We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
z = ? Monthly administration fee is notated with z, and that is the this problem's question.
Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
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(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
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(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
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(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
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(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
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(1) z = 113 - 1100*y
(2) 400*y = 40
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(1) z = 113 - 1100*y
(2) y = 40/400
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(1) z = 113 - 1100*y
(2) y = 1/10
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if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.
Answer: The area of the shaded region is 27.74 centimeters squared
Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.
Area of Rectangle = L x W
Area of rectangle = 8 x 7
Area of rectangle = 56
Also,
Area of circle = Pi x r^2
Area of circle = 3.14 x 3^2
Area of circle = 3.14 x 9
Area of circle = 28.26
Area of shaded region is given as area of rectangle minus area of circle
Therefore, shaded region = 56 - 28.26
Area of shaded region = 27.74 centimeters squared
Answer:
B = 11; C = -8
Step-by-step explanation:
When simplified I get 10x^3 + 11x^2 - 8x - 3
All we have to do is first, add 5 Hours to 9:38. This takes us so 2:38 PM. Then we add the 18 minutes, giving us 2:56 PM. The ending time is 2:38 PM.
Answer:
45,45,90
Step-by-step explanation:
3x + 3x + 6x= 180
12x=180
x= 180/12= 15
3x=3×15=45
3x=3×15=45
6x=6×15=90