Answer:
C. 30+18x
Step-by-step explanation:
6x5=30
6x3=18
30+18x
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
2x+y=6
3x+5y=9
y = 6 - 2x
3x + 5( 6-2x ) = 9
3x + 30 - 10z = 9
7x = 21
x = 3
y = 6 - 2(3)
y = 0
Answer:
450
Step-by-step explanation:
A = P(1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time(in years)
Given,
P = 3000
t = 2 years
r = 7.5% = 7.5/100 = 0.075
A = 3000(1 + 0.075*2) = 3450
Interest = 3450 - 3000 = 450
Might be 134 because since angle 2 and 8 are lined up like that it is same side exterior angles which means they are supplementary from each other so they will equal 180. So I did 180-46 to get 134, I’m not sure if I’m correct
