Answer:
50
Step-by-step explanation:
50 x 2 = 100
and
100/2 = 50
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
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
