Ratios & Proportions

Problem 1201

8. Solve each of the puzzle-problems below: (e) Euler, 1770 . Divide 100 into two summands such that one is divisible by 7 and the other by 11 .

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Problem 1202

Write the ritio as a fraction in lowest terms. 32 minutes to 4 hours
The ratio is \square .

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Problem 1203

A sign shows that the distance to Las Vegas is 22 miles. A traveler wants to know what this distance is in kilometers. Help the traveler by completing the parts below. (a) Let xx be the unknown number of kilometers. Using the values below, create a proportion that can be used to find xx. Use the conversion 1 mile =1.6=1.6 kilometers.
Values: \square 1 \square \square \square \square \square \square (b) Use the proportion from part (a) to find the distance to Las Vegas in kilometers. Do not round any computations. \square kilomete

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Problem 1204

Julie is visiting Canada from England. She brought £1000£ 1000. Maria is visiting Canada from Mexico. She brought MX\15000.LiaLeiisvisitingCanadafromChina.ShebroughtCN¥20000.Whohasthemostmoneytospend?Showyourwork.15000. Lia Lei is visiting Canada from China. She brought CN¥20 000. Who has the most money to spend? Show your work. £1C$1.650MX$1C$0.081CN¥1C$0.152\begin{array}{l} £ 1 \doteq \mathrm{C} \$ 1.650 \\ \mathrm{MX} \$ 1 \doteq \mathrm{C} \$ 0.081 \\ \mathrm{CN} ¥ 1 \doteq \mathrm{C} \$ 0.152 \end{array}$

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Problem 1205

Convert to millimeters.
Try using the metric prefix conversion chart: METRIC CONVERSION CHART Length/Capacity/Weight(Mass) Toce nerit to a smaller unit, maltipyly meving the decimel point to the right. Largerturit ×10×10×10×10×10\times 10 \times 10 \times 10 \times 10 \times 10 smillestemt \begin{tabular}{|c|c|c|c|c|c|c|} \hline King & Henry & Died & By & Drinking & Chocolate & Mik \\ \hline Kilo & Hecto & Deka & \begin{tabular}{l} BASE \\ Meter \\ Uter \\ Gram \end{tabular} & Deci & Centi & Mili \\ \hline & & &  whent  remic \begin{array}{l} \hline \text { whent } \\ \text { remic } \\ \hline \end{array} & & & \\ \hline \end{tabular}
Meter: Iength/distance Liter: capacity Grami weqht(mass)
100 meters == \square millimeters

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Problem 1206

In a certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 836 grams of copper. How many grams of zinc does it contair
It contains \square grams of zinc.

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Problem 1207

The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
The weight of 6 eggs is 258 g .
The constant of proportionality is \square grams per egg.

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Problem 1208

Calculate the trip cost for a 1,940-mile journey with a car that gets 28 mpg and gas at \$2.95 per gallon. Round to the cent.

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Problem 1209

How much is a Tata Nano costing in USD if it’s 2,057 GBP, with 1 GBP = 83.11 IR and 1 USD = 71.44 IR? Round to the nearest dollar.

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Problem 1210

Convert 1.000×103 cm31.000 \times 10^{3} \mathrm{~cm}^{3} of water to gallons using 1 cm3=1 mL1 \mathrm{~cm}^{3}=1 \mathrm{~mL} and 1 L=0.2641 \mathrm{~L}=0.264 gallons.

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Problem 1211

What is the ratio of rabbits to total animals in a zoo with 5 goats, 8 sheep, and 12 rabbits? A. 8:128: 12 B. 12:1312: 13 C. 12:2512: 25 D. 25:1225: 12

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Problem 1212

How much is 9,609 Iceland Krona in U.S. Dollars? Round to the nearest dollar. Choose the correct fractions for dimensional analysis.

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Problem 1213

What is another way to express the ratio of brown-eyed students to total students, 20:2520: 25? A. 20 B. 25 C. 2025\frac{20}{25} D. 2520\frac{25}{20}

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Problem 1214

How many social media users are added per second if 1.2 million are added daily? Round to one decimal place.

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Problem 1215

How many times would 10 million dollar bills (6.14 in each) wrap around the 84-mile I-275 loop? Round to 1 decimal place.

