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Charra [1.4K]
4 years ago
14

The work in an office takes 150 hours to complete every week. Each person in the office works 32hours a week. What is the smalle

st number of people to complete the work
Mathematics
1 answer:
tatiyna4 years ago
8 0

Answer:

5

Step-by-step explanation:

To answer this, we must figure out the minimum amount we can add 32 to itself to reach 150. This means that we must multiply 32 by our desired amount, x, to reach the amount of hours closest to 150 (but above/equal to it). To find x, we can divide 150 by 32, and if it gives us a number with no decimals or remainders, that is x, as it is the smallest amount of people to get above/equal to 150. If it gives us a remainder/decimal, we must round up, as we cannot have a part of a person and we must get the work done, so we must get at least 150 hours. 150/32 is 4.6 something, so we must round up. 5 is our answer

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The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
A line segment has endpoints at (2, -3) and (5,-3). What is the equation of the perpendicular bisector of the line segment?
kozerog [31]
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7 0
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List four monthly cost that a homeowner needs to pay?
rewona [7]

Answer:

A homeowner has to pay phone bill, home insurance, cable bill, internet bill

Step-by-step explanation:

If the homeowner doesn't pay these then they won't get to continue using it until they pay for it again.

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3 years ago
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Step-by-step explanation:

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3 years ago
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At Priscilla's school, the final grade for her Calculus course is weighted as follows:
EleoNora [17]

Priscilla's weighted average grade in her Calculus course is 77.5%.

<h3>Calculating weighted average</h3>

In order to determine the weighted average, you will multiply each contributor by its individual weight and then take the sum as shown:

Weighted average = 0.50(87%) +0.30(100%) +0.20(20%)

Weighted average   = 43.5% +30% +4%

Weighted average   = 77.5%

Therefore Priscilla's weighted average grade in her Calculus course is 77.5%.

Learn more on weighted average here: brainly.com/question/24215541

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