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horsena [70]
3 years ago
14

Dustin has a collenction of quarters and pennies. The total value is $4.65. Th

Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0

Answer:

Dustin has 18 quarters and 15 pennies.

Step By Step Solution:

(See image above)

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9, -3

Step-by-step explanation:

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Two square sheets of cardboard used for making book covers differ in area by 64 square inches. An edge of the larger square is 2
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Answer:

15 inches

Step-by-step explanation:

We assume that the edge of the small square is x (inches).

As the edge of the larger square is 2 inches greater than that of the smaller one, so that the edge of the larger square = edge of the small square  + 2 = x + 2 (inches)

The equation to calculate the are of a square is: <em>Area = Edge^2 </em>

So that:

+) The area of the larger square is: <em>Area large square = </em>(x+2)^{2}<em> (square inches)</em>

+) The area of the smaller square is: <em>Area small square = </em>x^{2}<em>(square inches)</em>

<em />

As difference in area of both squares are 64 square inches, so that we have:

<em>Area large square - Area small square  = 64 (square inches)</em>

<em>=> </em>(x+2)^{2} -x^{2} =64<em />

<em>=>  </em>x^{2}+4x+4  -x^{2} =64<em />

<em>=> 4x + 4 = 64</em>

<em>=> 4x = 64 - 4 = 60 </em>

<em>=> x = 60/4 = 15 (inches)</em>

So the length of an edge of the smaller square is 15 inches

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3 years ago
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Answer:

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