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Artist 52 [7]
3 years ago
8

(Power and Energy) If electricity costs $0.09 per kilowatt hour, find the cost (in dollars) of running each of the following ele

ctrical devices six hours per day for 30 days:
a. A 60 watt incandescent light bulb
b. An LED light bulb that emits the same light intensity as a 60 W incandescent light bulb, but uses 80 mA from a 120 V residential power wall outlet
c. A 1500 W electric space heater that runs continuously over the six-hour daily period
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

a) $0.97

b) $0.16

c) $24.30

Step-by-step explanation:

$0.09 per kilowatt hour = $0.09/kWh

6h/day 30 days = 180h

a) 60W*180h = 10800 Wh = 10.8kWh

10.8kWh * $0.09/kWh = $0.97

b) P = V*I

V = 120V

I = 80mA = 80/1000 = 0.08A

P = 120*0.08 = 9.6W

9.6W*180h = 1728 Wh = 1.728kWh

1.728kWh * $0.09/kWh = $0.16

c) 1500W*180h = 270000 Wh = 270kWh

270kWh * $0.09/kWh = $24.30

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A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 80% pure anti
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Answer:

  102 gallons of 55% antifreeze

  68 gallons of 80% antifreeze

Step-by-step explanation:

55% antifreeze:   x

80% antifreeze:   y

x + y = 170                        ===>  -.55(x + y = 170)   ===>   -.55x - .55y = -93.5

.55x + .80y = .65(170)      ===>                                          .55x + .80y = 110.5      

                                                                                         ________________

add the two equations to eliminate a variable:                        0.25y = 17

divide by 0.25 to isolate y:                                                               y = 68

substitution to find x:    

  x + y = 170

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randall recorded 8 songs on his most recent CD the total length of the CD is 49 minutes find a unit rate to represent the averag
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The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to b
Vaselesa [24]

Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29

So,

length = x

width = y = 29-x

The length is reduced by 7 feet and the width becomes half.

New length = x-7

New width = \frac{1}{2}(29-x)

New perimeter = 34 foot

2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19

So,

New length =x-7=19-7=12\,\,foot

New width = \frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot

6 0
4 years ago
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