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Katen [24]
4 years ago
14

Dan earns $42.75 per month working as a tutor. He worked as a tutor for 4 months. He also earned $52.45 walking dogs in the neig

hborhood. He spent $18.50 of his total earning to buy a movie ticket and candy. Dan put of the remaining money in his savings account.
Dan used the following steps to find the total money he put in his savings account:

Step 1: [($42.75 ⋅ 4) + $52.45 − $18.50] ⋅

Step 2: [$171 + $52.45 − $18.50] ⋅

Step 3: 241.95 ⋅

Step 4: $80.65

In which step did Dan first make an error? Use words to explain how Dan can correct his error.
Mathematics
1 answer:
Sergio [31]4 years ago
6 0
Step 3. Dan added the last value $18.50 that he spent instead of subtracting from his earnings. 
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A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What
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Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = \frac{25}{\sqrt{2}} =17.7 m

And DC = (DF + EF + EC)

             = EC + EF + EC [Since, DF = EC]

             = 2EC + EF

             = 35.4 + 25

             = 60.4 m                            

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

                                              = 135.4 m

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3 years ago
What numbers are to the right of 0 on the number line?
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Numbers after zero are positive numbers, which can be any number (whole or  decimal/fraction). But numbers before zero are negative numbers which can be also whole or decimal fraction.

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