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Problem 1216

Patrick drew a smiley face on 13\frac{1}{3} of the circles, which is 4. What is the ratio of total circles to blank circles? A. 1:31: 3 B. 2:32: 3 C. 3:23: 2

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Problem 1217

Patrick drew a smiley face on 13\frac{1}{3} of the circles. What is the ratio of total circles to blank circles? A. 1:31:3 B. 2:32:3 C. 3:23:2

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Problem 1218

If Charles runs 100 meters in 23.4 seconds, how long for 400 meters at that speed?

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Problem 1219

A box of crackers has 2,470 calories. Each serving has 83 calories. How many servings are in the box?

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Problem 1220

How much do lemons cost to make four 9-inch pies needing half a cup of juice each, if they are \$0.55 each?

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Problem 1221

Calculate the usual dose of Ibuprofen in mg for an 18-month-old child weighing 26 pounds, using 5 mg/kg. Round to the nearest mg.

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Problem 1222

Determine which is smaller: the length xx in meters or the length yy in millimeters.

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Problem 1223

Select all equivalent ratios from: 4:7, 8:15, 16:28, 2:3, 20:35.

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Problem 1224

Find the value of \square in the equation (38cm3)=?m3(38 \mathrm{cm}^3) \cdot \square = ? \mathrm{m}^3.

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Problem 1225

Find the volume-to-surface area ratio for volume 30cm330 \, \text{cm}^3 and surface area 62cm262 \, \text{cm}^2 as a reduced fraction.

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Problem 1226

Kasi has 136 bricks for a patio with 8 equal rows. How many bricks per row? Solve: x=1368x = \frac{136}{8}.

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Problem 1227

Guadalupe bought a 6-pack of Mt. Dew for \$7.14. What is the unit price per can?

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Problem 1228

Nico spends \$5.76 on tomatoes at \$3.20 per pound. How many pounds did he buy?

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Problem 1229

Multiply and simplify: 4313=4 \cdot 3 \frac{1}{3} = (whole number, fraction, or mixed number).

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Problem 1230

Convert 1 g of aluminum foil to moles using the mass of 1 mole = 26.982 g26.982 \mathrm{~g}.

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Problem 1231

Mr. King made a 2-gallon fruit punch with 2 oz Tamarind, 2 pt Lemon, 12 c Ginger, 1 qt Cayenne. Find the pineapple juice amount.

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Problem 1232

What is the property tax on a home valued at \$240,000 if a \$180,000 home has a tax of \$1296?

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Problem 1233

Convert 635 grams to kilograms. Then, find the weight difference and how many times heavier the Mastiff is than the Chihuahua.

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Problem 1234

Find the BMI of a 14-year-old girl who is 56 inches tall and weighs 89 pounds using the formula: BMI=703WH2BMI=\frac{703W}{H^2}. Round to one decimal place.

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Problem 1235

In 2019, Critical Role raised \$11,385,449 on a \$750,000 goal. Answer: a. How many times more than the goal? b. What percentage of the goal? c. What percentage more than the goal?

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Problem 1236

Convert 25 inches to centimeters using the conversion 254 cm=1 in254 \mathrm{~cm} = 1 \mathrm{~in}.

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Problem 1237

Calculate the total solar energy reaching the U.S. if 2343 kJ/m22343 \mathrm{~kJ/m}^2 hits in one hour over 9,158,960 km29,158,960 \mathrm{~km}^2.

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Problem 1238

When converting 1.50 kg/L1.50 \mathrm{~kg} / \mathrm{L} into g/mL\mathrm{g} / \mathrm{mL}, what are the two missing steps needed to complete the calculation? 1.50 kgL×??×??\frac{1.50 \mathrm{~kg}}{L} \times \frac{?}{?} \times \frac{?}{?} 1000 g1Kg\frac{1000 \mathrm{~g}}{1 \mathrm{Kg}} 1L1000 mLL\frac{1 L}{1000 \mathrm{~mL} L} 1 mL1000 L\frac{1 \mathrm{~mL}}{1000 \mathrm{~L}} 1000 kg1 g\frac{1000 \mathrm{~kg}}{1 \mathrm{~g}} 1 g1000 kg\frac{1 \mathrm{~g}}{1000 \mathrm{~kg}} 1000L1mL\frac{1000 L}{1 m L}

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Problem 1239

Question Show Examples
Hannah conducted a scientific experiment. For a certain time, the temperature of a compound rose 3123 \frac{1}{2} degrees every 23\frac{2}{3} of an hour. What was the rate, in degrees per hour, that the temperature of the compound rose? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answer Attempt 1 out of 3
Answer type: \square Mixed number \square \square degrees per hour Submit Answer

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Problem 1240

Score: 8/10 Penalty: none
Question Show Examples
Kennedy drove 94 miles in 2232 \frac{2}{3} hours. On average, how fast did she drive, in miles per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answer Attempt 1 out of 3
Answer type: Mixed number \square \square miles per hour Submit Answer

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Problem 1241

Haru and Victor are on scooters.
Haru goes 15 meters in 6 seconds. Victor goes 22 meters in 10 seconds.
Who is moving faster?

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Problem 1242

South Africa broke the world record for largest pizza in 1990. It weighed 26833 pounds!
3 medium pizzas weigh about 2 pounds with toppings.
About how many medium pizzas are equivalent to the world's largest pizza? \square How many people do you think the world's largest pizza could feed? \square Submit

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Problem 1243

South Africa broke the world record for largest pizza in 1990. It weighed 26833 pounds!
3 medium pizzas weigh about 2 pounds with toppings. About how many medium pizzas are equivalent to the world's largest pizza?
How many people do you think the world's largest pizza could feed? Submit

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Problem 1244

Pablo feeds his dog 23\frac{2}{3} pounds of dog food for each meal. Pablo has just bought 30 pounds of dog food. For how many meals will the food last? Write your answer in simplest form. meals

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Problem 1245

Choose all the expressions that are equal to 27,000÷3027,000 \div 30. 270÷30270 \div 30 270 tens ÷3\div 3 tens 2,700 tens ÷3\div 3 tens 2,700÷32,700 \div 3 2,700 tens ÷30\div 30 tens

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Problem 1246

In a litter of kittens, 34\frac{3}{4} are white, and 78\frac{7}{8} are gray. Are there more white or more gray kittens?

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Problem 1247

Question A company orders 25 boxed lunches from a deli for \$208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer Attempt 1 out of 2 \$ per lunch Submit Answer

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Problem 1248

2. You lose an online auction for an autograph. Your losing bid of $42\$ 42 is 60%60 \% of the winning bid. How much less was your bid than the winning bid?

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Problem 1249

Convert: 6mi1,616ft=6 \mathrm{mi} 1,616 \mathrm{ft}= \square ft Submit

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Problem 1250

Fred and Ann are knitting scarves. It takes Fred 8 hours to knit 32 inches. This table shows how long it takes Ann to knit different lengths: \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Ann's scarf } \\ \hline Hours & Inches knitted \\ \hline 2 & 9 \\ \hline 4 & 18 \\ \hline 6 & 27 \\ \hline \end{tabular}
Assuming they each knit at a constant rate, who knits faster?
Fred
Ann
Neither; the rates are the same.

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Problem 1251

How many miles long is a line of 55 trillion bags, each 1212 inches long?

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Problem 1252

Find the mileage in miles per gallon if a motorcyclist rides 945.50 miles using 30.5 gallons of gasoline.

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Problem 1253

Find the ratio of heads (125) to total flips (300) and simplify: heads to flips. Choices: 7 to 12, 12 to 5, 5 to 12, 5 to 7.

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Problem 1254

How many quarters are in 12 dollars if there are 4 quarters in 1 dollar? Use multiplication or division to find the answer.

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Problem 1255

How many quarters are in twelve dollars if there are four quarters in a dollar? Answer: 12×4=?12 \times 4 = ?

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Problem 1256

How many scoops of ice cream are needed for 8 SuperBonanza sundaes if each has 4 scoops? Answer: 8×48 \times 4.

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Problem 1257

A 16-pound bag of Kitty Kibbles is \$20.80 and an 8-pound bag of Feline Flavor is \$11.20. Which has the lower unit price?

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Problem 1258

How many teaspoons of cocoa are needed per cup of milk if 22 teaspoons of cocoa are used with 11 cups of milk?

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Problem 1259

If 4 pizzas give 24 slices, how many slices are in 1 pizza? Use division to find the answer: 24÷424 \div 4.

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Problem 1260

Bryce rides 13\frac{1}{3} mile in 157\frac{1}{57} hour. Find his speed in miles per hour.

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Problem 1261

Jason eats 10 ounces of candy in 5 days.
a) How many pounds does he eat daily? (16 ounces = 1 pound) b) How long to eat 1 pound of candy?

