The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
Answer:
21 is 20% of 105
Step-by-step explanation:
20% * x = 21
20/100 * x = 21
x = 21 * 100/20
x = 105
If you are using a calculator, simply enter 21×100÷20, which will give you the answer.
So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.
Understanding that we know the shadow lengths, we can turn these into a fraction such as so:
4ft/20ft.
Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.
Your fraction for that would look like:
5.5ft/X
Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.
Now we can solve.
4ft/20ft =5.5ft/X
We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:
4x = 110ft
This is a simple one step equation. Divide both sides by 4 to get your answer.
x= 27.5ft.
This means your Utility pole's height is 27.5ft.
3(4m-2)-2(m+5)
Distribute.
12m-6-2m-10
12m-2m= 10m
-6-10= -16
10m-16
I hope this helps!
~kaikers
Answer:
it would be 500
Step-by-step explanation:
since blue is covering 50% of the circle than the probability of it landing on blue is 50% and 50% of 1000 is 500