A50% antifreeze solution is to be mixed with an 80% antifreeze solution to get 180 liters of a 75% solution. how many liters of the 50% solution and how many liters of the 80% solution will be used?

Step-by-step explanation:

If x is the volume of 50% solution and y is the volume of 80% solution, then the total volume is:

x + y = 180

And the total amount of antifreeze is:

0.50(x) + 0.80(y) = 0.75(180)

0.5x + 0.8y = 135

Solving the system of equations:

0.5x + 0.8(180 − x) = 135

0.5x + 144 − 0.8x = 135

9 = 0.3x

x = 30

y = 180 - x

y = 150

You need 30 gallons of 50% solution and 150 gallons of 80% solution.

1

step-by-step explanation:

it's the only multiple of both and the least

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.