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.
Hi there!
3c + 2d = 2 for d = 4
3c + 2(4) = 2
3c + 8 = 2
Subtract 8 to both sides
3c + 8 - 8 = 2 - 8
3c = -6
Divide both sides by 3
3c/3 = -6/3
c = -2
I hope I helped!
You are given
the surface area of the cube which is 96cm2. You are asked to find the length
of one side and its volume. Note that the surface area of the cube is equal to
6 times the square root of s (the side of the cube) and the volume is the cube
root of s. So,
SA = 6*s^2
96cm2 = 6*s^2
s^2 = 16cm
<u>s = 4cm,
this is the length of one side.</u>
V = s^3
V = (4)^3
<u>V = 64cm3,
this is the volume of the cube.</u>
The answer is: [B]: " 3 " .
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If f(x) = 3 ; then "y = 3" .
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(assuming this is the only information we are given).
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