1}{10}$ mile in $\frac{1}{2}$ second. How far in miles does it travel in one second?

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Problem 370

At a summer camp, the camper to adult ratio is $7:1$ . Complete the table with equivalent ratios.

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Problem 371

A sloth travels $60 \mathrm{ft}$ in $5 \mathrm{min}$ . How long to travel $300 \mathrm{ft}$ ? Show your work.

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Problem 372

At a camp with a camper to adult ratio of $7:1$ , fill in the table and find adults for 63 campers. Show your work.

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Problem 373

Is multiplying the ratio $60:36$ by $\frac{1}{6}$ correct for comparing 10 returning players to 6 new players? Explain.

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Problem 374

A polo Vivo driver traveling $1000 \mathrm{~km}$ uses litres calculated by $1000 \div 10$ . With R26.74/litre, how many litres can R14.40 buy?

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Problem 375

A driver wants to travel $1000 \mathrm{~km}$ . How many litres of petrol will he use if litres = km $\div 10$ ?

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Problem 376

Nisbah reben merah, biru, dan hijau. (a) Jika reben biru 25, cari reben merah. (b) Cari nisbah reben merah:biru:hijau.

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Problem 377

Find all ratios equivalent to $8: 12$ . Options: A) $4: 6$ , B) $12: 8 X$ , C) $16: 20 X$ , D) $24: 36$ , E) $56: 84$ .

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Problem 378

At a restaurant, 120 water bottles were in ice; 36 remained. Find the ratios of taken to total and remaining to taken bottles.

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Problem 379

Khalid compares prices for sandwiches: Store A: 5 ft for \$42.50, Store B: 6 ft for \$49.50. Which is cheaper per foot?

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Problem 380

Khalid is buying sandwiches: Store A has a 5-foot for \$42.50, Store B has a 6-foot for \$49.50. Which is cheaper per foot?

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Problem 381

Compare the cost per fluid ounce of Brand $X$ ( $\$ 3.25$ for 5 oz) and Brand $Y$ ( $\$ 6.00$ for 8 oz). Find the difference.

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Problem 382

What is the monthly cost of a subscription that is \$28.50 for 6 months? Show your calculations.

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Problem 383

How long does it take Ricky to run 90 feet to first base at a speed of 25 feet/second?

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Problem 384

At a dance, there are 132 boys, 89 girls, and 14 adults. Find the ratios: boys to girls and boys to adults in two forms.

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Problem 385

How many tanks of gas are needed to drive 1200 miles if the car gets 24 miles per gallon and holds 15 gallons?

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Problem 386

What is the cost to run a 60 watt bulb for 15 days at \$0.16 per kWh?

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Problem 387

Peter pressed buttons 180 times in 1.5 minutes. Find the rate in (a) times/minute and (b) times/second.

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Problem 388

Berechnen Sie die Zinstage zwischen 05. Januar und 17. Juni für Kreditzinsen und Sparzinsen.

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Problem 389

Berechnen Sie die Zinstage vom 15. Juli bis 28. Oktober für Kreditzinsen und Sparzinsen.

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Problem 390

Find the speed of a train that travels $450 \mathrm{~km}$ in 2.5 hours, expressed in $\mathrm{m/s}$ .

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Problem 391

Vergleiche die Kosten für zwei Handytarife bei 400 Minuten: 19,99 \€ vs. 5,90 \€ + 0,04 \€ pro Minute.

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Problem 392

Convert the cruise ship's fuel consumption from 0.000925 km/L to L/km.

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Problem 393

3.- Identity theft starts with your nine-digit social security number. Find probabilities as fractions: a) Chance of randomly generating your SSN. b) If the last four digits are known, what's the chance the first five match?

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Problem 394

Heather biked 8.7 miles in 1.2 hours. How many miles did she ride in 1 hour? Calculate: $\frac{8.7}{1.2}$ .

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Problem 395

Kalvin has \$8.75. If 3 oranges cost \$1.25, how many oranges can he buy?

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Problem 396

An art teacher buys 7 containers of paint for \$35. If her class uses 8 containers weekly for 10 weeks, find the total cost.

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Problem 397

In a 60-minute class, how many minutes do members spend stretching if they stretch for 2 minutes every 12 minutes?

