To solve this problem, you have to divide the price by the number of gallons.
So 56.25/15 = 3.75
Therefore Genevieve payed $3.75 per gallon
Hiya. I'm going to rewrite the second equation.
By subtracting 5x by both sides, I'll be able to have y by itself:
-y=-5x+13
I'm going to then divide both sides by -1 to get:
y=5x-13.
Then, I'm going to plug that equation into the first equation
3x+2(5x-13)=39
Factor:
3x+10x-26=39
Combine like terms:
13x=65
Divide both sides by 13 to get x by itself to get x=5
Plug this back into the equation of y=5x-13
y=5(5)-13 to get y=12
Answer:
25
Step-by-step explanation:
The number that needs to be added is the square of half the x-coefficient:
(-10/2)^2 = 25
_____
Adding that gives ...
(x -5)^2 = 32
x = 5 ± 4√2
Use the Pythagorean theorem (a^2+b^2+x^2)
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:

The cost function is:

And the average cost function is:

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:

Multiplying by x:

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:


Swapping sides and changing the sign:

Dividing by 41:

The least number of items to produce is 41