Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juice will Sally need if she uses 2 cups of pineapple juice?

5 1/3

Step-by-step explanation:

Set up ratio.

2/3 cup orange juice    X    2 cups  pineapple juice

———————————-

1/4 cup pineapple juice

first multiply numerator :  2/3 x 2   =  4/3

and divide by denominator

(4/3)/(1/4). Keep the first.  Change the sign to multiplication and Flip the second fraction.

4/3 x 4/1 = 16/3

change to proper fraction :  16/3 = 5 1/3 cups

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: