After factoring 
the solutions are x=0 , x=3, x= -3
Step-by-step explanation:
We need to solve by factoring:
Solving:
Taking 3x common:
Now using formula 
So, After factoring the solutions are x=0 , x=3, x= -3
Keywords: Factorization
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Answer:
x = 20
Length = 20ft
Width = 12ft
Step-by-step explanation:
A = 240
x^2 - 8x = 240
x^2 - 8x - 240 = 0
x^2 - 20x + 12x - 240 = 0
x(x-20) + 12(x-20) = 0
(x+12)(x-20) = 0
x = 20
x = -12 (which we discard since x is a length)
So the dimensions are 20ft and 20-8 = 12ft
Answer:
length of each side of the room is 2√30 which is approximately 10.9545 ft
Explanation:
The area of the square can be computed as follows:
Area = l²
where l is the length of the side
We are given that:
area = 120 ft²
Substitute with the area in the above equation and solve for l as follows:
area = l²
120 = l²
l = √120
l = 2√30 ft
This is approximately equal to 10.9545 ft
Hope this helps :)
Answer:
2 quarters and 5 dimes
Step-by-step explanation:
Let x be the amount (the volume in milliliters) of the 5% solution to be mixed.
Then the volume of the 1% solution is 100-x milliliters.
Then your "concentration" equation is
%280.01%2A%28100-x%29+%2B+0.05%2Ax%29%2F100 = 0.02,
or, equivalently,
100-x + 5*x = 200,
which implies
4x = 100 ----> x = 100%2Fx = 25.
Answer: 25 milliliters of the 5% solution must be mised with 100-25 = 75 milliliters of the 1% solution.
