Machine machine with 140 gallon capacity needs to be filled with water/glycol mixture. Someone has already pump 50 gallons of 60% glycol blend into the machine. How much more glycol must you add an order to get a 50% concentration?

40 gal

Step-by-step explanation:

The capacity of the machine is 140 gallons, and it must be filled.

In a 50% glycol solution, the amount of glycol in 140 gallons of solution is

50% * 140 gallons = 70 gallons.

Once the machine is full with 140 gallons of 50% glycol solution, it will have 70 gallons of glycol.

The machine now has 50 gallons of 60% glycol solution.

60% * 50 gallons = 30 gallons

The machine has now 30 gallons of glycol.

70 gal - 30 gal = 40 gal

You must add another 40 gallons of glycol.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct