Last year scott ate 84 cups of ice cream.how many quarts did he eat?

Mathematics

1 answer:

harina [27]1 year ago

4 0

Answer:

21 quarts

Step-by-step explanation:

1 cup = 1/4 quart

84 cups = 1/4 x 84 quarts

84/4 = 21

84 cups = 21 quarts.

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If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.

Bond [772]

<h3>Answer: y = 12/(x^2)</h3>

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Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

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2 years ago

A cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,46

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The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.

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From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.

Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.

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