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3 years ago

(7.5)What is the value of x?

Mathematics

1 answer:

koban [17]3 years ago

6 0

Answer:

D 5

Step-by-step explanation:

the same scaling factor s applies to all sides when transforming from the small to the large triangle.

x×s = x + 5

(x-2)×s = x +1

=> s = (x+5)/x

=> (x-2)×(x+5)/x = x + 1

=> x² + 3x - 10 = x² + x

=> 3x - 10 = x

=> 2x = 10

=> x = 5

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The baker bought 7 gala apples, and 12 granny smiths apples

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Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

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Cost of 1 granny smith apple = $ 0.25

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Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

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Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

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0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

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Substitute y = 12 in eqn 3

x = 19 - 12

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