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kobusy [5.1K]
3 years ago
9

Jordan earned $200 this month delivering newspapers. His mom said he must put 20% into his savings account. He wants to buy head

phones that cost $ 99.95 and two shirts that cost \$17 each. He also has to pay 7% sales tax on his purchases . Jordan said, "No problem. I will put 20% into savings , buy the things I want, and still have about $10 left." Use estimation to determine if Jordan's calculation is reasonable. Show your work.
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer:

Yes, his calculation is reasonable. He will have about $16.67 left.

Step-by-step explanation:

200 - (200 * .2) = $160 <em>Subtract money for savings</em>

99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 <em>Add taxes</em>

160 - 143.33 = $16.67 <em>Subtract money for purchases from money left after savings</em>

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Applying the triangle sum theorem, we have:

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<h3>What is the Triangle Sum Theorem?</h3>

According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.

First angle measure = x

Second angle = 2x

Third angle = (2x + x) - 30 = 3x - 30

x + 2x + 3x - 30 = 180 [triangle sum theorem]

6x - 30 = 180

6x = 180 + 30

6x = 210

x = 210/6

x = 35

First angle measure = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 3x - 30 = 3(35) - 30 = 75°

Learn more about the triangle sum theorem on:

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