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djyliett [7]
3 years ago
15

Dimtry bought a pair of pants at the discounted price of $30. The original price of the pants was $40. What was the percent of t

he discount? PLEASE EXPLAIN TO ME HOW YOU GOT YOUR ANSWER
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

25%

Step-by-step explanation:

Say we start from the beginning with $40. If the pants are discounted but we don't know the percent discount, then we need a variable, x:

40 - x% * 40 = 30

The total is 40. When we take a discount off of 40, we are taking a percent of 40 and subtracting that from 40. From the problem, this should be 30. Thus, the equation above.

Add x%*40 to both sides and subtract 30 from both sides:

x%*40 = 10

Divide by 40:

x% = 1/4 = 0.25

Multiply each side by 100:

x = 25

The answer is 25%.

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I need the steps to this, please. It says solve for x. Each figure is a parallelogram. Show your work.
Trava [24]
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.

FH is one diagonal that is split into two equal pieces by the other diagonal EG.

The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH


By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH

Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)

and solve for x
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----------------------------------------
----------------------------------------

Answer: x = 8

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3 years ago
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