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Novay_Z [31]
3 years ago
5

A sofa is selling for $422.50 after a 35% discount . What was the original price for the sofa ?

Mathematics
1 answer:
lana [24]3 years ago
5 0
Let, the original price = x
Then, it's 100 - 35 = 65% = 422.50

So, x * 0.65 = 422.50
x = 422.50 / 0.65
x = 650

In short, Your Answer would be $650

Hope this helps!
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Step-by-step explanation:

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Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

<u>Let radius of the small sphere = </u>x<u />

<u>As the radius of the large sphere is double the radius of the small sphere:</u>

Then, radius of the large sphere = 2x

To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by  volume of small sphere:-</u></em>

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Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

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=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\  \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\  \times\frac{1}{x^{3} }

\frac{4}{3}\pi\   is \ canceled\  by\  \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }

<u>Now, we have</u>

= \frac{8}{1}

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