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Andre45 [30]
3 years ago
8

I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. the

fencing for the southern boundary costs $20 per foot, and the fencing for the east and west sides costs $10 per foot. if i have a budget of $80 for the project, what are the dimensions of the garden with the largest area i can enclose?
Mathematics
1 answer:
eduard3 years ago
5 0
The dimensions would be 2 by 2.

We are fencing in 3 sides.  The southern side is twice as expensive as the other two sides; the eastern and western sides together equal as much as the southern side.  We have $80 to spend.  

20x+10x+10x = 80
40x = 80
x = 2

This means that we can have 2 feet on all sides, for a total of 10(2)+10(2)+20(2)= 80.
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Based on the information provided, it follows that there are 1,728 possible seating arrangements.

<h3>How can we find the number of possible arrangements?</h3>

To find the number of arrangements in this problem situation we must take into account the following key factors:

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According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

  • Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
  • Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
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Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:

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Learn more about the factorial function in: brainly.com/question/16674303

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d. There is a 98% chance that the true proportion of customers who click on ads on their smartphones is between 0.56 and 0.62.

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