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katen-ka-za [31]
2 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]2 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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Answer:

We validate that the formula to determine the translation of the point to its image will be:

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Step-by-step explanation:

Given

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Here:

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We need to determine which translation operation brings the coordinates of the image A'(3, 3).

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Thue, the rule of the translation will be:

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Given that A(-1, 4), so

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3 years ago
At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each o
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<span /><span>TLDR: Equation is 5(10 + x) = 6x. x = 50, so Sheila deposited $50 each 6 trips. Sherri deposited $60 each 5 trips. Both of them deposited $300 in total.

</span>Sherri deposited $10 more into her bank account than Sheila each 5 times. Expression: 5(x + 10).

Sheila deposited money 6 times
Expression: (6)(x) or 6x

Put it all together and the equation is 5(x+10)=6x. 

Solve by distributing the 5 on the right side of the equation 5(x+10) to get 5x + 50 = 6x. Subtract 5x on both sides of equation. 5x - 5x + 50 = 6x - 5x to get 50 = 1x. Divide by 1 on each side to isolate the variable. x = 50. Sheila paid $50 in each of her 6 deposits, so she deposited $300 in total. Check the equation by replacing x with 50. 

Sherri paid $60 in each of her 5 deposits because 50 + 10 is 60. 60 by 5 is also $300. 


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