0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)
2.05x^2 - 10x - 20 = 0
x = [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05)
x = 6.40, -1.52 Ignore the negative
Answer is 6.40
I think that whole numbers and natural numbers are the same set:- 1, 2, 3, 4 etc
The answer in simplest form would be 2 and 3 fifths gallons of gas.
Answer:

Step-by-step explanation:
Given

Required
Solve
We have

Using a calculator

Approximate

<span>Each hot dog costs $ 1.50 and each soda costs $ .50. You made a total of $ 78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs and soda's sold. How many hot dogs and soda's were sold?
Quantity Equation: h + s = 87
Value Equation:: 1.5h+0.5s=78.50
Multiply thru the Quantity Equation by 15
Multiply thru the Value Equation by 10.
15h + 15s = 15*87
15h + 5s = 785</span>Subtract and solve for "s":<span>10s = 520
</span>s = 52 (# of soda's sold)
<span>
Solve for h:
h + s = 87
h + 52 = 87
h = 35 (# of hot dog's sold)</span>