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lisabon 2012 [21]
3 years ago
14

Six people are standing in line for concert tickets. Their average age is 27. the average age of the first four people in line i

s 23. The average age of the last three people is 34. How old is the fourth person in line?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0
Total age 
<span>6 * 27 </span>
<span>162 </span>

<span>Subtotal age of first 4 </span>
<span>4 * 23 </span>
<span>92 </span>

<span>Subtotal of last 3 </span>
<span>3 * 34 </span>
<span>102 </span>

<span>In the total of the first 4 and last 3 </span>
<span>the 4th person has been counted twice. </span>
<span>This second time must be subtracted. </span>

<span>Therefor </span>
<span>92 + 102 - x = 162 </span>
<span>194 - x = 162 </span>

<span>Subtract 194 from both sides </span>
<span>-x = -32 </span>

<span>Multiply both sides by -1 </span>
<span>x = 32 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
</span>
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The maximum volume of the box is 40√(10/27) cu in.

Here we see that volume is to be maximized

The surface area of the box is 40 sq in

Since the top lid is open, the surface area will be

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Now, the length is equal to the breadth.

Let them be x in

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Let f(x) = volume of the box

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Hence,

f(x) = x²(10/x - x/4)

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differentiating with respect to x and equating it to 0 gives us

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or, 3x²/4 = 10

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Hence x will be equal to 2√(10/3)

Now to check whether this value of x will give us the max volume, we will find

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Since the above value is negative, volume is maximum for x = 2√(10/3)

Hence volume

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= 2√(10/3) [10 - 10/3]

= 2√(10/3) X 20/3

= 40√(10/27) cu in

To learn more about Maximization visit

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