suppose that the gas tank of a car holds 12 gallons and that the car uses 1/ 20 of a gallon per mile .let x be the nuber of miles the car has gone since the tank was filled?
(1/20x)= 12
so now get x by itslef!
(1/20x)/ (1/20)= 12/(1/20)
x= 240!
yeah I am good! that is good! good luck!
Liz gave you the total miles per tank.
x=20(gallons used) If your tank is half full, you have used 6 gallons,so
x=20(6)
x=120
if your tank is 3/4 full you have used 3 gallons, so
x=20(3)
x=60
To solve this problem, we need to use the given information and algebraic equations.
Let's start by using the equation (1/20)x = 12. This equation represents the relationship between the number of miles the car has gone (x) and the gas used (1/20 of a gallon per mile).
To isolate x and solve for it, we can perform the following steps:
1. Multiply both sides of the equation by the reciprocal of (1/20), which is 20/1.
(1/20x) * (20/1) = 12 * (20/1).
Simplifying the left side gives us:
(20/20)x = (240).
This further simplifies to:
x = 240.
Therefore, the number of miles the car has gone since the tank was filled is 240.
Alternatively, if you are given the number of gallons used (let's call it g), you can use the equation x = 20g, where x represents the number of miles the car has gone.
For example, if the tank is half full, it means 6 gallons have been used:
x = 20(6),
x = 120.
Or if the tank is 3/4 full, it means 3 gallons have been used:
x = 20(3),
x = 60.
So, depending on the gallons used, you can calculate the number of miles the car has gone.