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:
The volume of the larger solid is 
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar , then the ratio of its surface areas is equal to the scale factor squared
so
Let
z-------> the scale factor
x-------------> surface area larger solid
y-------------> surface area smaller solid
substitute
----> scale factor
step 2
Find the volume of the larger solid
we know that
If two figures are similar , then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z-------> the scale factor
x-------------> volume of the larger solid
y-------------> volume of the smaller solid
we have
substitute the values
Answer:
7 cups of flour
reason:
to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6
(I may be wrong this is just how I did it)
The answer is 35 because it in beetween 20 and 50
