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yarga [219]
3 years ago
6

What 30% of 180? Show work

Mathematics
2 answers:
Deffense [45]3 years ago
8 0
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 180 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 180 is 100%, so we can write it down as 180=100%.
4. We know, that x is 30% of the output value, so we can write it down as x=30%.
5. Now we have two simple equations:
1) 180=100%
2) x=30%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
180/x=100%/30%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 180

180/x=100/30
(180/x)*x=(100/30)*x - we multiply both sides of the equation by x
180=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x
180/3.33333333333=x
54=x
x=54

now we have:
30% of 180=54
xeze [42]3 years ago
8 0
30% * 180= 54 is correct
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Step-by-step explanation:

We need to find the average rate of change for f(x)=x^2-3x-10 from x = 4 to x = 6

The formula used to find average rate of change is:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Where b = 6 and x = 4

Finding f(6):

f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8

Finding f(4):

f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6

Now Putting values:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

  • brainly.com/question/3071107
  • brainly.com/question/6436086
  • brainly.com/question/2485860

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