Deepak is making a large amount of trail mix. he uses 2 cups of raisins in a single batch, which makes 7 cups. if he uses 14 1/4 cups of other ingredients, how many cups of raisins will he use?

5 7/10 cups of raisins

Step-by-step explanation:

We assume that the total volume made equals the sum of the volumes of the individual ingredients.

He uses 2 cups of raisins and makes 7 cups of trail mix. That mean the amount of other ingredients is 7 cups - 2 cups = 5 cups.

He uses 2 cups raisins and 5 cups of other ingredients.

When he uses 14 1/4 cups of other ingredients instead of only 5 cups, he is multiplying the recipe to make it bigger.

Now we calculate how many times he is multiplying the recipe by.

14 1/4 divided by 5 = (14 1/4)/5 = (57/4)/5 = 57/4 * 1/5 = 57/20

He is making 57/20 times the original recipe.

Since he is making 57/20 times the recipe, he needs 57/20 times 2 cups of raisins.

Now we calculate what 57/20 times 2 cups of raisins is.

57/20 * 2 = (57 * 2)/10 = (57 * 2)/(10 * 2) = 57/10 = 5 7/10

5 7/10 cups of raisins

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: