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zaharov [31]
2 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]2 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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5and 2/5 plus 2 and 3/5
HACTEHA [7]

Answer:

8

Step-by-step explanation:

Add the whole numbers:

5 + 2 = 7

Add the fractions:

2/5 + 3/5 = 5/5 = 1

Add these together:

7 + 1 = 8

Hope this helps!

4 0
3 years ago
1. If x=3-√3,<br> prove that x²<br> +36<br> x²<br> = x²
valentina_108 [34]

Answer:

we get x^2=12-6\sqrt{3}

Step-by-step explanation:

We are given: x=3-\sqrt{3}

We need to find x^2

Note: Since question is not clear, I am assuming that we need to find x^2

Solving:

x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\

We know that (a-b)^2= a^2-2ab+b^2

Using formula and simplifying

x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\

So, we get x^2=12-6\sqrt{3}

3 0
2 years ago
Given a ≠ ± b and (a^2-b^2) / (a+b)=12 find a-b.
grigory [225]

Answer:

\sqrt{12a  \:  +  \: 12b \:  -  \: 2ab \:  +  \: 2b {}^{2} }

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

\sqrt{12a \:  + 12b \:  - 2ab \:  +  \: 2b {}^{2} }

5 0
2 years ago
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x = amount of money the student has to give.

(x / 100) × 100% = 0.01%

We can cancel out the 100's

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The student would have to give $0.01 or 1 cent

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Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y.
agasfer [191]

Answer:

dose that help you hope I helped

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3 years ago
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