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Nady [450]
2 years ago
8

Find The largest integer which is a factor of both 308 and 952.

Mathematics
1 answer:
elena-s [515]2 years ago
3 0

The largest factor of 308 and 952 is 28.

<h3>What is factor?</h3>

A number or algebraic expression that divides another number or expression evenly.

The factors of 308 are: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 952 are: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

As, seen from above 28 is the largest number which is common to both.

Now, LCM of 308 and 952 is 10472

Now, 10472/308 = 34

Hence, smallest integer value of people such that 308p is a multiple of 952 is 34.

Learn more about factor here:

https://brainly.in/question/17688561

#SPJ1

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3 0
2 years ago
A community theater sells about 150 tickets to a play each week when it charges $20 per ticket.
Marta_Voda [28]

Answer:

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Step-by-step explanation:

The number of tickets sold (q) at some price p is apparently ...

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  q = 12.5(32 -p)

The revenue is the product of the price and the number of tickets sold:

  r = pq

  r = 12.5p(32 -p) . . . . revenue equation

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The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...

  p = (0 +32)/2 = 16

The theater should charge $16 per ticket.

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Maximum revenue will be found by using the above revenue function with p=16.

  r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue

_____

<em>Additional comment</em>

The number of tickets sold at $16 will be ...

  q = 12.5(32 -16) = 200

It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.

5 0
2 years ago
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Answer:

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Step-by-step explanation:

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