Find two numbers if their difference is 90, and their ratio is 5: 8.

150 and 240 are the two numbers having difference as 90 and ratio as 5 : 8.

Step-by-step explanation:

Since ratio of two numbers is 5 : 8 ,

lets assume two numbers be 5x and 8x.

Difference of two numbers = 8x - 5x = 90

⇒3x =90

⇒x = 90/3=30

so two numbers are 5x = 5 × 30 = 150 and 8x = 8 × 30 = 240

Hence 150 and 240 are the two numbers having difference as 90 and ratio as 5 : 8.

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: