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Lerok [7]
3 years ago
9

A rancher wants to fence in an area of 1,000,000 square feet in a rectangular field and then divide it in half with a fence down

the middle parallel to one side. Find a function that models the amount of fencing in terms of the width of the field, w, where w is the measurement of the fence down the middle of the field.
Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

  f(w) = 3w + 2,000,000/w

Step-by-step explanation:

We know that the area of a rectangle is the product of its length and width:

  A = LW

Filling in the given values lets us write an expression for the length of the field.

  1,000,000 = Lw

  L = 1,000,000/w

Since there are 3 fences of length w and two of length L, the total perimeter fence length is the sum ...

  f(w) = 3w + 2(1,000,000)/w

Combining the constants, we have a function for the perimeter fence length in terms of the width of the field:

  f(w) = 3w +2,000,000/w

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If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the
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Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

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2.5a + 1.75c=203.5 (2)

From (1)

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Substitute a=94-c into (2)

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Substitute c=42 into (1)

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a+42=94

a=94-42

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a=52

Therefore,

52 adults and 42 children attended the concert

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2 years ago
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