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Hunter-Best [27]
3 years ago
5

A carpenter is refinishing two cupboards. She must add the areas of the cupboards to determine the amount of plywood she needs.

The area of the first cupboard is modeled by 3a^2 − 5y + 15, and the area of the second cupboard is modeled by 4a^2 + 5y + 5. Identify the polynomial that represents the total area of the cupboards.
Mathematics
1 answer:
Vesna [10]3 years ago
5 0

You are given the area of both cupboards.

The total area would be found by adding the two areas together:

3a^2 − 5y + 15 + 4a^2 + 5y + 5

Combine like terms:

3a^2 + 4a^2 = 7a^2

-5y + 5y = 0y

15 +5 = 20

The area of both cupboards would be 7a^2+20

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Answer:

Maximum height of quarter tower = 9.6 inches.

Step-by-step explanation:

The thickness of a quarter = \frac{1}{5} inches

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<u>The conversion factor for ounce to pound is 1 ounce = 0.0625 pound</u>

The number of quarter used in the tower = no of ounces equivalent to 3 pounds.

No of ounces equivalent to 3 pounds = \frac{3}{0.0625}

No of ounces equivalent to 3 pounds = 48

So the height of quarter tower = 48 \times \frac{1}{5} inches

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3 years ago
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3 years ago
The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20
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Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

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To solve for x,  subtract 20 on both sides, we get

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Divide 0.40 on both sides, we get

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Thus, they can order from 0 to 449 bars, but no more.

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2 years ago
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