A 92​-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece. The shorter piece is nothing inches long.

23 inches

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

A 92-inch is cut into two pieces.

x + y = 92

One piece is three times the length of the other.

x = 3y

Find the length of the shorter piece.

Hence:

x + y = 92

x = 3y

3y + y = 92

4y = 92

y = 92/4

y = 23 inches

Solving for x

x + y = 92

x + 23 = 92

x = 92 - 23

x = 69 inches

The shorter piece is 23 inches long.

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: