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emmasim [6.3K]
3 years ago
15

jacquie hired a contractor to install a tile floor in her laundry room which measures 10.5 feet by 8 feet. the contractor inform

ed her that the tiles cost $4.75 a square foot, he would charge $22 per hour, and it would take him 7.5 hours to complete the job. when the job was done, jacquie received a bill in the amount of $659.12 from the contractor which included an 8% sales tax. is the amount on the bill correct?
Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0
There are 3 types of cost for this problem: the cost for the area covered by the tiles, cost for hourly labor and the sales tax.

Cost of Area = (10.5 ft)(8 ft)($4.75) = $399
Cost of Hourly Labor = ($22/h)(7.5 h) = $165
Sum = $399 + $165 = $564
Cost of tax = $564(0.08) = $45.12

Total Cost = $564 + $45.12 = <em>$609.12</em>

So, the amount of the bill is incorrect.
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Answer:

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2 years ago
There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that th
kifflom [539]

Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns  

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

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3 years ago
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andrey2020 [161]

Proof

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The complete answer for the missing reasons is attached below in the diagram.

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3 years ago
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Savatey [412]

Answer:

Question 9:

The product is irrational

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20

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4 0
2 years ago
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Which is equivalent to sqrt x^10<br> A. X-5<br> B. X -1/5<br> C. X sqrt 10<br> D. X 1/5<br> E. X^5
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<h3>Answer:  E) x^5</h3>

\sqrt{x^{10}} = x^5

=====================================================

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We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is \sqrt{a^b} = a^{b/2}

A more general rule is

\sqrt[n]{a^b} = a^{b/n}

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

5 0
3 years ago
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