Answer:
The number of gallons of Pi Up required is 900 gallons.
Step-by-step explanation:
Two different drinks that are produced by the beverage producer are Pi Cola which contains 10% Cola and Pi Up which contains 50% cola.
A solution is to be created using Pi Cola and Pi Up to create a new product containing 40% cola.
It has been mentioned that the number of gallons of Pi Up to be used is 300 gallons.
We can write that the number of gallons of Pi Up that must be mixed with 300 gallons of Pi Cola be x gallons.
So we write the first equation and we can say that the total number of gallons of the solution is x + 300.
Equating the percentage of cola from each beverage to get the required 40% cola we can write
(0.1 × 300) + (0.5 × x) = 0.4 × ( x + 300)
If we solve for x from the above equation we get
(0.5 x + 30) = (0.4 x + 120)
⇒ 0.1 x = (120 - 30) = 90
⇒ x = 900 gallons
Therefore the number of gallons of Pi Up required is 900.
Answer:
106
Explain how you found your answer:
I think 24 but im not 100 percent sure more like 60 .
first you need to find the slope of he current equation by changing it to y=mx+b
3x-2y=9 subtract 3x from both sides
-2y=-3x+9 divide both sides by -2
y+3/2x-9/2 Your slope of the existing is 3/2 or 1 1/2
a perpendicular line has the opposite reciprocal slope so 3/2 would be -2/3
-3 is your y intercept. now you can make your equation
y=-2/3x-3
