Answer:
d. 64
Step-by-step explanation:
x^2+16x
The coefficient of the x term is 16
Divide by 2
16/2 =8
Then square it
8^2 = 64
We add 64
x^2 +16x +64
(x+8)^2
We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is
.
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

Upon substituting
in volume of cone, we will get:


We know that volume of sphere is
.
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

Since
, so volume of sphere would be:


Therefore, volume of sphere would be 226.08 cubic mm.
Answer:
C) 160
Step-by-step explanation:
Set up a proportion:
= 
Cross multiply and solve for x:
15x = 3600
x = 240
This means in 400 marbles, 240 are purple.
To find how many are not purple, subtract 240 from 400:
400 - 240
= 160 marbles
So, 160 marbles are not purple
Well you are solving for Y so you have to get y by itself. So in order to do that you must multiply both sides by 3/2. You do this because you need to get 2/3 on the other side. So just multiply -12 and 2/3 and you'll get y=-18. You can check this by plugging -18 into your original equation. So 2/3y=-12 will become 2/3(-18)=-12. If the you got the correct answer then you should get -12=-12.
1st find total profit by subtracting the cost from the total revenue:
135,000 - 75,000 = $60,000 profit
Now divide the profit by the total revenue:
60,000 / 135,000 = 0.444 = 44.4% = 44% profit