Answer:
34.
Step-by-step explanation:
The three integers would be 34,35,36 because the sum of the three numbers is 105.
Answer:
72m^2
Step-by-step explanation:
Conevert the lengths into what they really are
Length of Patio:12
width of patio:6
Soooo.....
multiply
12x6=72
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
Write the scenario as an equation:
25 = 2x -4
Add 4 to each side.
29 = 2x
Solve for x
29/2 = x
Simplify
29/2 = $14.50
Stefon was making $14.50 when he first began mowing.
