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Vedmedyk [2.9K]
3 years ago
8

A sweater is on sale for 20% off the original price, x. Which statement explains why x−0.2x and 0.8x can each find the sale pric

e of the sweater?
A. A decrease of 2% is the same as multiplying by 80%.
B.A decrease of 20% is the same as multiplying by 80%.
C. An increase of 20% is the same as dividing by 80%.
D.An increase of 20% is the same as multiplying by 80%.
Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0
The correct answer is B: A decrease of 20% is the same as multiplying by 80%.. This means that paying 80% (0.8x) and paying the full price with 20% off (0.2x) is exactly the same thing.
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A new novel is selling for $17.95. If it is on sale at 40% off, find the amount of discount and the sale price.
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Answer:

A

Step-by-step explanation:

multiply $17.95 by 40% to get the discount ($17.95 x .4), which equals $7.18.

the sale price is the initial price of the book less the discount ($17.95-$7.18), which equals $10.77.

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2 years ago
2. A solar lease customer built up an excess of 6,500 kilowatt hours (kwh) during the summer using his solar
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9514 1404 393

Answer:

  a)  E = 6500 -50d

  b)  5000 kWh

  c)  the excess will last only 130 days, not enough for 5 months

Step-by-step explanation:

<u>Given</u>:

  starting excess (E): 6500 kWh

  usage: 50 kWh/day (d)

<u>Find</u>:

  a) E(d)

  b) E(30)

  c) E(150)

<u>Solution</u>:

a) The exces is linearly decreasing with the number of days, so we have ...

  E(d) = 6500 -50d

__

b) After 30 days, the excess remaining is ...

  E(30) = 6500 -50(30) = 5000 . . . . kWh after 30 days

__

c) After 150 days, the excess remaining would be ...

  E(150) = 6500 -50(150) = 6500 -7500 = -1000 . . . . 150 days is beyond the capacity of the system

The supply is not enough to last for 5 months.

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