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katen-ka-za [31]
3 years ago
14

Tiles (6" by 6") can be installed at the rate of 50 per worker hour. The floor of a large lobby area (80’ by 40’) is to be cover

ed with these tiles. If three workers are assigned to this task, what duration (to the nearest whole day) should be assigned to this activity?
Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

Step-by-step explanation:

Tiles (6" by 6") can be installed at the rate of 50 per worker hour. Since the tile is a square, its area is

L^2 = 6^2 = 36 inches square

So in an hour, a worker installs 50 tiles whose area is 36 inches square. Total square meters installed per hour will be 50 × 36 = 1800 inches square per hour.

If three workers are assigned to this task, their work rate will be

1800 × 3 = 5400 inches square per hour.

The floor of a large lobby area (80’ by 40’) is to be covered with these tiles. We would convert from feet to inches.

1 foot = 12 inches

80 feet = 80 × 12 = 960 inches

40 feet = 40 × 12 = 480 inches

Area of the lobby = 90 × 480 = 460800 inches square.

If the 3 workers install 5400 inches square in 1 hour,

Then then they will install 460800 inches square in

460800/5400 = 85.33 hours

Converting to the nearest whole day, it becomes

85.33/24 = 3.55

Approximately 4 days

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The length should be 80 feet.

This is because the width is 20, since there are two sides for the width in a pen, we have to add 20+20. This would equal 40. Then we need to subtract 40 from 200. 200-40 would be 160. Then since there are two sides for the length, we need to split that in half. 160÷2 would be 80. To double check, you can do 80+80 and that would still be 160. So the length of one side would be 80. But of course, this whole thing would only be right if the pen has four sides(but since i have seen many chicken pens, there were all rectangular). I hope this helped! :)
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Your neighbor needs to put a fence around her front yard and a seperate fence around her backyard. Her front yard is 65 feet lon
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Front yard
65+65+45+45=220
Back yard
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380 feet
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a rectangular photograph has an area of 104 square inches. if the width of the photograph is 5 inches less than its hight, find
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Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
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Read 2 more answers
Identify the equivalent expression for each of the expressions below. Root(5, (m + 2) ^ 3). Root(3, (m + 2) ^ 5). Root(5, m ^ 3)
vesna_86 [32]

Answer:

1. (\sqrt[5]{(m+2)})^{3} =  (m+2)^{\frac{3}{5}}

2. (\sqrt[3]{(m+2)})^{5} =  (m+2)^{\frac{5}{3}}

3. \sqrt[5]{(m)}^{3}+2 =  m^{\frac{3}{5}}+2

4. \sqrt[3]{(m)}^{5}+2 =  m^{\frac{5}{3}}+2

Step-by-step explanation:

Recall that

(\sqrt[n]{x})^{m} =  (x^{\frac{m}{n}})

Where x^{m} is called radicand and n is called index

1. Root(5, (m + 2) ^ 3)

In this case,

n is 5

m is 3

x = (m + 2)

(\sqrt[5]{(m+2)})^{3} =  (m+2)^{\frac{3}{5}}

2. Root(3, (m + 2) ^ 5)

In this case,

n is 3

m is 5

x = (m + 2)

(\sqrt[3]{(m+2)})^{5} =  (m+2)^{\frac{5}{3}}

3. Root(5, m ^ 3) + 2

In this case,

n is 5

m is 3

x = m

\sqrt[5]{(m)}^{3}+2 =  m^{\frac{3}{5}}+2

4. Root(3, m ^ 5) + 2

In this case,

n is 3

m is 5

x = m

\sqrt[3]{(m)}^{5}+2 =  m^{\frac{5}{3}}+2

6 0
3 years ago
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