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Pavlova-9 [17]
2 years ago
9

Which value is equivalent to 3/11? OA A. 0.27 O B. 0.27 OC C. 3.6 OD. 3.

Mathematics
1 answer:
Sladkaya [172]2 years ago
4 0

Answer:

0.27 repeating.

Step-by-step explanation:

So to solve this we just have to use division.

1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.

11 goes into 30 2 times, so we have:

0.2

and 30-22=8

So we can add another 0 and make it 80.

Then 11 goes into 80 7 times. So we have:

0.27

and 80-77=3

So again, add the 0, we have 30.

11 goes into 30 2 times, so:

0.272

and 30-22=8

Add another 0 we get 80.

11 goes into 80 7 times.

So finally, we have:

0.2727.

This is a repeating decimal.

This can be shown as:

0.<u>27</u>

So this is your answer!

I was a bit confused with which one it was on your answer key, but knowing that it is 0.<u>27</u> I am guessing you can chose!

Hope this helps!

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Answer:

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Step-by-step explanation:

Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.

Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²

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The rate of change of volume is thus

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Since dV/dt = 15 ft³/min,

dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min

Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt

= -dx/dt

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= 7.5 ft³/min

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2 years ago
28. What is the solution to 12-(2x+6) = -4x +10 +2(x-8) *
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Step-by-step explanation:

Well to find the prime factor we make the prime factorization tree.

Look at the image below↓

<em>Thus,</em>

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<em>Hope this helps :)</em>

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