Answer:
Yes.
Step-by-step explanation:
Just like normal algebra, you factor our the common factor, in this case, 5.
Thus,

Hello from MrBillDoesMath!
Answer:
x = 50
Discussion:
(4x +5) ( 2x - 2) = 8x^2 - 8x + 10x - 10
= 8x^2 + 2x - 10 (A)
(16x^8)/(2x^6) + 90 = 8x^2 + 90 (B)
Setting (A) = (B) gives
8x^2 + 2x - 10 = 8x^2 + 90
Subtract 8x^2 from both sides:
2x - 10 = 90
Add 10 to both sides:
2x = 90 + 10 = 100
Divide both sides by 2:
x = 100/2 = 50
Thank you,
MrB
I searched for a calculator on my computer and got 109.888888889.
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution)
in simple terms: %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x) simplify/ distribute
0.6x + 12 = 25 +0.5x get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13 divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
First set up the equation:

+

Now solve the ones in the parenthesis:

+

Then do the exponents:
25+64
The answer will be:<u> </u>
<u>89
</u>Hope this helps!
<u>
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