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stira [4]
4 years ago
9

A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 yea

rs old and uses 120Kwh/month. If this client pays 0.15/kwh
Mathematics
1 answer:
Roman55 [17]4 years ago
5 0

Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

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IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
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I added three non-unit fractions together to make a whole. What three fractions could that be?
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Answer:

For example \frac{2}{6}

Step-by-step explanation:

A non-unit fraction is a fraction of which the numerator is not equal to one. Additionally, the question does not state to pick three different ones and thus you can pick any fraction that when multiplied by three (since you take three fractions together) add up to a whole number (I'm picking the whole number to be one here just to make it simple), where the numerator is not equal to one of course.

For example:    \frac{2}{6}, because 3·    \frac{2}{6} =      \frac{6}{6} = 1

Infinitely many solutions can be found: for example \frac{3}{9} , \frac{4}{12} , etc

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Answer:

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