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earnstyle [38]
4 years ago
14

You buy a cylindrical container of salt with a diameter of 3.25 inches and a height of 5 inches. Your salt shaker is a cylinder

with a diameter of 1 inch and a height of 1.5 inches. How many times can you fill your salt shaker with the container! Round your answer to the nearest whole number.
Mathematics
1 answer:
Sphinxa [80]4 years ago
3 0
First calculate volume of the cylindrical container: Pi * R2 * H; where Pi is 22/7 or 3.147, R is the radius and H is the height of the container.

Vol of the cylindrical container: 3.147 * (3.25/2) * (3.25/2)* 5 = 41.55 inch 3

Volume of the shaker using the above principle:
3.147 * (1/2) * (1/2) * 1.5 = 1.18 inch 3

Number of times it can fill the salt shaker will be the ratio of the volumes:

= Volume of the cylindrical container divided by the volume of the shaker = 41.55 divided by 1.18

Answer is 35 times if rounded in absolute number.
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3 years ago
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A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6
OlgaM077 [116]

Answer:

  • <u><em>P = 0.40x + 0.50y</em></u>

Explanation:

The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.

Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.

Then:

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The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

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That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

7 0
3 years ago
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Answer: 9 hours
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7 less than twice a number.
tino4ka555 [31]

Answer:

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