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Dmitrij [34]
3 years ago
9

Samantha is trying to determine how she can save money by cutting her electricity bill. She is currently on a standard use plan

for electricity and pays 8.5 cents per kWh. She keeps track of when she uses electricity and is thinking about switching to an interval use plan for electricity which costs 2 cents per kWh for off-peak use and 13 cents per kWh for on-peak use. Off-peak hours are from 8PM - 8AM and on-peak hours are from 8AM - 8PM. Below is the chart of her electricity usage:
Samantha’s Electricity Usage Per Month
1100 kWh between 8PM and 8AM
800 kWh between 8AM and 8PM

Explain and justify which plan would best suit her needs.
a.
Samantha should not switch to the interval use plan, which would cost $126.00 more per month.
b.
Samantha should switch to the interval use plan, which would save her $126.00 per month.
c.
Samantha should switch to the interval use plan, which would save her $35.50 per month.
d.
Samantha should not switch to the interval use plan, which would cost $35.50 more per month.
Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer:

Step-by-step explanation:

The first step is to save the money the second step is when the bill comes out to pay it right away and then the third one is to do it correctly

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Help asap please!
mario62 [17]
I have to rewrite the expressions because they look very confusing.

1) The given fractions to add are:

  4p² + 6        2p - 2
------------ +  ------------
     4p²             10p²

2) The statements to asses are:

<span>A) The least common denominator is 20p
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

D) The sum is (24p² -4p +30 ) / 20p² = (12p-2p+15) / 10p^2

E) The sum is a rational expression.

This is the result for each statement.

</span>
<span>A) The least common denominator is 20p

FALSE: THE LCD IS 20p², because it the least expression that contains all the prime factors of both denominators: 4p² and 10p.

See that you cannot divide 20p by 4p² but you can divide 20p² by 4p² and 10 p. So, 20p is not a common denominator.
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

TRUE: you get this expression from the first fraction by multiplying both numerator and denominator by  20p² / 4p² = 5:

(4p² + 6)×5 = 20p² + 30

(4p²)×5 = 20p²

=>

  20p² + 30
--------------
      20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

FALSE: you have to multiply both numerator an denominator by 20p² / 10p = 2p

(2p - 2) × 2p = 4p² - 4p

10p × 2p = 20p²

So, the second fraction rewritten with the LCD is:

 4p² - 4p
-----------
    20p²

D) The sum is (24p² - 4p +30 ) / 20p² = (12p-2p+15) / 10p²

TRUE

</span>
<span><span>  20p² + 30        4p² - 4p         24p² - 4p + 30
-------------- +   --------------- = ----------------------
      20p²              20p²                    20p²</span>


And when you simplify the last fraction dividing by 2 you get:

  12p² - 2p + 15
-----------------------
          10p²

E) The sum is a rational expression.

TRUE:

The sum of rational number has the closure property which means that by adding rational expression you will always ge a rational expression.
</span>
6 0
3 years ago
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Given that y is inversely proportional to x square if 3 is x what is y
Veronika [31]

Answer:

Step-by-step explanation:

y = k/x

Where k is our constant of proportionality

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lutik1710 [3]
Each guest should only have 1 cookie, although there will be 25 extra cookies if each guest has 1.
3 0
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What is the equation of the line with a slope of -4 and a y-intercept of 2?
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Answer:

y = -4x + 2

Step-by-step explanation:

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7 0
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Item 2<br> Solve.<br> 52 – 2x = 4<br><br><br> –28<br><br><br> –24<br><br><br> 24<br><br><br> 28
mariarad [96]

Answer:

24

Step-by-step explanation:

52-2x=4 (move the constant to the right)

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-2x=-48 (divide both sides)

solution: 24

hope this helps!

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3 years ago
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