Brianna needs to rent a car while on vacation. The rental company charges $18.95, plus 15 cents for each mile driven. If Brianna only has $50 to spend on the car rental, what is the maximum number of miles she can drive?​

Step-by-step explanation:

First we subtract 18.95 from 50 to get 31.05. Then we divide our new number by .15 to get 207 which is your number of miles :)

207 miles

Step-by-step explanation:

Let's make an equation

y = 18.95 + 0.15x

y = total amount of money, x = miles

Plug in $50 for the total amount

50 = 18.95 + 0.15x

31.05 = 0.15x

x = 207

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.