rapid rental car charges a $55 rental fee, $15 for gas, and $0.35 per mile driven. for the same car, capital cars charges $50 for rental and gas and $0.45 per mile.

for how many miles is the rental cost at both companies the same?

the rental costs at both companies are the same at __ miles.

Let it be for x miles.

40+15+0.25x=45+0.35x

10 =0.1x

x=100

The mile is 45+0.35*100= 80 or 40+15+0.25*100 =80

Step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: