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Charra [1.4K]
3 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:
tatiyna3 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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How far will the weight at the end of the cord move when the drum rotates 60° counterclockwise?
Natali [406]

Answer:

5.2 ft.

Step-by-step explanation:

First you want to find the circumference of the circle. Given the radius 5ft you can then multiply it by 2 to get the diameter to make the equation for circumference much easier. 2*5=10. the diameter is 10ft.

Next the formula for circumference with diameter is π(d). Our diameter is 10 so plug it in and you get π(10) which equals about 31.4.

With the 60 degree you have to know that a circle is a full 360 degrees. 60 is 1/6 of 360 in meaning the distance the weight at the end of the cord will move  is 1/6 of the circumference of this circle. Therefore you need to do 1/6*31.4 which equals about 5.2.

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3 years ago
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UkoKoshka [18]

What are the units? Tell me the units so I can solve this please.

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A drawer contains unmatched socks. There are 7 black, 4 blue, and 5 white. What is the probability that you will select a white
kotykmax [81]

Answer:

Step-by-step explanation:

8.3

6 0
3 years ago
Equation that has a slope of -4 and passes through the point (-2, 2) show work too
Alenkinab [10]

Answer:

y=-4x-6

Step-by-step explanation:

y=mx+b, where m is the slope and b is the y-intercept

Slope is given as -4, so:

y=-4x+b

To find b, sub in the point we were given (-2,2):

2=-4(-2)+b

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b=2-8=-6

So we have: y=-4x-6

7 0
2 years ago
How do yo work out 9.1 divided by 3575
EastWind [94]
9.1/3575
use long division like this
         _<u>0.</u>_________
3575|91.000000

we find how many of 3575 fit into the 91
it's too big so we go farther
how many 3575 go into 910
too big so we go farther
how many 3575 go into 9100
the answer is 2 so put that in the correct place and mulitply that and put that in the correct place. then we subtract

         _<u>0.</u><u>02</u>_________
3575|91.000000
        -<u>71.50</u>
         19.50
bring down the next number
find how many go into 19.500
the answe ris 5


         _<u>0.</u><u>02</u><u>5</u>_________
3575|91.000000
        -<u>71.50</u>
         19.500
        -<u>17.875</u>
           1.625
          
bring down he next zero ( I fast forward and skip steps for convinience)

                      __
         _<u>0.</u><u>02</u><u>5</u><u>455</u>_________
3575|91.000000
        -<u>71.50</u>
         19.500
        -<u>17.875</u>
           1.6250
          -<u>1.4300</u>
             .19500
            -<u>.17875
</u>                16250
               -14300
and so on untill infinity so the answe ris 0.0254555555555555 (enless fives)
8 0
3 years ago
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