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Goryan [66]
2 years ago
12

I want to fence in a square vegetable patch. The fencing for the east and west sides cost $7 per foot, and the fencing for the n

orth and south sides cost $4 per foot. Find the total cost (I'm dollars) of the fencing as a function of the length (in feet) of a side x.
Mathematics
1 answer:
Bezzdna [24]2 years ago
4 0

The total cost of the fencing is a function of the length of a side x (feet) is  10x + 14y.

<h3>How to find the perimeter?</h3>

The perimeter is made by adding the south, north, east, and west side.

Given that

The cost of fencing for the east and west sides is $7 per foot, and the cost of fencing for the north and south sides is only $5 per foot.

We have to find total cost of the fencing is a function of the length of a side x (feet).

The east and west fencing cost is $7/ft but the south and north fencing cost is $5/ft.

x = north and south fencing

y = the east and west sides, then you can get this equation.

Total cost= (south +north) × 5 + (east+ west) × 7

Total cost =(x + x) × 5 + (y+ y) × 7

Total cost = 5(2x) + 7(2y)

Total cost = 10x + 14y

Hence, the total cost of the fencing is a function of the length of a side x (feet) is 10x + 14y.

To know more about the Equation click the link given below.

brainly.com/question/1687505

#SPJ1

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Which value of m satisfies the inequality 170-7m 99?<br><br> 10<br> 12<br> 14<br> 15
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Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75 how many adult
irina1246 [14]

Answer:

The number of adults tickets and student tickets purchased is 5 and 3.

Given that,

Tickets to a movie cost $7.25 for adults and $5.50 for students.

A group of friends purchased 8 tickets for $52.75.

Here we assume the no of adult tickets and no of student tickets be x and y.

Based on the above information, the calculation is as follows:

7.25x + 5.50y = 52.75 .............(i)

x + y = 8

x = 8 - y..................(2)

Now put the x value in the equation (1)

So,  

7.25(8-y) + 5.50y = 52.75

7.25 × 8 - 7.25y + 5.50y = 52.75

58 - 1.75y = 52.75

5.25 = 1.75y

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So,  

x = 8 - 3

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Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.

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4 0
2 years ago
What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?
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Answer: \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Step-by-step explanation:

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Since the vertices are of the form (± a, 0).

i.e. a=9

Thus, the major axis is along x-axis.

Also, foci of the ellipse = (±5,0)

Since, foci is of the form (± c,0), i.e. c=5

Since

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Equation of ellipse :

\dfrac{x^2}{9^2}+\dfrac{y^2}{56}=1\\\\\Rightarrow\ \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Hence, the required equation : \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

8 0
4 years ago
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