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olga2289 [7]
3 years ago
13

A company had 41 employees in order 980 uniforms for them if they want to give each employee same number of uniforms how many mo

re uniforms should they order so that they don't have any extra
Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

They would have to order 4 more uniforms in order to distribute an equal amount to each employee

Step-by-step explanation:

First we have to calculate the number of maximum uniforms that can be given to each employee equally

For this we simply divide the number of uniforms by the number of employees and look only at the whole number

980/41 = 23.92 = 23

we don't round we just take the decimals

now we multiply the number of maximum uniforms that we can give each one by the number of employees

23 * 41 = 943

to the 980 uniforms we subtract the 943

980 - 943 = 37

Calculate how much is left to 37 to reach 41

41 - 37 = 4

This means that they would have to order 4 more uniforms in order to distribute an equal amount to each employee

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If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now    \bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
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3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the 0=w^2\implies 0=w   so.  you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

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3 years ago
1.25=0.75+r what is R?
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lara31 [8.8K]
Hey there!


Tim drives 300 kilometers.


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Hope I was able to help!
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The product of a number and 9 less than the number is 90. Find the number.
Goryan [66]

Let's say this number is a:
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