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Problem 398

If Johnny runs 100 meters in 12 seconds, how long to run 1 mile? (1 mile = 1609 meters)

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Problem 399

A snail travels $1 \frac{1}{8}$ meters in $1 \frac{1}{2}$ minutes. Find the snail's rate in minutes per meter. Show your work.

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Problem 400

Jaylen's fish tank holds $4 \frac{1}{2}$ gallons and takes $1 \frac{7}{8}$ minutes to fill. Find the flow rate in gallons per minute.

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Ratios & Proportions

Problem 301

We need these 7 units to represent 21 total pieces of fruit. 7 equal groups of what value gives you 21 ?Blueberries □\square□ 21Strawberries7 . □\square□ =21=21=21

Problem 302

A parachutist jumps from a plane 13,200 feet above the earth. If she landed in 3 minutes, what was her average speed in miles per hour?

Problem 303

volume of 350 cubic centimeters. Calculate its mass.「豨] Write your answer as a whole number. 䯚」 □\square□ grams

Problem 304

BIG IDEAS MATH Save I Exit Submit \#2 i ك开 ListenYou make 12 equal payments. You pay a total of $1476\$ 1476$1476. How much is each payment?Each payment is $\$$ . □\square□

Problem 305

Select all ratios equivalent to 14:2114: 2114:21.16:69:358:126:9

Problem 306

Find the number that makes the ratio equivalent to 12:8. □\square□ :64

Problem 307

Practice1. Mealworms are a healthy food for wild songbirds. Adam buys a 3.5-oz container of mealworms for $8.75\$ 8.75$8.75. Marco buys a 3.75-oz container of mealworms for $9.75\$ 9.75$9.75. Which container is the better deal?

Problem 308

3.00×108 m/s5.20×10−5 cm\frac{3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}}{5.20 \times 10^{-5} \mathrm{~cm}}5.20×10−5 cm3.00×108 m/s​

Problem 309

Problem 310

1 6 \longdiv { 9 . 2 }

Problem 311

Shawna does her math homework every night. Last night, Shawna spent 45 minutes solving 15 math problems. Tonight, she needs to solve 10 math problems.If she does them at the same rate, how many minutes will Shawna spend solving tonight's math problems? □\square□ minutes

Problem 312

Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.How many crickets did Greta feed Lizzy? □\square□ crickets

Problem 313

Lou's Diner spent $12.80\$ 12.80$12.80 on 8 pounds of potatoes. What was the cost of one pound of potatoes? What would be the total cost if the cost per pound remained the same and the diner bought 7 pounds? Show your work.

Problem 314

A sour cream container holds a volume of 5 fluid ounces. Is the volume of 3 sour cream containers greater than 3 cups?

Problem 315

Craig thinks his pet goldfish, Finn, might be lonely. So, Craig buys another goldfish to keep Finn company. He also buys a large 10-gallon tank so the two fish can swim together. If Finn currently lives in a 2-quart fish bowl, how many times bigger is his new tank than his old bowl?

Problem 316

After reading The Master of the Bow, Brenna signs up for archery lessons. At her first lesson, she sets up her target 5 feet away from her. After lots of practice, she now sets up her target 15 yards away. How many times farther away does Brenna set up her target now?

Problem 317

Jake made sand art bottles to sell at his school's craft fair. He wanted to use 9 different colors of sand. So, he bought 1 pound of each color. Then, he filled as many 6-ounce bottles as he could. How many sand art bottles did Jake make?

Problem 318

Ratios. Proportons, and Measweimetus Writing ratios for real-world situationsThere are 6 red marbles and 9 blue marbles in a bag. (a) What is the ratio of red marbles to all marbles in the bag? □\square□ (b) What is the ratio of all marbles in the bag to blue marbles? □\square□

Problem 319

Kate can mow lawns at a constant rate of 45\frac{4}{5}54​ lawns per hour. What is the ratio of lawns to hours?

Problem 320

Problem 321

.5 Unit rates 2NB2 N B2NBAudrey read a total of 26 books over 13 months. If Audrey has read 40 books so far, how many months has she been with her book club? Solve using unit rates. □\square□ months submit

Problem 322

Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of shredded cheese.How much milk does Nolan need for this smaller batch?

Problem 323

Problem 324

Tina and Mina's ages are in the ratio 4:54:54:5. In 3 years, their ages sum to 33. Find their current ages.

Problem 325

Jordan has ingredients for hot chocolate. What's the max servings he can make with 5 chocolate squares, 2 cups sugar, and 7 cups milk?

Problem 326

Convierte 783 cm2783 \mathrm{~cm}^{2}783 cm2 a m2\mathrm{m}^{2}m2 y elige la opción correcta: a. 0,0000783m20,0000783 m^{2}0,0000783m2 b. 0,0783 m20,0783 \mathrm{~m}^{2}0,0783 m2 c. 0,000783 m20,000783 \mathrm{~m}^{2}0,000783 m2 d. 0,00783 m20,00783 \mathrm{~m}^{2}0,00783 m2

Problem 327

Una máquina recorre 100 m en 3 min. ¿Cuál es su velocidad en m/s? Opciones: a. 0.55 m/s0.55 \mathrm{~m/s}0.55 m/s b. 0.2 m/s0.2 \mathrm{~m/s}0.2 m/s c. 125 m/s125 \mathrm{~m/s}125 m/s d. 0.0025 m/s0.0025 \mathrm{~m/s}0.0025 m/s

Problem 328

Problem 329

Convierte 835 cm2835 \mathrm{~cm}^{2}835 cm2 a m2\mathrm{m}^{2}m2 y elige la respuesta correcta: a. 0,00000835 m20,00000835 \mathrm{~m}^{2}0,00000835 m2, b. 0,0835 m20,0835 \mathrm{~m}^{2}0,0835 m2, c. 83500 m283500 \mathrm{~m}^{2}83500 m2, d. 8350000 m28350000 \mathrm{~m}^{2}8350000 m2.

Problem 330

Convierte 250 km/h250 \mathrm{~km/h}250 km/h a m/s\mathrm{m/s}m/s y elige la respuesta correcta: a. 236 m/s236 \mathrm{~m/s}236 m/s, b. 125 m/s125 \mathrm{~m/s}125 m/s, c. 69,4 m/s69,4 \mathrm{~m/s}69,4 m/s, d. 900 m/s900 \mathrm{~m/s}900 m/s.

Problem 331

Convierte 430 km/h430 \mathrm{~km/h}430 km/h a m/s\mathrm{m/s}m/s y selecciona la respuesta correcta: a. 119.4 m/s119.4 \mathrm{~m/s}119.4 m/s, b. 215 m/s215 \mathrm{~m/s}215 m/s, c. 860 m/s860 \mathrm{~m/s}860 m/s, d. 1548 m/s1548 \mathrm{~m/s}1548 m/s.

Problem 332

If 45 kg is divided into 9 bags (5 kg each), how many bags for 100 kg?Solve: 100x=5\frac{100}{x} = 5x100​=5.

Problem 333

Có 18 thanh long, 24 bưởi, 40 táo. Chia đều vào túi quà sao cho mỗi túi có đủ cả 3 loại. Tối đa được bao nhiêu túi?

Problem 334

El ingeniero necesita calcular cuántos sacos adicionales de concreto necesita. Tiene 250 sacos y requiere 148×5.5148 \times 5.5148×5.5 sacos.

Problem 335

A car traveled 50 km to point B in 1 hour and returned in 1 hour. Find: 1. Speed to B, 2. Speed back, 3. Average speed, 4. Average speed in m/s, 5. Movement type.

Problem 336

Find the reduced ratio of the mother’s height (125 cm) to the daughter’s height (50 cm). Options: a. 5:25: 25:2, b. 2:52: 52:5, c. 10:2010: 2010:20, d. 3:13: 13:1.

Problem 337

The ratio xxx to yyy equals 12 to ttt. If x=156x=156x=156, find yyy in terms of ttt. A: 13t13 t13t

Problem 338

A car travels at 200 km/h200 \mathrm{~km} / \mathrm{h}200 km/h. Find its speed relative to various observers moving at 100 km/h100 \mathrm{~km} / \mathrm{h}100 km/h and 200 km/h200 \mathrm{~km} / \mathrm{h}200 km/h.