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Problem 1262

Jason eats 10 ounces of candy in 5 days.
a) How many pounds does he eat daily? (16 ounces = 1 pound) b) How long to eat 1 pound of candy?

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Problem 1263

Jason eats 10 ounces of candy in 5 days. How many pounds does he eat per day? How long to eat 1 pound? (16(16 ounces =1=1 pound))

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Problem 1264

Joshua needs 2242 \frac{2}{4} cups of cream for 5 people. How much for 8 people? Show your calculations.

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Problem 1265

How much cream is needed for 8 people if 2142 \frac{1}{4} cups are required for 5 people? Show your work.

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Problem 1266

Find the hourly wage if a person earns \$490 for 29 hours of work. Round to two decimal places.

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Problem 1267

How much will it cost to drive 340 miles at 23 mpg with gas at \$3.20 per gallon? Round to the nearest cent.

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Problem 1268

Convert 47,778 inches to miles using: 1mi=1760yd,1yd=3ft,1ft=12in1 \mathrm{mi}=1760 \mathrm{yd}, 1 \mathrm{yd}=3 \mathrm{ft}, 1 \mathrm{ft}=12 \mathrm{in}.

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Problem 1269

Estimate the distance Earth travels in 60 seconds at a speed of 18.6 miles per second. Use d=rtd = rt.

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Problem 1270

Find the unknown in the proportion ?24=23\frac{?}{24}=\frac{2}{3}. Also, calculate the cost of 8 movie tickets if 2 cost \$16.

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Problem 1271

Find the unknown in the proportion: ?24=23\frac{?}{24}=\frac{2}{3}. Options: 16, 8, 6, 4.

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Problem 1272

The cafeteria paid \$82.80 for 360 bags of pretzels. Find the constant of proportionality in decimal form.

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Problem 1273

At a school dance, the ratio of boys to girls is 4:5. With 72 students total, find the number of boys and girls.

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Problem 1274

Calculate the total cost for 1 to 4 rounds of mini-golf at \$4.50 each. Explain the cost ratio for the rounds.

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Problem 1275

A skydiver falls at 176 feet/second. Calculate his fall speed in feet/minute.

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Problem 1276

Water weighs 8.34 pounds per gallon. How many ounces per gallon is that? (1 gallon = 128 ounces)

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Problem 1277

Lorenzo rides his bike at 5 yards/second. How many miles/hour is that? (1 mile =1,760=1,760 yards)

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Problem 1278

Convert a go-kart's speed of 607,200 feet per hour to miles per hour.

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Problem 1279

A human's top speed is 27 miles per hour. Calculate miles per minute.

