**Answer: **You receive 14x+45 dollars for each gallon of cider that you sell.

**Step-by-step explanation:**

Given: For selling each gallon of cider, the company receives x dollars.

You receive = Remaining amount

i.e. You receive $(Selling price - x)

By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars

i.e. You received 15x+45-x dollars

i.e. You received 14x+45 dollars.

**Hence, you receive 14x+45 dollars for each gallon of cider that you sell.**

The answer in powers is

3 × 5(to the power of 2)

The answer **is x = 30 mm.**

Similar shapes have proportional measurements. Hence:

side AB/side BC = side DE/side EF

1.) Substitute with given:

<span> AB/BC = DE/EF

10/4 = DE/12

2.) Cross multiply </span>10/4 = DE/12<span>

4DE = 120

3.) Divide both sides of the equation by 4 </span>to solve for DE:<span>

4DE/4 = 120/4

** DE = 30 mm.**

4.) Substitute and cross multiply to check if the values are equal:

</span> AB/BC = DE/EF

10/4 = 30/12

4(30) =10(12)

120 = 120

If dey colinear then

AE=AC+CE

so if AE=x+50 and CE=x+32 then

x+50=AC+x+32

minus x both sides

50=AC+32

minus 32 both sides

18=AC

AC=18 units

**Answer:**

22

**Step-by-step explanation:**