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Answer: The number of different ways she could arrange the carpet squares is 36!.
Step-by-step explanation:
We know that , the number of ways to arrange n things = n!
Given that , Your teacher has 36 carpet squares.
i.e. The total number of carpet squares = 36
If she needs to make a new arrangement for the reading carpet.
Then, the total number of arrangement of carpet squares would be 36!.
Hence , the number of different ways she could arrange the carpet squares is 36!
The given ratio of powder to water is 3:2 based on weight for Kool-aide. It is also given that 120g of flavored powder is needed for a certain amount of Kool-aide.
Let us assume that the amount of water (by weight) required to maintain the given ratio of 3:2 be represented by the letter 
. Thus, from the given information we can conclude that:
Cross-multiplying we get:
grams.
Thus, the amount of water in grams in that Kool-aide is 80 grams.
The possible values of x are 3 and 7
<h3>Solving rational expressions</h3>
Given the rational expression below;
√60-8x = x - 9
Square both sides to have:
(60-8x)² = (x-9)²
60-8x = x²-18x+81
Equate to zero to have;
x²-18x+81 - 60 + 8x = 0
x² - 10x + 21 = 0
x² -3x-7x +21 = 0
x(x-3)-7(x-3) = 0
x = 3 and 7
Hence the possible values of x are 3 and 7
Learn more on rational expression here: brainly.com/question/25292194
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Answer:
-1y² the rest is right
Step-by-step explanation:
