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Dmitry [639]
1 year ago
9

If a gallon of paint covers 400 square feet, how many gallons are needed to paint a retaining wall that is 269 feet long and 4 f

eet high ? Round the answer up to the nearest whole gallon

Mathematics
1 answer:
Nuetrik [128]1 year ago
5 0

The area of a rectangular shape is given by

A=l\times b

Given:

It is given that a gallon of paint covers 400 square feet, and wall is 269 feet long and 4 feet high .

Now the area of wall will be

A=269\times4

Since,

\begin{gathered} 400\text{ sq f}eet=\text{ 1gallon} \\ 1\text{ sq f}eet=\frac{1}{400}gallon \\ 269\times4\text{ sq f}eet=\frac{1}{400}\times269\times4 \\ =\frac{269}{100} \\ =2.69\text{ gallon} \\ =3\text{ galllon} \end{gathered}

So, the ewall requires approx 3 gallon of paint.

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Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. If every performa
yan [13]
X = # of perfomances

y = total amount of money

Income: y = 7500x

Expense: y = 5900x + 88000



Substitution:

7500x = 5900x + 88000

1600x = 88000

x = 55

y = 7500(55) = $412,500

55 performances are needed to break-even.
5 0
3 years ago
Jerry has 6 candys he lost 2 how much does he have?
Aleksandr-060686 [28]

Answer:

Hello there!

Since he had 6 candies and lost two, all you have to do is subtract 2 from 6.

Therefore, Jerry only has 4 candies.

Hope this helps!!!

Step-by-step explanation:

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3 years ago
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3 years ago
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In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree
Dmitriy789 [7]
72^{\circ}

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\  \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\  \\ 500\pi+\frac{125\piα}{72}=625\pi \\  \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi  \\  \\ \frac{125\pi α}{72}=125\pi  \\  \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi  \\  \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\  \\ α=72^{\circ} \\  \\  \end{gathered}

Thus, the centra angle of that shaded area is 72º

6 0
1 year ago
56 ÷ 4 i need help please help me asap
PtichkaEL [24]

Answer:

14

Step-by-step explanation:

56/4=14

Check

14*4=56

4 0
3 years ago
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