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zaharov [31]
3 years ago
15

Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two

walls each have one door, and both doors measure 3 ft. By 7 ft. One wall has a window that is 3 ft. By 5 ft. The doors and window do not have to be painted. A gallon of paint can cover 300 ft.2. A hired painter claims that he will need three gallons to paint the one room. Is the estimate correct?
Mathematics
1 answer:
Dovator [93]3 years ago
6 0

Answer:

The estimate is not correct?

Step-by-step explanation:

Given data

Area of wall = 18*8

=144ft^2

=4*144

=576ft^2

Area of doors

=3*7

=21ft^2

=2*21

=42ft^2

Area of window

=3*5

=15ft^2

Hence the total surface area of the room

=576-42-15

=519ft^2

The amount of paint needed= 519/300= 1.73

Approximately 2 gallons

We are told that 1 gallon will cover 300ft^2

Hence 3 gallons will cover 300*3= 900ft^2

Therefore the painter overestimated the amount of paint needed

As 2 gallons will do the job

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Answer:

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Step-by-step explanation:

<em>1. Let us first write down the problem at hand: </em>3y^2 + y - 14

<em>2. Now let us break this expression into groups:  </em>

3y^2 - 6y + 7y - 14  ⇒ ( 3y^2 - 6y )( 7y - 14 )

<em>3. Factor 3y from 3y^2 - 6y:</em>

3y^2 - 6y ⇒ 3y( y - 2 )

<em>4. Factor 7 from 7y - 14:</em>

7y - 14 ⇒ 7( y - 2 )

<em>5. Substitute Step #3, 4 ⇒ Step #2:</em>

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<em>6. Factor common term y - 2:</em>

<em>Answer: ( y - 2 )( 3y + 7 )</em>

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3 years ago
Knife is 3 times cost of spoon<br> 9 spoons and 12 knifes is £82.80<br> what is 1 knife
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Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

  • A knife is 3 times the cost of the spoon.
  • 9 spoons and 12 knives costs £82.80.

Solution :

  • This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
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  • The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

<h3>9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84</h3>

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  1.84 x 3 = 5.52

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