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lys-0071 [83]
4 years ago
14

Dustin has only nickels and quarters in his piggy bank. He was 49 total for combined value of $8.85. How many of each type of co

in does he have
Mathematics
1 answer:
Troyanec [42]4 years ago
4 0
Let's use the variables N and Q for the number of nickels and the number of quarters.

We know there are 49 total coins, so we can write the following equation:

N + Q = 49

We can solve this equation for one variable which will help in the next step. Let's solve for N:

N = 49 - Q

Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.

0.05N + 0.25Q = 8.85

Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.

0.05(49-Q) + 0.25Q = 8.85

Distribute and combine like terms.

2.45 - 0.05Q + 0.25Q = 8.85

2.45 + 0.2Q = 8.85

0.2Q = 6.4

Q = 32

Plug 32 in for Q in N + Q = 49 to find the number of nickels.

N + 32 = 49

N = 17

Dustin has 32 quarters and 17 nickels.


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Algebra Find the values for x and y in parallelogram ABCD. AE= x+5, EC=y, DE=2x+3, EB=y+2
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The values of x and y are ⇒ x = 4 and y = 9

Step-by-step explanation:

In a parallelogram

1. Each two opposite sides are equal and parallel

2. Each two opposite angles are equal

3. Its two diagonals bisect each other

In parallelogram ABCD

∵ Its diagonal AC and BD intersect each other at point E

∵ AC and DE bisect each other at E

∴ E is the mid-point of AC

∴ AE = EC

∴ E is the mid-point of BD

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∵ AE = x + 5

∵ EC = y

∵ AE = EC

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∵ EB = y + 2

∵ DE = EB

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Substitute y in equation (2) by equation (1)

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Substitute the value of x in equation (1) to find y

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The values of x and y are ⇒ x = 4 and y = 9

Learn more:

You can learn more about parallelograms in brainly.com/question/6779145

#LearnwithBrainly

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you start with 15 dollars and save 8 dollars each week. What algebraic expression model of the total amount you saved
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15 + 8(7)=x?
15 + 8(x)= x? 
no i think it will be the first one! 
15 + 8(7)= x
hope that helped?!!!
:)
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