To create a breakfast beverage, pineapple juice in two concentrations, 20% and 70%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 20 gallons of 20% juice is used, how many gallons of the 70% juice must be used to obtain a 60% pineapple juice solution?

80 gallons

Step-by-step explanation:

Equation:

pine + pine = pine

0.20*20 + 0.70x = 0.60(20+x)

Multiply thru by 100 to get:

20*20 + 70x = 60*20 + 60x

10x = 40*20

x = 80 gallons

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10