Solve each question for the variable.
g + 114.78 = 152.98
a. g = 267.76
b. g = 28.2
c. g = 38.2

g= 38.2

Step-by-step explanation:

to find the variable u need to get rid of the rest of the problem

so subtract 114.78 from both sides of the equation so subtract 114.78 from, 114.78+g and u get g cause the 2 numbers cancel each other out. then subtract 114.78 from 152.98 to make the equation balanced and ur left with 32.8 so C.

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: