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S_A_V [24]
2 years ago
6

Review the bar graph below:

Mathematics
1 answer:
Scrat [10]2 years ago
5 0

Answer:

B. 12.5%

Step-by-step explanation:

Add all the hours together to get 20. We make the assumption that 20 is 100% since it is our output value. We next represent the value we seek with x. From step 1, it follows that 100%=20. In the same vein, x%=2.5.This gives us a pair of simple equations:

100%=20(1)

x%=2.5(2)

By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS  (left hand side) of both equations have the same unit (%); we have

\frac{100}{x}=\frac{20}{2.5}

Taking the inverse (or reciprocal) of both sides gives us this:

\frac{x}{100} =\frac{2.5}{20}

>> x=12.5\%  

Therefore, 2.5 is 12.5% of 20.

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Since a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb,  we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

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a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

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I’ll give extra points
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Step-by-step explanation:

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