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pychu [463]
2 years ago
13

Determine the value of x

Mathematics
1 answer:
Artemon [7]2 years ago
3 0

Answer:

21

Step-by-step explanation:

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For for every ten sheets of stickers you buy at a craft store the total cost increases $20.50
Len [333]

The equation which relates the change in price per sticker purchased is y = 2.05x

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  • Price change = $20.50

The change in price per sticker purchased can be expressed as :

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Therefore, the required equation which related y and x is :

y = 2.05x

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3 0
2 years ago
A jar is filled with only dimes and quarters. The jar contains a total of 60 coins and the value of the jar is $11.25. How many
inessss [21]

Answer:

35 quarters

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=60 is an equation representing the total number of coins
  • 0.10d+0.25q=11.25 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=60-q. We now substitute this for d in the second equation.

0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25

After simplifying, we subtract 6 across and divide by the coefficient of q.

6+0.15q=11.25\\0.15q=5.25\\q=35

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

3 0
3 years ago
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