Give me branliest sir I have the answer ready for you
Answer:
1500 minutes
Step-by-step explanation:
1 meter = 100 centimeters
1.5 meters = 150 centimeters
30 cm = 30 minutes
30 * 50 = 1500 minutes
1500 minutes
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.
Note that both 5 and 4 are exponents, and their product is 5*4=20, or 4*5=20. Thus,
(3^5)^4 is equal to (3^4)^5
Review:
(a to the power b)to the power c = a to the power bc.
Thus, (3 to the power 5)^4 = 3^20; the same is true if you reverse the positions of the 5 and the 4.
