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eimsori [14]
3 years ago
9

After receiving a discount of 6.5% on its bulk order of notebooks, John's Office Supply pays $6732. What was the price of the or

der before the discount? a. $6631 c. $7200 b. $7170 d. $6294
Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

7170 is the correct answer.

Step-by-step explanation:

The original price is 6.5% more than what he actually paid. There are two ways to answer this.

  • First Way: Take 6.5% of 6732 which is (6.5/100) * 6732 = 437.58
  • Add this amount onto 6732. This will give you 6732 + 437.58 = 7169.58
  • The second way is slightly shorter. Add 6.5% onto 100% which =  106.5% of the paid amount. That should give you the second step directly.
  • (106.5 / 100 ) * 6732 = 7169.58
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Now, I guess you know how to integrate that:

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In △ABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . Find the length of DE if perimeter of ABDE is 30 cm and AB
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DE = 6 cm

Step-by-step explanation:

Let DE = x cm.

Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)

As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.

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So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then

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