Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $43.75 or buy gas for $3.30/gallon.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The better deal is to because the price to fill a 12 gallon tank of gas for $43.75 is $ per gallon.
B. The better deal is to buy gas $3.30/gallon because the price to fill a 12-gallon tank of gas for $43.75 is $per gallon.

B; $3.30

Step-by-step explanation:

Since $43.75 is the cost of 12 gallon tanks, you want to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks. This gets us to $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so you would want to put $3.30.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

step-by-step explanation:

(3rd option) - c