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saw5 [17]
4 years ago
3

A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a​ 40-hour

work week. He plans to have two laborers at ​$10 per hour and six masons at ​$21 per hour.​ He'll need ​$3337 worth of materials and wishes to make a profit of ​$400. Write a mathematical statement that will give the estimated cost of the job. Then calculate this total.
Mathematics
1 answer:
zhannawk [14.2K]4 years ago
4 0

Answer:

$9,577

Step-by-step explanation:

Given:

Estimated time for the job = 40 hours

Number of laborers = 2

Per hour laborers cost = $10

Number of masons = 6

Per hour mason cost = $21

Worth of material = $3337

Estimated Profit = $400

Now,

The total amount spent on laborers

= Number of laborers × total working hours × Cost per hour

= 2 × 40 × $10

= $800

The total amount spent on masons

= Number of masons × total working hours × Cost per hour

= 6 × 40 × $21

= $5040

Hence,

the total estimated cost for the job

The total amount spent on laborers                                    $800

The total amount spent on masons                                     $5,040

Worth of material                                                                   $3,337

Estimated Profit                                                                      $400

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

Total estimated cost                                                               $9,577

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9 in.
Nitella [24]

Answer:

75

Step-by-step explanation:

1/3 * 5² * 9 = V

1/3 * 25 * 9

= 75

7 0
2 years ago
1. if m&lt;b = 60 what is AB<br><br><br>2. if m&lt;b =45 what is the perimeter of the trapezoid.​
nika2105 [10]

Answer:....

Step-by-step explanation:

first we need to find the base of the triangle, so the total is 20, they also give us 12, so we subtract 20-12=8 now divide. 8/2=4. Now we use the 4 and the 60. We use SOH-CAH-TOA, they give us the base now we need to find AB which is the hypotenuse. So we take out the TOA, and the 4 is the adjacent so we take out the SOH, we have CAH now, so we use cos. Now equation time....

cos60=\frac{4}{x}   since x is the bottom we switch \frac{4}{cos60}, which equals 8. AB=8.

Now to find the perimeter. We still use the 4 to find the hypotenuse so we  can find the outside side. For this one they tell us to use 45, so now lets see what method we use. SOH-CAH-TOA. We need the hypotenuse and they give us the adjacent, so we use cos again. Now setting up the equation...

cos45=\frac{4}{x}    x is at the bottom again to we switch.

\frac{4}{cos45}   which equals to 5.657 or you can round it. Now we add everything.

20+12+5.657+5.657= 45.314 or you can round it to 45.

5 0
3 years ago
1.9 divided by 3 <br> Give all steps!;)
Roman55 [17]
The answer is:  " \frac{19}{30} " ;
  or, write as:  "0.63333333333..." ;  or, round to:  "0.6333" .
__________________________________________
Explanation:
__________________________________________
  1.9 ÷ 3  = \frac{1.9}{3} ;

              = \frac{1.9 * 10}{3 * 10} ;

              = \frac{19}{30}
 ______________________ 
Write as:  " \frac{19}{30} " ; 

or, using a calculator, write in "decimal form" ;

→  \frac{19}{30} = 19 ÷ 30 =  "<span>0.63333333333...." ; 
</span>_______________________________________________________
The answer is:  " \frac{19}{30} " ;
  or, write as:  "0.63333333333..." ;  or, round to:  "<span>0.6333" .
</span>_______________________________________________________

        
4 0
4 years ago
Find dydx for xy+x+y=6. Differentiate both sides of the equation with respect to x, and then solve for dydx. Do not substitute f
velikii [3]

Answer:

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Step-by-step explanation:

The given equation is xy+x+y=6

Differentiate both sides with respect to x

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Take y and 1 to other sides of the equation

x\frac{dy}{dx}+\frac{dy}{dx}=-y-1

Factor out dy/dx from the left hand side of the equation

\frac{dy}{dx}(x+1)=-y-1

Divide both sides by (x+1)

\frac{dy}{dx}=\frac{-y-1}{x+1}\\\\\frac{dy}{dx}=-\frac{y+1}{x+1}

7 0
3 years ago
To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diam
Semmy [17]
You need to find the slope
251-248. 3
------------- = --------
2005-1965. 40
5 0
3 years ago
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