Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
Answer:
50
Step-by-step explanation:
Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).
<span>Let's say you divide 25 by 4. You will get a quotient 6, but have that remainder of 1. You could also divide 37 by 6, and likewise get a quotient of 6, with a remainder of 1. The difference is that the remainders are not truly the same. The first remainder is 1 part out of 4, but the second remainder is 1 part out of 6</span>
Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of 
, 
and 
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
a^2 + b^2 = c^2
Let c = hypotenuse = 2x
One of the legs = x. Let a or b = x.
I will let a = x. We can then say that b = 3.
3^2 + x^2 = (2x)^2
9 + x^2 = 4x^2
9 = 4x^2 - x^2
9 = 2x^2
9/2 = x^2
sqrt{9/2} = sqrt{x^2}
3/sqrt{2} = x
Rational denominator.
[3•sqrt{2}]/2 = x = a
Side 3 is given to be 3 feet. So, b = 3.
Hypotenuse = 2x
Hypotenuse = 2([3•sqrt{2}]/2)
Hypotenuse = 3•sqrt{2}
Understand?
The three sides are 3, [3•sqrt{2}]/2 and
3•sqrt{2}.
