Pls help me and i will know if it is wrong

9514 1404 393

  90 miles

Step-by-step explanation:

Let d represent the distance to Grandma's house.

The speed going was ...

  speed = distance/time

  speed = d/2

The speed coming home was ...

  speed = d/2.25

The difference of these speeds is 5 miles per hour:

  d/2 -d/2.25 = 5

  2.25d -2d = 5(4.50) . . . . . multiply by 4.50

  0.25d = 22.5 . . . . . . . . . . .simplify

  d = 90 . . . . . . . . . . . . . . . . multiply by 4

Grandma's house is 90 miles away.

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: