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Darina [25.2K]
3 years ago
12

Ms. Wang is shopping for a new refrigerator. Brand A costs $569 and uses 635 kilowatt-hours per year. Brand B costs $647 and use

s 582 kilowatt-hours per year. If electricity costs $0.18 per kilowatt-hour, how much would Ms. Wang save on electricity per year by buying Brand B?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

Savings on electricity per year by brand B = 114.3 - 104.76 = $9.54

Step-by-step explanation:

Ms. Wang is shopping for a new refrigerator. Brand A costs $569 and uses 635 kilowatt-hours per year. Brand B costs $647 and uses 582 kilowatt-hours per year.

Let's assume he buys brand B, so he already has a loss over the price of the commodity that is , loss = 647 - 569 =$78

Cost of electricity = $0.18

Now in the case of electricity,

spending on Brand A = 635\times 0.18 = $114.3

spending on Brand B = 582\times 0.18 = $104.76

Savings on electricity per year by brand B = 114.3 - 104.76 = $9.54

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For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}

\mathbf{\dfrac{x - 4}{5} \times 45 = 9 \times 45 - \dfrac{2x - 41}{9} \times 45}

\mathbf{9(x - 4) = 405 - 5 (2x - 41)}

\mathbf{9x - 36 = 405 - 10x + 205}

\mathbf{9x - 36 = - 10x + 610}

\mathbf{9x - 36 + 36 = - 10x + 610 + 36}

\mathbf{9x = - 10x + 646}

\mathbf{9x + 10x = - 10x + 646 + 10x}

\mathbf{19x = 646}

\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}

\mathbf{\therefore \quad x = 34}

\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}

Hope it helps.
3 0
2 years ago
Angles A = 60, B = 2x, C = 3x and D = 25 are 4 angles on a straight, what 3 points is the value of angle B?*​
iragen [17]

Answer:

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Step-by-step explanation:

A straight angle is 180°. If your four angles total a straight angle, then ...

  60 +2x +3x +25 = 180

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  x = 19 . . . . . . divide by 5

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1 year ago
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Answer:

y = dependent variable

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Step-by-step explanation:

The equation, y = mx represents a direct variation showing a proportional relationship between variable y and variable x.

y represents the dependent variable

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Helga [31]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

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13^2 + 14^2 = 365, or c^2. If this is a right triangle, c should equal 15.

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