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Wewaii [24]
3 years ago
14

a painter chargers $12 an hour while his son charges $6 an hour. if the father and son worked the same amount of time together o

n a job, how many hours did each of them work if their combined charge for their labor was 108
Mathematics
2 answers:
krok68 [10]3 years ago
7 0

Answer:

We set they worked x hours.

12x + 6x =108

18x=108

X=6

They have to work 6hours together

vodomira [7]3 years ago
3 0

Answer: 6 hours

Step-by-step explanation:

Let x= the number of hours they've worked

12x+6x=108

Combine like terms

18x=108

Divide 18 on both sides

18/18 x=108/18

x=6

Hope this helps!! :)

Please let me know if you have any question

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Find the distance between the points A(13, 2) and B(7, 10). The distance between the two points is
vova2212 [387]

Answer:

<h3>The answer is 10 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{( {x1 - x2})^{2} +  ({y1 - y2})^{2}  }</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question , the points are

A(13, 2) and B(7, 10)

The distance between them is

<h3>|AB|  =  \sqrt{( {13 - 7})^{2} +  ({2 - 10})^{2}  }  \\  =  \sqrt{ {6}^{2} + ( { - 8})^{2}  }  \\  =  \sqrt{36 + 64}  \\  =  \sqrt{100}</h3>

We have the final answer as

<h3>10 units</h3>

Hope this helps you

8 0
3 years ago
Maureen pought 3 pairs of shoes that cost $37.98 each.If the tax rate is 8%, how much did the Maureen pay?"
Goryan [66]
3\cdot37,98\$=113,94\$\\\\100\%+8\%=108\%=1,08\\\\113,94\$:1,08=105,50\$
5 0
3 years ago
Read 2 more answers
Solve (1,21),(2,6);y=a(x+1)^2 +k
slamgirl [31]

Put the coordinates of the points (1, 21) and (2, 6) to the equation of the function:

y=a(x+1)^2+k\\\\(1,\ 21)\\\\21=a(1+1)^2+k\\21=a(2)^2+k\\21=4a+k\qquad\text{subtract 4a from both sides}\\21-4a=k\qquad(*)\\\\(2,\ 6)\\\\6=a(2+1)^2+k\\6=a(3)^2+k\\6=9a+k\qquad(**)

Substitute (*) to (**):

6=9a+(21-4a)\\6=9a+21-4a\\6=5a+21\qquad\text{subtract 21 from both sides}\\-15=5a\qquad\text{divide both sides by 5}\\-3=a\to\boxed{a=-3}

Put the value of a to (*):

k=21-4(-3)\\k=21+12\\\boxed{k=33}

Answer:

y=-3(x+1)^2+33

5 0
3 years ago
What is the power of ten in (8.91 x 10^2) (3.3 x 10^12)?
NNADVOKAT [17]
In this problem, the power of 10 is 14. Hope this helps!
6 0
4 years ago
if the side of a square is tripled,how many times the perimeter of the first square will that of the new square be?
Sergio [31]

Answer:

The perimeter of the new square is three times the perimeter of the first one.

Step-by-step explanation:

You just need to put in an example number to figure this out.

Lets say one square has a side of two, and another a side of 6.

Perimeter of square 1: 8

Perimeter of square 2: 24

24 is three times more than 8.

6 0
3 years ago
Read 2 more answers
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