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AnnyKZ [126]
3 years ago
14

a group of 4 pupils can take 2 weeks to do a certain job.how long will 12 pupils take to complete the job if they work at the sa

me rate​
Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

6 weeks

Step-by-step explanation:

Set up a proportion where x is the amount of time with 12 pupils:

\frac{4}{2} = \frac{12}{x}

Cross multiply and solve for x:

4x = 24

x = 6

So, it will take 12 pupils 6 weeks to complete the job.

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Answer: 28\ cubes

Step-by-step explanation:

The volume of a cube can be found with this formula:

V_{(c)}=s^3

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

V_{rp}=lwh

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3

To find the volume of the shipping box, first we must convert the mixed number to  an improper fraction:

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V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3

Now, in order to find the  number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28

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