Factor the expression 45b+40

5(9b + 8)

Step-by-step explanation:

Rewrite 45 as 5 * 9

Rewrite 40 as 5 * 8

= 5 * 9b + 5 * 8

Factor out common term 5

=5 (9b + 8)

5(9b+8)

Step-by-step explanation:

You have to see what numbers equally go into 45 and that would be 9 and 5, and then you see what numbers will go into 40 and that is 8 and 5.

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: