Answer:
x = 2
Step-by-step explanation:
'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2
use Pythagorean Theorem to find 'x':
2² + 4² = x²
4 + 16 = x²
x² = 20
x = 
x = 
·
x = 2
Absolute value would be x=14
Let the boxes be Box 1, Box 2, Box 3.
consider the 3 white balls. They can be all of them in one box:
(3, 0, 0) (3 in Box 1, 0 in box 2 and 0 in box 0)
(0, 3, 0)
(0, 0, 3)
We can have 2 in one box, and 1 in one of the remaining boxes:
(2, 0, 1)
(2, 1, 0)
(0, 2, 1)
(1, 2, 0)
(0, 1, 2)
(1, 0, 2)
and there is only one way: (1, 1, 1) to place one white ball in each box
In total there are: 3+6+1=10 ways to place the white balls. Similarly there are 10 ways to place the black ones.
Since every placement of the white balls can be combined with any placement of the black balls, there are 10*10=100 ways to place the 3white balls and the 3 black bals in the boxes.
Answer: 100
1 man earns 810 / 12 = $67.5 in 10 days
by proportion 1 man will earn 0.8 * 67.5 = $54 in 8 days
So 14 men will earn 54 * 14 = $756 in 8 days.
Answer:
x=2
Step-by-step explanation:
5 ( x - 2) + 4 ( 3 + x) = 20
Distribute
5x -10 +12 +4x = 20
Combine like terms
9x +2 = 20
Subtract 2 from each side
9x+2-2 = 20-2
9x = 18
Divide each side by 9
9x/9 = 18/9
x = 2
