It takes 1 4 cups of mayonnaise to make 3 4 cups of tuna fish salad. If Cory has a recipe for 1 cup of tuna fish salad, how much mayonnaise will he need to make 9 times the recipe?

3 cups mayonnaise will he need to make 9 times the recipe

Step-by-step explanation:

given that it  takes 1 /4 cups of mayonnaise to make 3/ 4 cups of tuna fish salad

For 1 cup of tuna fish salad maynonnaise required = 1/3 cups.

When tuna fish salad increases mayonnaise also increases.

So this is direct variation

Hence for preparing 9 times the recipe,

Requd mayonnaise = 9*1/3 = 3 cups

3 cups mayonnaise will he need to make 9 times the recipe

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.