1) Enlun mixes 8 cups of pineapple juice and 14 cups of cranberry juice to make a fruit punch. Assuming he always mixes in the same ratio, write an equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c). a) How many cups of pineapple juice are needed for 63 cups of cranberry juice?

p = 4/7c

p = 36 cups when c = 63 cups

Step-by-step explanation:

Cups of pineapple juice, p = 8

Cups of cranberry juice, c = 14

equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c)

p = k * c

Where,

k = constant of proportionality

p = k * c

8 = k * 14

8 = 14k

k = 8/14

k = 4/7

Therefore,

p = 4/7c

How many cups of pineapple juice are needed for 63 cups of cranberry juice?

p = 4/7c

p = 4/7 * 63

= (4 * 63) / 7

= 252/7

= 36

p = 36

p = 36 cups when c = 63 cups

d

step-by-step explanation:

d

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet