Answer:
The radius of the new cheese ball formed is approximately 6.603 inches.
Step-by-step explanation:
We are given the following in the question:
Radius of three cheese ball = 2 inches, 4 inches, and 6 inches
They were combined to form a new cheese ball.
Thus, we can write
Volume of three cheese balls = Volume of new cheese ball.
Let r be the radius of new cheese ball.
Volume of sphere =

Putting values, we get:

Thus, the radius of the new cheese ball formed is approximately 6.603 inches.
Answer:
y=-1/2x-2
Step-by-step explanation:
Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
Answer:
33
Step-by-step explanation:
put 4 in for x and then solve
5+7(4)
5+28
33
Answer:
47,000
Step-by-step explanation:
6,750 rounds up to 7,000