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djyliett [7]
3 years ago
15

Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It’s original price is

$60, but everything on the rack comes with a 30 percent discount. Emily says, “thirty percent and twenty percent make fifty percent so ur will cost $30. Is emy correct?
Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0
She’s incorrect I’m pretty sure u divide 20 and 60.
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Given:

The scale factor between two circles is \dfrac{2x}{5y}.

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2

\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}

\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}

Therefore, the correct option is D.

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