A recipe for chicken marinade says, "Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice." If you need 42 cups of marinade in all, how much of each ingredient should you use?

We will use;

21 parts oil

14 parts soy sauce

7 parts Orange

Step-by-step explanation:

We can have all of these as a ratio

That would be;

3 + 2 + 1 = 6

For oil

3/6 * 42 = 21 parts of oil

For Soy sauce

= 2/6 * 42 = 14 parts soy sauce

For Orange

= 1/6 * 42 = 7 parts orange juice

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:

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72