Ratios & Proportions

Problem 1401

Calculate moles of water needed for 0.065 mol0.065 \mathrm{~mol} of glucose (C6H12O6)\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right).

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Problem 1403

Harry drove from 23,499.7 miles to 23,847.9 miles using 15.9 gallons. Calculate his miles per gallon (round to nearest tenth).

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Problem 1404

How many yards is 1,000 feet as a mixed number, knowing there are 3 feet in a yard?

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Problem 1405

Corey bought 2122 \frac{1}{2} liters of paint for \$60. Find the cost per liter.

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Problem 1406

Calculate the density of an ebony carving with mass 246g246 \, \text{g} and volume 207cm3207 \, \text{cm}^3 using the formula density=massvolume\text{density} = \frac{\text{mass}}{\text{volume}}.

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Problem 1407

1. Francine types 3600 words/hour. How many words in 3 minutes?
3600 words60 mins=x3 minx=180 \frac{3600 \text{ words}}{60 \text{ mins}}=\frac{x}{3 \text{ min}} \Rightarrow x=180
2. If 34\frac{3}{4} of Silver Fitness members are female, find the female to male ratio.

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Problem 1408

Nathan eats 27 pretzels in 3 minutes. How long for 378 pretzels? Also, what's the ratio of right-handed to left-handed players in Matt's club?

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Problem 1409

The baker uses a pan of 158ft21 \frac{5}{8} \mathrm{ft}^{2} for 26 rolls. Find the area per roll. Show your work.

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Problem 1410

What is the relationship between grams and micrograms in terms of conversion? 1 gram = 10610^6 micrograms.

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Problem 1411

The first organ weighs 4 pounds and the second weighs 0.3 pounds. How many times heavier is the first organ than the second?

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Problem 1412

How many liters of soft drink are in 5.25 containers if each container holds xx liters? Total = 5.25x5.25x.

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Problem 1413

If 5.00lb5.00 \mathrm{lb} of potatoes is \$3.60, what is the cost for 1.30 kg of potatoes?

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Problem 1414

Infuse 3,000 mL3,000 \mathrm{~mL} IV fluid in 24 hours (15 gtt/mL). Administer 500mg500 \mathrm{mg} ampicillin in 100 mL100 \mathrm{~mL} NS over 30 min (10 gtt/mL).

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Problem 1415

Find the mass of lead if its density is 11.3 g/mL11.3 \mathrm{~g} / \mathrm{mL} and the water level rises from 206 mL206 \mathrm{~mL} to 281 mL281 \mathrm{~mL}.

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Problem 1416

Infuse 1000 mL of 0.9% Normal Saline in 8 hours with a drop factor of 1515 gtt/mL\mathrm{gtt} / \mathrm{mL}.

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Problem 1417

Infuse 3,000 mL IV fluid in 24 hours with a drop factor of 15 gtt/mL.

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Problem 1418

Infuse 1000 mL1000 \mathrm{~mL} NS (0.9\% Normal Saline) in 8 hours. Drop factor is 1515 gtt/mL\mathrm{gtt} / \mathrm{mL}.

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Problem 1419

What do you multiply "moles of iodine" by to get "grams of iodine"? Use: moles I ×=grams I \times \overline{ }=\operatorname{grams~I~}. Choose from: 127 grams I, 1 gram I, 1 mole I, 127 moles I.

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Problem 1420

Rosa and Cassandra work for a publishing company. Each week they write humorous comments and blogs on the company's review section of its website. Rosa posts under the blog title Cleverish, and Cassandra posts under the title Writing Lively. They are each assigned a set number of posts each week. The double number line shows the number of posts under Cleverish and the number of posts under Writing Lively.
Use the double number line to calculate the unknown values.
1. How many new posts will appear under Writing Lively this week if there are 128 new posts under Cleverish?
144 posts by Writing Lively I want to do the optional double number line tasks.
2. Suppose that Writing Lively shows 360 posts for this week. How many posts does Cleverish show for this week? posts by Cleverish I want to do the optional double number line tasks.

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Problem 1421

Calculate the energy content of a 1 Liter parenteral solution that provides 140 grm dextrose monohydrate, 45 grm Amino Acids and 90 mL of 20% lipid emulsion.
920 calories 836 calories 744 calories 1,029 calories

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Problem 1422

4. An art teacher uses 1 quart of blue paint each month. In one year, how many gallons of paint will she use?

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Problem 1423

Question 5 Not yet answered Marked out of 1 Flag question
After 30 baseball games, A-Rod had 25 hits. If after 100 games, he had 80 hits, what is his average number of hits per game?
If you answer in decimal form, round to the nearest hundredth.
Answer: \square\square \square 9\sqrt[9]{\square} \square \binom{$ ㅁㅁㅣ }{0} \square \square$

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Problem 1424

7 A nutrition label states that there ore 36 g of carbohydrates in each serving. This accounts for 12%12 \% of the daily value. How many grams of carbohydrates are recommended per day?

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Problem 1425

Franklin can jog approximately 2,000 meters in 4 minutes. Express this rate as a unit rate.
800 meters per minute
500 meters per minute
4,000 meters per 8 minutes
300 meters per 5 minutes

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Problem 1426

Express 55 miles per hour in kilometers per hour. km/hr (Round to the nearest whole number as needed.)

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Problem 1427

5) A researcher conducted a survey of 150 college students regarding their use of meditation, yoga, or mindfulness apps to manage stress. The students were asked whether they experienced stress or no stress over the past month. The findings are presented in a table that outlines the stress levels associated with each type of stress management practice.
| | No Stress | Stress | Total | |----------------|-----------|--------|-------| | Meditation | 55 | 20 | 75 | | Yoga | 32 | 16 | 48 | | Mindfulness App | 14 | 13 | 27 | | Total | 101 | 49 | 150 |
A. What proportion of college students in the survey used the mindfulness app? B. What proportion of college students who used yoga reported having no stress? C. What proportion of college students who reported having stress used meditation?

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Problem 1428

Question Brooklyn is trying to pick out an outfit for the first day of school. She can choose from 6 pairs of pants, 8 t-shirts, 3 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Brooklyn have to choose from? Answer

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Problem 1429

A certain mutual fund has net assets of $1,359,600\$ 1,359,600. One share of this fund has a net asset value of $11.33\$ 11.33. How many shares make up the fund? a. 833 b. 120,000 c. 1,359,6001,359,600 d. 15,404,26815,404,268
Please select the best answer from the choices provided

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Problem 1430

a) What is the width, in metres, of the building in real life? b) The real building is 6.86.8 m tall. What is the height of the drawing of the building, in centimetres? 00 11 22 33 44 55 66 77 88 99 1010

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Problem 1431

Consumer Mathematics 0,5 Cynth Computing the total cost and interest for a loan
The Perrys bought a $291,000\$ 291,000 townhome. They made a down payment of $42,000\$ 42,000 and took out a mortgage for the rest. Over the course of 30 years they made monthly payments of $1492.89\$ 1492.89 on their mortgage until it was pald off. (a) What was the total amount they ended up paying for the townhome (including the down payment and monthly payments)? \$ [ (b) How much Interest did they pay on the mortgage? \$ Explanation Check Q2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Acce:

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Problem 1432

1. Teagan had 4 tridesmaids at her wedding. Kristen had twice that many. THow many tridesmaids did Kristen have?
2. One mom took 3 bottles on a trip for her baby to drink. The other mom took 4 times that many. How many bottles did the 2 nd mom pack?
3. The nicest math teacher gave out 3 pages of math homework for the week. The other math teacher gave out 3 times that many pages. How many math pages did the tougher teacher give to the class?
4. Mr. Machad 7 coins in his pocket to use at the vending machines. Mrs. Mac had 7 times that many. How many coins did Mrs. Mac have to use?
5. Jerome had 6 cookies. His dad had 7 times that many. How many cookies did Jerome's dad have?
6. The ice cream shop had 7 dirty ice cream bowls and 63 clean ones. How many times more clean bowls did they have than dirty ones? (c) Teachin

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Problem 1433

7.5.IP-11 Caitlyn is tiling her kitchen wall with two types of traditional hand-painted Mexican tiles. If she uses 58 flower tiles, how many sun tiles does she need to maintain the pattern?
Flower Tiles | Sun Tiles ---|--- 30 | 15 38 | 19 42 | 21 58 | ?
She needs \boxed{} sun tiles to maintain the pattern. (Type a whole number.) Enter your answer in the answer box and then click Check Answer. All parts showing Question Help Clear All Check Answer

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Problem 1434

A real estate agent has $587\$587 to spend on newspaper ads. If each ad costs $8\$8, about how many ads will the real estate agent be able to buy? Choose the better estimate. 100 70

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Problem 1435

Find the conversion factor xx to convert grams of Bromine (Br) to moles using its molar mass of 79.9 g/mol.

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Problem 1436

Calculate the drip rate in gtt/min for a fluid volume of V=100mLV = 100 \, \text{mL} infused over T=30minutesT = 30 \, \text{minutes} with D=10gtt/mLD = 10 \, \text{gtt/mL}.

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Problem 1437

Calculate the infusion rate in drops per minute (gtt/min) for 500mg500 \mathrm{mg} ampicillin in 100 mL100 \mathrm{~mL} over 30 minutes with a drop factor of 10gtt/mL10 \mathrm{gtt}/\mathrm{mL}.

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Problem 1438

In Amanda's class, the ratio of students with widow's peaks to those without is 3:2. With 35 students, how many lack widow's peaks? 32wp=35 \frac{3}{2} w p=35

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Problem 1439

In a class of 32 students with a junior to senior ratio of 5:3, how many are seniors? (A) 3 (B) 8 (C) 9 (D) 1 (E) 20

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Problem 1440

Hornear un pavo a 3/43/4 de hora por libra y cuarto. ¿Cuánto tiempo para un pavo de 7 y 1/21/2 libras?

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Problem 1441

Find the unit rate of snowfall in Montreal if it snowed 20 inches in 10 days.

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Problem 1442

Convert the following using dimensional analysis: 175 lbs to kg, 2 days to seconds, and 38821 yen to dollars at \$1=102.70 yen.

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Problem 1443

A flask weighs 17.4916 g17.4916 \mathrm{~g} empty. With water, it weighs 43.9616 g43.9616 \mathrm{~g}. What is its mass with heavy water (1.1053 g/mL1.1053 \mathrm{~g/mL})?

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Problem 1444

Find two equations that equal 48 using multiplication, similar to: 48=14848 = 1 \cdot 48, 48=22448 = 2 \cdot 24.

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Problem 1445

Find the average car production rate if a factory makes 200 cars in 8 hours and 45 cars in 2 overtime hours.

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Problem 1446

A bushwalker walks 10 km10 \mathrm{~km} in 2 hours, rests for 30 min, then walks 8 km8 \mathrm{~km} in 2 hours. Find avg speed.

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Problem 1447

Jason eats 10 ounces of candy in 5 days. Find his daily consumption in pounds and time to eat 1 pound.

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Problem 1448

Indicate if Ratio AA equals Ratio BB by placing an XX in the Yes or No column for each pair of ratios.

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Problem 1449

Place an XX to show if Ratio AA equals Ratio BB:
1. 8/108/10 vs 4/54/5
2. 15/4015/40 vs 3/103/10
3. 3/63/6 vs 1/21/2

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Problem 1450

Reyna needs to make 4 batches of punch using 12 ounces of orange juice each. How many quarts is that?

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Problem 1451

A fire engine's tank has 750 gallons. If 250 gallons are removed in 5 minutes, find the change in gallons per minute.

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Problem 1452

Find the density of an object with mass 15 g15 \mathrm{~g} and volume 5 cm35 \mathrm{~cm}^{3}. Include the unit.

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Problem 1453

10 Multiple Choice 1 point In a parking garage, there are 5 cars for every 4 SUVs. Based on this ratio, how many cars and SUVs could be in the parking garage? 80 SUVs and 64 cars 72 SUVs and 90 cars 25 SUVs and 15 cars 84 SUVs and 126 cars

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Problem 1454

3. If you have 5,000. Food Calories to spend, how long could you keep a 75 Weat light bulb lit? Cive your answer in hours.

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Problem 1455

4. A train traveled 325 miles in 5 hours. What was the train's average rate of speed in miles per hour?

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Problem 1456

A bag contains green tokens and black tokens. There are 36 green tokens in the bag. The ratio of green tokens to black tokens is 3 for every 4 . Find the number of black tokens in the bag. \square black tokens

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Problem 1457

19 A mixture of sand and cement is to be used to plaster a wall. In the original mixture, the ratio of sand to cement by weight is 3:13:1. Given that the weight of sand used is 9 kg, (a) write down the weight, in kg, of cement used in the original mixture. _______ kg (1) It is decided to use the same weight of cement but to change the ratio of sand to cement by weight to 5:15:1 for a new mixture. (b) Calculate the weight of sand, in kg, that has to be added to the original mixture to make the new mixture.

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Problem 1458

If a DNA double helix is 100 nucleotide pairs long and contains 25 adenine bases, how many guanine bases does it contain? 50 200 75 150 25

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Problem 1459

QUESTION 17
What is the gram formula mass (GFM) of Al(OH)3Al(OH)_3?
a. 78 g b. 44 g c. 43 g d. 61 g

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Problem 1460

athematics
Practice with ratios, unit rates, and proportional reas
One T-shirt is sold for every 5 people who attend a concert. What is the ratio of people to T-shirts sold? The ratio of people to T-shirts sold is \square to \square

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Problem 1461

TSIA2-Mathematics Assignment Active Finding a Total Cost
Tickets to a hockey game cost $35\$ 35 each. What is the total cost for 5 tickets? \$120 \$150 \$165 \$175

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Problem 1462

Assignment Active
Solving a Problem 2,200 people enter an amusement park every hour. How long will it take for 6,600 people to enter the park? \square hours

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Problem 1463

Unit Rates Assignment Active Explaining a Solution Method
A car travels 0.75 miles every minute. Explain how you could use proportional reasoning to find how far the car travels in one hour.

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Problem 1464

ninute. Explain how you ig to find how far the car \qquad
Sample Response: Identify the unit rate as 0.75 miles per 1 minute. Since there are 60 minutes in an hour, multiply 0.75 time 60 to find how far the car travels in one hour.
Which facts did you include in your answer? Check all that apply. The unit rate is 0.75 miles per minute. There are 60 minutes in an hour. You can multiply 0.75 by 60 to find how far the car travels in one hour.

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Problem 1465

Sample Response: Identify the unit rate as 0.75 miles per 1 minute. Since there are 60 minutes in an hour, multiply 0.75 time 60 to find how far the car travels in one hour. Which facts did you include in your answer? Check all that apply. The unit rate is 0.75 miles per minute. There are 60 minutes in an hour. You can multiply 0.75 by 60 to find how far the car travels in one hour.

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Problem 1466

Unit Rates Quiz Active 1 (2) 3 1 5. 5 1 8 98 10 TIME REMAINING 59:50
A car can travel 38 miles on each gallon of gasoline. At that rate, how many gallons of gasoline will it take to travel 190 miles? 2 5 20 50

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Problem 1467

Unit Rates Quiz Active 1 2 3 4 5 6 7 8 9 10
Caleb types 100 words in 5 minutes. What is the unit rate? 100 words to 5 minutes 5 minutes per 100 words 20 words per minute 1 minute to 20 words

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Problem 1468

Unit Rates Quiz Active 1 2 3 4 5 6 7 8 9 10 TMEREMAINIIG 56:00
Fuad's model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like the one shown below. \begin{tabular}{|c|c|c|c|c|} \hline \multicolumn{5}{|c|}{ Speed of Model Race Car } \\ \hline Distance (ft.) & 3 & & & \\ \hline Time (s) & 1 & & & \\ \hline \hline \end{tabular}
At this rate, how long will it take the car to travel 21 feet? 3.0 seconds 6.3 seconds 7.0 seconds 14.3 seconds Mark this and return Save and Exit Next Submit

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Problem 1469

QUESTION 3 2 points Save An Rachel decided to have bouncy balls as a party favor. She determines that her ratio of bouncy balls to guests is 9:3. Explain how to find the number of bouncy balls needed for 30 guests. Then find out how many bouncy balls total she will need. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

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Problem 1470

Feet are a measurement of: A length B volume C time D weight E temperature

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Problem 1471

A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes this proportion: 46=2416\frac{4}{6}=\frac{24}{16}
Explain the error in the student's work

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Problem 1472

VT-TXCTSi2-Mathenatios-In xx rot correlaamedgenuitycom/playen)
A recipe for pie crust calls for 2/32 / 3 cup of water for every 3 cups of flour. If you doubled the recipe, you would need 1 1/31 / 3 cups of water for 6 cups of flour. Which proportions involving complex fractions could represent these ratios? Check all that apply. 2/35=4/33\frac{2 / 3}{5}=\frac{4 / 3}{3} 2/33=4/36\frac{2 / 3}{3}=\frac{4 / 3}{6} 62/3=34/3\frac{6}{2 / 3}=\frac{3}{4 / 3} 64/3=32/3\frac{6}{4 / 3}=\frac{3}{2 / 3} Done Intro sActily Type here to search

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Problem 1473

ro7.core.learn.edgenuity.com/player/ thematics
Using a Rate Table to Solve a Proportion \begin{tabular}{|c|c|} \hline Pages & Hours \\ \hline 4/34 / 3 & 1/41 / 4 \\ \hline 8/38 / 3 & 1/21 / 2 \\ \hline 4 & 3/43 / 4 \\ \hline 16/316 / 3 & 1 \\ \hline 20/320 / 3 & 5/45 / 4 \\ \hline 8 & 3/23 / 2 \\ \hline 28/328 / 3 & \\ \hline 32/332 / 3 & \\ \hline \end{tabular}
Lee can type 11/311 / 3 pages every 15 minutes. How many hours does it take him to type 102/3102 / 3 pages? Complete the rate table to solve the proportion.  pages  hours 4314=323x\frac{\text { pages }}{\text { hours }} \rightarrow \frac{\frac{4}{3}}{\frac{1}{4}}=\frac{\frac{32}{3}}{x}
Lee can type 102/3102 / 3 pages in Intro Done

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Problem 1474

Proportions Instruction Active Using a Rate Table to Solve a Proportion \begin{tabular}{|c|c|} \hline Pages & Hours \\ \hline 4/34 / 3 & 1/41 / 4 \\ \hline 8/38 / 3 & 1/21 / 2 \\ \hline 4 & 3/43 / 4 \\ \hline 16/316 / 3 & 1 \\ \hline 20/320 / 3 & 5/45 / 4 \\ \hline 8 & 3/23 / 2 \\ \hline 28/328 / 3 & \\ \hline 32/332 / 3 & \\ \hline \end{tabular}
Lee can type 11/311 / 3 pages every 15 minutes. How many hours does it take him to type 102/3102 / 3 pages? Complete the rate table to solve the proportion.  pages 43 hours 14=323x\frac{\text { pages } \rightarrow \frac{4}{3}}{\text { hours } \rightarrow \frac{1}{4}}=\frac{\frac{32}{3}}{x}
Lee can type 102/3102 / 3 pages in \square hours. 13/413 / 4 2 21/421 / 4 21/221 / 2

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Problem 1475

A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of be and 6 potatoes. Which proportion represents the situation? 2 O ㅇ-ㅎ 1 6

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Problem 1476

rroportions Assignment Active
Interpreting a Proportion
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to inclur and 6 potatoes. Given that the proportion 13=26\frac{1}{3}=\frac{2}{6} represents the situation, which of these statements are true? Check all that apply. The numerators represent the number of potatoes. The numerators represent the pounds of beef. The denominators represent the pounds of beef. The denominators represent the number of potatoes.

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Problem 1477

Writing a Proportion
The recipe for beef stew calls for 1/41 / 4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used pepper is needed?
Which proportion represents this problem? 1/439p\frac{1 / 4}{3}-\frac{9}{p} 1/43p9\frac{1 / 4}{3}-\frac{p}{9} 1/493p\frac{1 / 4}{9}-\frac{3}{p} 114p=93\frac{114}{p}=\frac{9}{3}

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Problem 1478

The recipe for beef stew calls for 1/41 / 4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?
Solve the proportion 1/43=p9\frac{1 / 4}{3}=\frac{p}{9} to answer the question. Explain your steps

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Problem 1479

Understand Unit Rate - Quiz - Level F
As a part of its diet, a Pacific seahorse eats about 56 shrimp per week. It eats the same amount each day.
How much shrimp does the Pacific seahorse eat per day? Complete the statement with the unit rate.
The Pacific seahorse eats \square shrimp per day.

