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Rufina [12.5K]
3 years ago
12

Rebecca has 45 coins, all nickels and dimes. The total value of the coins is $3.60. How many

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

Rebecca has 18 nickels and 27 dimes

Step-by-step explanation:

Let x be the number of nickels Rebecca has, then 45-x is the number of dimes she has.

The total value of Rebecca's coins is $3.60.

1 nickel - 5 cents

x nickels - 5x cents

1 dime - 10 cents

45-x dimes - 10(45-x) cents

Total x nickels and 45-x dimes is 5x+10(45-x) cents that is $3.60=360 cents. So,

5x+10(45-x)=360

5x+450-10x=360

5x-10x=360-450

-5x=-90

5x=90

x=18

45-x=45-18=27

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Answer:

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Step-by-step explanation:

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5 0
1 year ago
Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the g
Novay_Z [31]

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Given

Goal = 3585

Collected = 21\%

Kurt= 10\% * 3600 * 2

Maria = \frac{1}{5} * 3600

Required [Missing from the question]

Who is correct and why?

First, we calculate the actual amount collected.

Actual = Collected * Goal

Actual = 21\% * 3585

Actual = 752.85

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Estimate = 20\% * 3600

Estimate = 720

Next, calculate Kurt and Maria's estimates

Kurt= 10\% * 3600 * 2

Kurt = 720

Maria = \frac{1}{5} * 3600

Maria = 720

<em>Hence, Kurt and Maria are correct because of option (d)</em>

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Step-by-step explanation:

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So to get the dimensions of the smaller from the bigger or larger triangle, we proceed to divide what we have on the larger triangle by 3

Kindly note that we do this for the comparable sides

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30/3 = 10

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