Problem 339

Find the time per beat in seconds if your heart rate is 150 beats per minute.

Problem 340

A manufacturer mixes melted wax, water, and white spirits in the ratio 3/4:3/2:1/43/4 : 3/2 : 1/43/4:3/2:1/4. Find litres for 70 litres total. Choices: a, b, c, d.

Problem 341

An aircraft with 5400 lbs of fuel uses 3400 lbs after 180 miles. What is the average fuel consumption rate?

Problem 342

We need these 7 units to represent 21 total pieces of fruit. 7 equal groups of what value gives you 21 ?
Blueberries $\square$ 21
Strawberries
7 . $\square$ $=21$

volume of 350 cubic centimeters. Calculate its mass.
「豨] Write your answer as a whole number. 䯚」 $\square$ grams

BIG IDEAS MATH Save I Exit Submit \#2 i ك开 Listen
You make 12 equal payments. You pay a total of $\$ 1476$ . How much is each payment?
Each payment is $\$$ . $\square$

Select all ratios equivalent to $14: 21$ .
16:6
9:35
8:12
6:9

Find the number that makes the ratio equivalent to 12:8. $\square$ :64

Practice
1. Mealworms are a healthy food for wild songbirds. Adam buys a 3.5-oz container of mealworms for $\$ 8.75$ . Marco buys a 3.75-oz container of mealworms for $\$ 9.75$ . Which container is the better deal?

$\frac{3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}}{5.20 \times 10^{-5} \mathrm{~cm}}$

Shawna does her math homework every night. Last night, Shawna spent 45 minutes solving 15 math problems. Tonight, she needs to solve 10 math problems.
If she does them at the same rate, how many minutes will Shawna spend solving tonight's math problems? $\square$ minutes

Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
How many crickets did Greta feed Lizzy? $\square$ crickets

Lou's Diner spent $\$ 12.80$ on 8 pounds of potatoes. What was the cost of one pound of potatoes? What would be the total cost if the cost per pound remained the same and the diner bought 7 pounds? Show your work.

Ratios. Proportons, and Measweimetus Writing ratios for real-world situations
There are 6 red marbles and 9 blue marbles in a bag. (a) What is the ratio of red marbles to all marbles in the bag? $\square$ (b) What is the ratio of all marbles in the bag to blue marbles? $\square$

Kate can mow lawns at a constant rate of $\frac{4}{5}$ lawns per hour. What is the ratio of lawns to hours?

.5 Unit rates $2 N B$
Audrey read a total of 26 books over 13 months. If Audrey has read 40 books so far, how many months has she been with her book club? Solve using unit rates. $\square$ months submit

Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of shredded cheese.
How much milk does Nolan need for this smaller batch?

Tina and Mina's ages are in the ratio $4:5$ . In 3 years, their ages sum to 33. Find their current ages.

Convierte $783 \mathrm{~cm}^{2}$ a $\mathrm{m}^{2}$ y elige la opción correcta: a. $0,0000783 m^{2}$ b. $0,0783 \mathrm{~m}^{2}$ c. $0,000783 \mathrm{~m}^{2}$ d. $0,00783 \mathrm{~m}^{2}$

Una máquina recorre 100 m en 3 min. ¿Cuál es su velocidad en m/s? Opciones: a. $0.55 \mathrm{~m/s}$ b. $0.2 \mathrm{~m/s}$ c. $125 \mathrm{~m/s}$ d. $0.0025 \mathrm{~m/s}$

Convierte $835 \mathrm{~cm}^{2}$ a $\mathrm{m}^{2}$ y elige la respuesta correcta: a. $0,00000835 \mathrm{~m}^{2}$ , b. $0,0835 \mathrm{~m}^{2}$ , c. $83500 \mathrm{~m}^{2}$ , d. $8350000 \mathrm{~m}^{2}$ .

Convierte $250 \mathrm{~km/h}$ a $\mathrm{m/s}$ y elige la respuesta correcta: a. $236 \mathrm{~m/s}$ , b. $125 \mathrm{~m/s}$ , c. $69,4 \mathrm{~m/s}$ , d. $900 \mathrm{~m/s}$ .

