Atrail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. there is proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.

Step-by-step explanation:

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts.

There is proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.

The ratio of raisins and peanuts = 4:6  or 2:3

It would be same for every mixture.

If r cups of raisins and p cups of peanuts then their mixture ratio is r:p

Therefore,

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!