Answer:
8 months
Step-by-step explanation:
194-3m = 217-6m
3m = 23
m=7.666666..... (8 months
Hi!
length = l = 2 * width = 2 * w
Area = l * w = l * 2 * l = 2 * l^2
2 * l^2 = 72
l^2 = 72/2 = 36
l = square root of 36
l = 6
l = 2 * w => w = l/2 = 6/2 = 3
Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet
Hope this helps!
Answer:
(-5,5)
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(x+5y=20)
1(2x−7y=−45)
Becomes:
−2x−10y=−40
2x−7y=−45
Add these equations to eliminate x:
−17y=−85
Then solve−17y=−85for y:
(Divide both sides by -17)
y=5
x+5y=20
Substitute 5 for y in x+5y=20:
x+(5)(5)=20
x+25=20(Simplify both sides of the equation)
x+25+−25=20+−25(Add -25 to both sides)
x=-5
Answer:
option D: 27.5 square units
Step-by-step explanation:
Divide the polygon in 6 figures
see the attached figure
Area of figure 1 (right triangle)
A1=(1/2)(3)(3)=4.5 units²
Area of figure 2 (rectangle)
A2=(1)(3)=3 units²
Area of figure 3 (rectangle)
A3=(1)(3)=3 units²
Area of figure 4 (right triangle)
A4=(1/2)(3)(3)=4.5 units²
Area of figure 5 (right triangle)
A5=(1/2)(4)(5)=10 units²
Area of figure 6 (right triangle)
A6=(1/2)(1)(5)=2.5 units²
The total area is equal to
At=A1+A2+A3+A4+A5+A6
At=4.5+3+3+4.5+10+2.5=27.5 units²
Answer:
Expenditure x (in hundreds of dollars) = $2,000
Step-by-step explanation:
Given:
Profit p (in hundreds of dollars)
Expenditure x (in hundreds of dollars)
p(x) = -0.5x² + 20x + 23
Find:
Expenditure for advertising .
Computation:
x = -(Cofficient of x) / 2(Cofficient of x²)
x = -(20) / 2(-0.5)
x = 20
Expenditure x (in hundreds of dollars) = 20 × $100
Expenditure x (in hundreds of dollars) = $2,000