Convierte $430 \mathrm{~km/h}$ a $\mathrm{m/s}$ y selecciona la respuesta correcta: a. $119.4 \mathrm{~m/s}$ , b. $215 \mathrm{~m/s}$ , c. $860 \mathrm{~m/s}$ , d. $1548 \mathrm{~m/s}$ .

If 45 kg is divided into 9 bags (5 kg each), how many bags for 100 kg?
Solve: $\frac{100}{x} = 5$ .

El ingeniero necesita calcular cuántos sacos adicionales de concreto necesita. Tiene 250 sacos y requiere $148 \times 5.5$ sacos.

Find the reduced ratio of the mother’s height (125 cm) to the daughter’s height (50 cm). Options: a. $5: 2$ , b. $2: 5$ , c. $10: 20$ , d. $3: 1$ .

The ratio $x$ to $y$ equals 12 to $t$ . If $x=156$ , find $y$ in terms of $t$ . A: $13 t$

A car travels at $200 \mathrm{~km} / \mathrm{h}$ . Find its speed relative to various observers moving at $100 \mathrm{~km} / \mathrm{h}$ and $200 \mathrm{~km} / \mathrm{h}$ .

A manufacturer mixes melted wax, water, and white spirits in the ratio $3/4 : 3/2 : 1/4$ . Find litres for 70 litres total. Choices: a, b, c, d.

Find the actual length $L$ of a copper rod measured as $80 \mathrm{~cm}$ with a relative error of $\frac{1}{160}$ .

How to simplify a decimal ratio? Example: Simplify $15.43, 3.25$ by multiplying both by 100 to eliminate decimals.

At 10 mph, how far do you travel in 90 minutes? Calculate using the formula $d = rt$ .

John drove for 2 hours at 45 mph. How far did he travel? Use the formula $d = rt$ .

Berechne die Zeit, um einen Brunnen mit 2001 Litern bei $301 \, \mathrm{l/min}$ zu füllen.

当其中一个人的 SPG 读数达到 $130 \mathrm{bar}$ 时，我们应调头。

Calculate the price difference of a laptop bought for $\mathbf{S} \$ 1350$ in Singapore and $\mathrm{A} \$ 1456$ in Australia, with an exchange rate of $\mathrm{S} \$ 1=\mathrm{A} \$ 1.12$ .

A restaurant needs $21 \mathrm{lb}$ of cooked meat with $30\%$ waste. Raw meat costs \$8.60/lb. Find the APQ.

Medina fährt mit $18 \mathrm{~km/h}$ und hat 20 Minuten. Wie weit darf ihr Freund maximal wohnen?

Convert $0.5 \mathrm{lbs} / \mathrm{cm}^{3}$ to $\mathrm{kg} / \mathrm{m}^{3}$ .

How far does a car go in 2 seconds at a speed of $60 \mathrm{mph}$ ?

How far does a car go in 2 seconds at $60 \mathrm{mph}$ ? Calculate using $\frac{60 \mathrm{mi}}{2 \mathrm{sec}} \cdot \frac{5280 \mathrm{ft}}{1 \mathrm{mi}} \cdot 2 \mathrm{sec}.$

A plane flew 104 miles in 50 minutes. How far can it fly in 1 hour? (50 min = $\frac{5}{6}$ hour)

DeAndre downloads 8 apps in 12 seconds. How many can he download in 1 minute? (12 seconds $=\frac{1}{5}$ minute)

Russell runs $\frac{9}{10}$ mile in 5 minutes. How many miles does he run in 1 minute?

Thunder from lightning travels $\frac{1}{10}$ mile in $\frac{1}{2}$ second. How far in miles does it travel in one second?

At a summer camp, the camper to adult ratio is $7:1$ . Complete the table with equivalent ratios.

A sloth travels $60 \mathrm{ft}$ in $5 \mathrm{min}$ . How long to travel $300 \mathrm{ft}$ ? Show your work.

At a camp with a camper to adult ratio of $7:1$ , fill in the table and find adults for 63 campers. Show your work.

Is multiplying the ratio $60:36$ by $\frac{1}{6}$ correct for comparing 10 returning players to 6 new players? Explain.

A polo Vivo driver traveling $1000 \mathrm{~km}$ uses litres calculated by $1000 \div 10$ . With R26.74/litre, how many litres can R14.40 buy?