Answer:
The answer is 390 × pi.
Step-by-step explanation:
Big cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 9^2 x 15
= 1272.3 cubic inches
Small cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 3^2 x 5
= 47.1 cubic inches
1272.3 - 47.1 = 1225.2 cubic inches
1272/3.14 ≈ 390
The answer is 390 × pi.
Answer:
Assuming the choices are only of C and D, D would be the graph of the function.
Step-by-step explanation:
There are many things that would cause D to be the graph of f(x).
Firstly, D has the end behavior of a 
function.
Secondly, it has correct zeroes
Lastly, Its y-intercept is -24, which is the case of the function f(x) as
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
Answer:
50
Step-by-step explanation:
Steven = 13 marbles
Julio = 13 marbles
Megan has twice the number of marbles as Steven and Julio combined
Megan = 2 (13 + 13) = 2(26) = 52 marbles
Among the options (26, 13, 50, 169, 338), the only reasonable estimate is 50
Set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x
∴ 5+3x=3+5x
2=2x
x=1
Therefore the cost of 1 game is $1
