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meriva
2 years ago
5

8. A concert charges $10 for each adult ticket and $5 for each child ticket. Sunday, the park collected a total of $1,750

Mathematics
1 answer:
Sphinxa [80]2 years ago
6 0

Do you need both of the equations or just the entire solution?

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

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substitute

V=\frac{1}{3}\pi (6)^{2}(12)

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step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

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In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

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therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

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Step-by-step explanation:

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