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tester [92]
3 years ago
15

Sean has an annual shoe budget of $640. On average, a pair of Jordans cost $160, and a pair of Adidas cost $40.

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

2 combinations using the entire budget would be 3 pairs of Jordans and 4 pairs of Adidas, and 2 pairs of Jordans and 8 pairs of Adidas; 1 combination under budget would be 2 pairs of Jordans and 4 pairs of Adidas; and 1 combination over budget would be 4 pairs of Jordans and 4 pairs of Adidas.

Given that Sean has an annual shoe budget of $ 640 and on average, a pair of Jordans cost $ 160, and a pair of Adidas cost $ 40, to provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget, the following calculations must be made:

Using the entire budget:

  • Combination 1 = 3 x 160 + 4 x 40 = 640 = 3 pairs of Jordans and 4 pairs of Adidas
  • Combination 2 = 2 x 160 + 8 x 40 = 640 = 2 pairs of Jordans and 8 pairs of Adidas
  • Combination 3 = 1 x 160 + 12 x 40 = 640 = 1 pair of Jordans and 12 pairs of Adidas

Under budget:

2 x 160 + 4 x 40 = 480 = 2 pairs of Jordans and 4 pairs of Adidas

Over budget:

4 x 160 + 4 x 40 = 800 = 4 pairs of Jordans and 4 pairs of Adidas

Learn more about combinations in brainly.com/question/8018593

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Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

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Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

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Apply laws of exponent to simplify the terms or expression:

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Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

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Step-by-step explanation:

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