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Marina CMI [18]
3 years ago
11

The lengths and widths of two rectangles are proportional. One

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

The width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.

<u>Explanation:</u>

Given:

Two rectangles are proportional.

Length and width of 1 rectangle = 6 : 8

Dimensions of the other rectangle = ?

Let length and width of the other rectangle be x : y

According to the question:

\frac{6}{8} :\frac{x}{y}

\frac{6}{8} X \frac{y}{x}

So, the width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.

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Amy's grandmother gave her 3 identical chocolate chip cookies and 4 identical sugar cookies. In how many different orders can Am
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chocolate chip cookie first: 15 ways

chocolate chip cookie last: 15 ways

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Step-by-step explanation:

There is a total of 7 cookies.

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So, to find the number of different orders that Amy can eat the remaining cookies, we just need to calculate a combination of 6 choose 2 (that is, the number of ways we can put the 2 chocolate cookies among the 6 cookies) or a combination of 6 choose 4 (same thing, but for the sugar cookies):

C(6,2) = 6! / (2! * 4!) = 6 * 5 / 2 = 15 ways

Is she eats a chocolate cookie last, she will have 2 chocolate cookies and 4 sugar cookies (6 in total), so the problem is solved again with a combination of 6 choose 2:

C(6,2) = 15 ways

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