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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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R
wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be x

and Rose's age will be y

"Ivy is half as old as her sister":

x=\frac{y}{2}

this will be our <u>fist equation.</u>

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have x+6 years, and Rose will have y +6 years, so for this sentence we have the equation:

x+6=\frac{2}{3}(y+6)

this will be our <u>second equation.</u>

Substituting the value of x from the first equation into the second, and solving for y(Rose):

\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y

Rose is 12 years old.

and Ivy (using the fist equation):

x=\frac{12}{2}=6

Ivy is 6 years old.

6 0
3 years ago
Plz help. I need number 6 and 7
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8 0
3 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Marina86 [1]

Answer:

\boxed{\sf (f - g)(x) = 2x - 3}

Given:

f(x) = 3x - 1

g(x) = x + 2

To Find:

(f - g)(x)

Step-by-step explanation:

\sf (f -g)(x) = f(x) - g(x) \\ \\   \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =(3x - 1) - (x + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =3x - 1 - x - 2 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =3x - x - 1 - 2 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =(3x - x) - (1 + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =2x - (1 + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =2x - 3

6 0
3 years ago
Determine the least common denominator of 11/15 and 23/54 . 270 540 1080 90
marusya05 [52]

Answer:

270

Step-by-step explanation:

use lising method start with the larger number

54:54,108,162 216,270

15: instead of listing all 18 multiples, divide 15 into the multiples of 54 it only goes evenly into 270.

Or divide both denominators into your fir answer and see the smallest bith can go into evenly.

3 0
3 years ago
Read 2 more answers
If we change one side of a square by factor of 5, of 0.5, of 12 and of 1 12 , by what factor will the perimeter change?
ICE Princess25 [194]
The perimeter will change by the same factor  Answer
7 0
3 years ago
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