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Leni [432]
3 years ago
6

sarah is training for a bike race. she rides her bike 5 3/4 miles in 1/3 hour. what is sarahs's rate in miles per hour?

Mathematics
2 answers:
Helga [31]3 years ago
8 0
Hey there!

Since it is 1/3 of an hour for 5 3/4 miles, multiply 5 3/4 x 3 . . .

5 3/4 = 23/4

3 = 3/1

23 x 3 = 69
4 x 1 = 4

Simplifying 69/4 . . .

69/4 = 17 1/4 <-----------

Sarah's rate is 17 1/4 miles per hour.

Hope this helps you.
Have a great day!
dolphi86 [110]3 years ago
7 0
Sarah covers 17 1/4 miles per hour.

Hope this helps!
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Answer:

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Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

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we have

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substitute

(1/2)^{3}=\frac{x}{y}

(1/8)=\frac{x}{y}

x=\frac{y}{8}

therefore

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Verify

The volume of the original sphere is

r=18/2=9\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (9)^{3}=972\pi \ cm^{3}

the volume of the reduced sphere is

r=9/2=4.5\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (4.5)^{3}=121.5\pi \ cm^{3}

Divide the volumes

972\pi \ cm^{3}/121.5\pi \ cm^{3}=8

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