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Problem 1280

```latex The table shows a survey of 250 customers at a health food store and their preferred drinks. Complete the statement that follows. Click the icon to view the table.
In Week 3, if 400 drinks are sold, to estimate the number of bubble teas, write the proportion \qquad There would be \qquad bubble teas.
In Week 3, if 400 drinks are sold, to estimate the number of bubble teas, write the proportion \square There would be \square bubble teas.
\begin{tabular}{|c|c|c|c|} \hline & \text{Smoothies} & \text{Bubble Teas} & \text{Total Drinks} \\ \hline \text{Week 1} & 100 & 150 & 250 \\ \hline \end{tabular} ```

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Problem 1281

13. A music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumstick costs $3\$ 3. How many drumsticks does she have? What is the cost to replace them all?

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Problem 1282

12. At a music recital, there are 30 chairs. They are set up in 6 equal rows. Find the number of columns.

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Problem 1283

HH 11 22 5656 112112 Unit Rate:
Answer: 14 students & 84c plants
5) A recipe calls for six cups of flour for every four cups of sugar for sugar cookies. How many cups of sugar are needed for 18 cups of flour?
Create a table. Highlight the unit rate. State your answer clearly with a label.
Flour Sugar 1818 44
Unit Rate: Answer:

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Problem 1284

Part 2 of 2
A bowl contains blue and pink marbles. A scoop of marbles that is a representative sample contains 39 blue marbles and 26 pink marbles. a. Can you predict if there are more blue marbles or more pink marbles in the bowl? Explain. b. There are 750 marbles in a bowl. If you pick one marble from the bowl, are you more likely to pick a blue marble or a pink marble? a. Can you predict if there are more blue marbles or more pink marbles in the bowl? Explain. Choose the correct answer below. Yes. Because the representative sample contains more blue marbles than pink marbles, you can predict that the bowl contains more blue marbles than pink marbles. B. No. Because the sample is random, there is no way to predict what the bowl contains. C. No, because it is unknown whether the bowl contains other colored marbles D. Yes. Because the representative sample contains more pink marbles than blue marbles, you can predict that the bowl contains more pink marbles than blue marbles. b. There are 750 marbles in a bowl. If you pick one marble from the bowl, are you more likely to pick a blue marble or a pink marble?
If there are 750 marbles in the bow, then there are about \square blue marbles and \square pink marbles. So, you are \square marble.

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Problem 1285

4) It took a pet store 10 weeks to sell 80 cats. What is the rate sold per week?

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Problem 1286

In 2 hours a candymaker can produce 80 boxes that each contain 10 pieces of candy. How many pieces of candy does the candymaker produce in 6 hours? [A] 480 [B] 4800 [C] 2400 [D] 600

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Problem 1287

6. Complete the table using division to find ratios that are equivalent to 40:28.

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Problem 1288

The Parks department budgeted \$675 to buy new wooden benches for the town parks. If the benches both cost \$45 each, how many benches will the parks department buy?

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Problem 1289

3. Use words to write two different ratios that can't be converted to fractions: \qquad \qquad

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Problem 1290

Convert the measurement.
55 yd == ______ inches
Submit Question

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Problem 1291

In the bleachers at the basketball game, 14 of the fans are adult men, and 512 are adult women. What fraction of the fans are adults? What fraction of the fans are children?\text{In the bleachers at the basketball game, } \frac{1}{4} \text{ of the fans are adult men, and } \frac{5}{12} \text{ are adult women. What fraction of the fans are adults? What fraction of the fans are children?}

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Problem 1292

An auto shop repairs 6 types of vehicles. The number of each type of vehicle repaired last month is shown in the bar graph below. Use this bar graph to answer the questions.
Number of vehicles repaired
(a) Write the ratio of the number of motorcycles repaired to the number of SUVs repaired.
(b) Write the ratio of the number of minivans repaired to the total number of vehicles repaired.

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Problem 1293

Find the unit rate. 213421 \frac{3}{4} meters in 2122 \frac{1}{2} hours
The unit rate is \square meters per hour.

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Problem 1294

In art class students are mixing blue and red paint to make purple paint. Aubree mixes 1 cup of blue paint and 4 cups of red paint. Abdoulaye mixes 3 cups of blue paint and 4 cups of red paint. Whose purple paint will be redder?
Answer Aubree's purple paint will be redder. Submit Answer Abdoulaye's purple paint will be redder. The two purple paints will be equally red.

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Problem 1295

1. Isotonic sodium chloride solution contains 0.9%0.9 \% w/v sodium chloride. If the EE value of boric acid is 0.52 , calculate the percentage strength ( w/v\mathrm{w} / \mathrm{v} ) of an isotonic solution of boric acid.

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Problem 1296

Maria and Hoang's class started recycling. In 10 days, they had 11.6 pounds of recycling! How many pounds per day is that?
Solution 1.16 pounds per day
Here is a problem and its solution. Explain how to go from the problem to the solution. Be as detailed as possible. Use the sketch tool if it helps you show your thinking.

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Problem 1297

Suppose the Consumer Price Index in 2019 is 131.9, with 2002 as the base year. (a) What is the purchasing power of the dollar in 2019 compared to 2002? (b) What is the real income, relative to 2002, of a wage earner whose income amounted to 62,900 in 2019?
(a) The purchasing power of the dollar in 2019 compared to 2002 is $\$ (Round to six decimal places as needed.)

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Problem 1298

9. a. Brianna took out a loan from the bank to buy her first car which costs \$18,000. She will make monthly payments of \$429.56 over 4 years. How many payments will she make over the four years? Hint: 12 months in a year. (Chapter 4, Lesson 3)
\$10000
b. Determine the total amount that Brianna will pay for the car. (Chapter 4, Lesson 3)
c. Determine the amount of interest that Brianna paid the bank. (Chapter 4, Lesson 3)

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Problem 1300

Mr. Sanchez has 100/400/50 liability insurance. He was in an auto accident caused by his negligence. Four people were injured in the accident. They sued in court and were awarded money. One person was ordered $110,000\$110,000, and the other three were awarded $65,000\$65,000 each. How much will the insurance company pay for these lawsuits? 265.83265.83 for both cars 400400

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