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Problem 1480

Question 11 (1 point) You purchased a new washer and dryer for \1,263.02(includingsalestaxanddelivery).Financingwasusedforthefullpurchasepriceandthepaymentsare1,263.02 (including sales tax and delivery). Financing was used for the full purchase price and the payments are \142.53 142.53 per month for 12 months. What is the cost for the loan (interest paid)?

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Problem 1481

3. Consider the following statement: "A rise in the dollar price of euros necessarily means a fall in the euro price of dollars." This statement is a) true, because if it takes more dollars to purchase one euro, then it takes fewer euros to buy a dollar. b) true, because if it takes more dollars to purchase one euro, then it takes more euros to buy a dollar. c) false, because if it takes more dollars to purchase one euro, then it takes more euros to buy a dollar. d) false, because if it takes more dollars to purchase one euro, then it takes fewer euros to buy a dollar.|

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Problem 1482

Write the ratio of olives to pepperonis using 20 olives and 25 pepperonis.

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Problem 1483

Find an equivalent ratio for the fraction 75\frac{7}{5}.

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Problem 1484

Ruben runs 16 miles in 4 days and Claire runs 12 miles in 3 days. Are their speeds equal? Answer "1" for yes or "2" for no.

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Problem 1485

What is the fraction form of the ratio 5:25:2?

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Problem 1486

Albie has 30 students, 7 in green. What ratio is she using: 730 \frac{7}{30} ?

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Problem 1487

Calculate the usual dose of Ibuprofen in mg for an 18-month-old child weighing 25 pounds (5 mg/kg for fever < 102.5°F). Round to the nearest mg.

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Problem 1488

Find the unit price of an 18-ounce can of orange juice that costs \$3.78 in cents per ounce.

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Problem 1489

Are the purple paint ratios of Aria's 7tbsp7 \mathrm{tbsp} blue to 2tbsp2 \mathrm{tbsp} red and Cody's 21tbsp21 \mathrm{tbsp} blue to 6tbsp6 \mathrm{tbsp} red equivalent?

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Problem 1490

Calculate the price per diaper in cents for Brand A (36 diapers, \$11.49) and Brand B (45 diapers, \$12.49). Round to the nearest tenth. Which is cheaper?

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Problem 1491

Calculate the cost per minute for a \$80 monthly phone service with 1825 minutes. Round to the nearest tenth of a cent.

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Problem 1492

Calculate the unit rate for 8 lbs at \$6.19. Round to the nearest hundredth if needed.

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Problem 1493

Calculate the price per diaper in cents for Brand A (32 diapers, \$10.49) and Brand B (45 diapers, \$13.99). Round to the nearest tenth of a cent. Which brand is cheaper?

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Problem 1494

Calculate the energy needed to heat 6900 g of copper from 15.88°C to 27.87°C using specific heat 0.3850J/(g°C)0.3850 \, \text{J/(g°C)}.

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Problem 1495

How many days to lose 5.0lb5.0 \mathrm{lb} if burning 3500kcal3500 \mathrm{kcal} equals 1.0lb1.0 \mathrm{lb}? Round to two significant figures.

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Problem 1496

Convert a density of 9.45 g/L9.45 \mathrm{~g} / \mathrm{L} to g/mL\mathrm{g} / \mathrm{mL}.

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Problem 1497

What is the mass of 3.55 mL3.55 \mathrm{~mL} of mercury with a density of 13.6 g/mL13.6 \mathrm{~g} / \mathrm{mL}?

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Problem 1498

Convert 88 feet to yards and round to the nearest tenth using the conversion 1 yard=3 feet1 \text{ yard} = 3 \text{ feet}.

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Problem 1499

Find the mass of 45 mL45 \mathrm{~mL} of lead with a density of 11.3 g/mL11.3 \mathrm{~g} / \mathrm{mL}.

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Problem 1500

Convert 2100 grams to ounces, rounding to the nearest tenth using the given conversion factors.

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