Find two consecutive internet's whose sum is 75

37 and 38

consecutive integers have a difference of 1 between them

let n and n + 1 be the consecutive integers, then

n + n + 1 = 75 ( subtract 1 from both sides )

2n = 74 ( divide both sides by 2 )

n = = 37

the integers are 37 and 37 + 1 = 38

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: