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pickupchik [31]
2 years ago
15

Juan divides the 75 minutes that the kangaroo contest lasts, devoting a time proportional to the points it is worth to each prob

lem. How much time do you spend on each 5-point problem?
Mathematics
1 answer:
raketka [301]2 years ago
8 0

Using proportions, it is found that Juan spends 15 minutes on each 5-point problem.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and is solved using a rule of three.

In this problem, the amount of time is proportional to the amount of points the problem is worth. Hence, for a 5-point problem, in a 75-minute time, the time is given by:

t = 75/5 = 15 minutes.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Answer:

1 7/8 and 5/4

Step-by-step explanation:

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2 11/32

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Help me please solve the circled question show your work
Rasek [7]

<u>Part 1)</u> Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches

therefore

<u>the answer Part 1a) is</u>

84\ inches

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

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so

Convert 3 feet to inches

by proportion

\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches    

therefore

<u>the answer Part 1b) is</u>

36\ inches

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5    

therefore

<u>the answer Part 2) is</u>

\$10.5

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

 we know that

<u>Find the cost of the bananas</u>

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<u>Find the cost of the apples</u>

5\ pounds*1.40\frac{\$}{pounds}=\$7

Sum the cost of the bananas and the cost of the apples

\$4+\$7=\$11

\$11 > \$10------> Janice's mother didn't give her enough money

She needs more money

She needs-------> \$11-\$10=\$1

therefore

<u>the answer part 3) is</u>

She needs  \$1 more


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