Answer:
Step-by-step explanation:
Brittany paints the room in x hours, completing 1/x of the room per hour.
Ashley paints the room in x+2 hours, completing 1/(x+2) of the room per hour.
Working together, they complete 1/x + 1/(x+2) = ⅐ of the room per hour.
7(x+2) + 7x = x(x+2)
14x + 15 = x^2 + 2x
x^2 - 12x - 15 = 0
x = [12 ±√(12²+60)]/2= 6±√51
6-√51 is an extraneous solution.
x = 6+√51 ≈ 13.14
Brittany paints the room in 12.14 hours
Answer: the length of the rectangle is 37ft
the width of the rectangle is 6 ft
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 86 feet. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43 - - - - - - - - - - - -1
Its length is 7 more than five times its width.. This means that
L = 5W + 7
Substituting L = 5W + 7 into equation 1, it becomes
5W + 7 + W = 43
6W + 7 = 43
6W = 43 - 7
6W = 36
W = 36/6
W = 6
L = 5W + 7 = 5 × 6 + 7
L = 37
X=<span><span><span>−7</span>±<span>√<span>49<span><span>−11</span><span>v2</span></span></span></span></span><span>v2
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