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2 years ago

There are 32 female performers in a dance recital.The ratio of men to women is 3:8.How many men are in the dance recital?

Mathematics

2 answers:

natita [175]2 years ago

4 0

Answer:12

Step-by-step explanation:32 divided by 8= 4 so then, 4x3 = 12 men in total

Juliette [100K]2 years ago

4 0

Yes the answer is 12. If there are a total of x performers and y is the number of males, then the equation is 8k = 32 where k is an element of the natural numbers. That means that the ratio has to be multiplied by 4 to get the numbernof males. In this case it was 3 so 3×4=12.

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Find the average rate of change of f(x)=2x-1 from x=-1 to x=2

MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

Solution:

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

The average rate of change is given as:

$\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}$

The average rate of change from x = -1 to x = 2 is given by formula:

$\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}$

Find f(2) and f( - 1)

Substitute x = 2 in given function

f(2) = 2(2) - 1 = 4 - 1 = 3

Substitute x = -1 in given function

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

Substitute the values in above formula,

$\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2$

Thus average rate of change from x = -1 to x = 2 is 2

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2 years ago

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Answer:

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0.125 is about 0.13

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2 years ago

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