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Katyanochek1 [597]
3 years ago
8

Ben has 3.40 consisting of quaters and dimes. How many coins of each kind does he have if he has 22 coins?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:

8 quarters and 14 dimes

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.  

• d+q=22 is an equation representing the total number of coins

• 0.10d+0.25q=3.40 is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get d=22-q. We now substitute this for d in the second equation.

0.10(22-q)+0.25q=3.40\\2.2-0.10q+0.25q=3.40\\2.2+0.15q=3.40

After simplifying, we subtract 2.2 across and divide by the coefficient of q.

2.2+0.15q=3.40\\0.15q=1.20\\q=8

We now know of the 22 coins that 8 are quarters. To find the number of dimes, we subtract 8 from 22 to get 14 dimes.


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What is permutation and combination?

A set of elements can be divided into subsets in two different ways: combination and permutation.

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If the word has 3 different letters  then it is just 26-choose-3 or (26/3).

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If the word has 2 different letters  then it is just 26-choose-2 or (26/2).

The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is  = 4*(26/2).

The word has just 1 distinct letter you have =  (26/1).

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Learn more about  permutation and combination

brainly.com/question/28065038

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5 0
1 year ago
Please this is a test
amid [387]
5

you use the formula a^2+b^2=c^2

a=3, b=4

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square root of 25 is 5.


5 is the answer
7 0
3 years ago
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