Answer: x = 9
Remember: cross-multiply (product of the means equals the product of the extremes) to solve this proportion. It forms a 'cross'-- hence its name.
4 8 4 and 2 are the extremes
------ = ------ 8 and x - 8 are the means
x - 8 2
(4)(2) = 8(x - 8) Simplify
8 = 8(x - 8) Distributive Property
8 = 8x - 64 Add 64 to both sides
72 = 8x Divide by 8 for both sides
9 = x Answer!
x = 9 Answer!
Answer: length = 24 ft
Width = 8 ft
Step-by-step explanation:
Let L represent the length of the barn.
Let W represent the width of the barn.
The area of a rectangular wall of a barn is 192 sq. Ft. This means that
LW = 192- - - - - - - - - - - - - - -1
It's length is 8 ft longer than twice it's width. This means that
L = 2W + 8
Substituting L = 2W + 8 into equation 1, it becomes
W(2W + 8) = 192
2W² + 8W = 192
2W² + 8W - 192 = 0
Dividing through by 2, it becomes
W² + 4W - 96 = 0
W² + 12W - 8W - 96 = 0
W(W + 12) - 8(W + 12) = 0
(W - 8)(W + 12) = 0
W = 8 or W = - 12
Since the width cannot be negative, then W = 8
L = 192/W = 192/8
L = 24
5x+2y=7
7x-2y=5 its subtract not add
Answer:What number must be multiplied by 3 to obtain 15? ... Example 11 A student solved the equation 5x - 3 = 4x + 2 and found an answer of x = 6. ... Example 12 3x = 6 and 2x + 1 = 5 are equivalent because in both cases x = 2 is a solution. ... + 3x = 7x + 2 - 4x can be changed to a simple equation x = 3, and the equation x = 3 is .
Step-by-step explanation:
The answer is 24d^2-62d+35
