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Virty [35]
3 years ago
12

8/6 = x + 2/32Solve for X Show work and answer can't be put into decimal form

Mathematics
1 answer:
yuradex [85]3 years ago
5 0
<span>8/6 = x + 2/32

To solve this, you need to subtract 2/32 from both sides. To do that though, the two fractions need to have a common denominator.

2/32 can be simplified to 1/16.

The lowest denominator they have in common is 48.
1/16 = 3/48
8/6 = 64/48

Now subtract them.
</span>(64/48) - (3/48) = 61/48

That cannot be simplified, so it's the final answer.
x = 61/48
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A circular pool measures 10 feet across. one cubic yard of concrete is to be used to create a circular border of uniform width a
mina [271]

we know that

1 ft is equal to 12 in

1 cubic yard is equal to 27 cubic​ feet

Step 1

<u>Find the area of the circular border of uniform width around the pool</u>

Let

x---------> the uniform width around the pool    

we know that

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the radius r=5 ft

the area of the circular border is equal to

A=\pi *(5+x)^{2}- \pi *5^{2} \\A= \pi *[(x+5) ^{2}-5^{2} ] \\ A= \pi * [x^{2} +10x]

step 2

volume of the concrete to be used to create a circular border is equal to

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V=27 ft^{3} -------> equation 1

the depth is equal to 4 in-------> convert to ft

depth=4/12=(1/3) ft

volume of the concrete to be used to create a circular border is also equal to

V=Area of the circular border*Depth

V= \pi * [x^{2} +10x]*(1/3) -------> equation 2

equate equation 1 and equation 2

27=\pi * [x^{2} +10x]*(1/3) \\ x^{2} +10x- \frac{81}{\pi }=0

using a graph tool------> to resolve the second order equation

see the attached figure

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therefore

<u>the answer is</u>

The uniform width around the circular pool border is 2.126 ft

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3 years ago
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