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3 years ago

13

I was wondering if you can help me with my math problem

1 answer:

Anna35 [415]3 years ago

3 0

Answer:

Well, what is the math problem?

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A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t

aniked [119]

Answer:

$18.97 \text{ and }12.65\text{ft}$

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of $240$ square feet. The fence along three sides is to be made of material that costs $6$ dollars per foot, and the material for the fourth side costs $12$ dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence $=240\text{ sq. ft}$

let the length of fence $=x$

let the width of fence $=y$

let $x$ be the smaller side

Area of rectangular fence enclosure $=xy$

$xy=240$

$y=\frac{240}{x}$

cost of fence along three sides $=6 \text{ dollars per feet}$

cost of fence along fourth side $=12 \text{ dollars per feet}$

length of fence $=2x+2y$

cost of fence building $=6(2x+y)+12y$

$=12x+18y$

putting value of $y$

$=12x+18\times\frac{240}{x}$

$=12x+4320x^{-1}$

to find minimum value differentiating the equation

$12-\frac{4320}{x^{2} }=0$

$x^{2} =\frac{4320}{12}$

$x^{2} =360$

$x=18.97\text{ft}$

$y=12.65\text{ft}$

Hence the dimensions of the enclosure that is most economical to construct are $18.97\text{ft}$ and $12.65\text{ft}$

8 0

3 years ago

8X +6Y+4<br> Y=-3X+9<br> using substitution what numbers are the variables X and Y

Svetach [21]

Answer:

(5,6)

Step-by-step explanation:

8X +6Y=4

Y=-3X+9

Substitute the second equation into the first. Every place you see y put -3x+9)

8x +6(-3x+9)=4

Distribute

8x-18x +54 = 4

Combine like terms

-10x +54 = 5

Subtract 54 from each side

-10x +54-54=4-54

-10x = -50

Divide by -10

-10x/-10 = -50/-10

x= 5

Now we need to find y

y = -3x+9

y = -3(5) +9

y = -15+9

y= 6

(5,6)

6 0

3 years ago

Y=2x+1<br> y=-x+4<br><br> It's a system of equation

MrRissso [65]

Since y=y. set the equations equal to each then solve
2x + 1 = -x + 4
+x +x
3x + 1 = 4
-1 -1
3x = 3
/3 /3
x = 1

8 0

3 years ago

Complete the equation of this circle:

adell [148]

Answer:

9

Step-by-step explanation:

6 0

3 years ago

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A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m

erma4kov [3.2K]

There are no solutions for this situation. =)

3 0

3 years ago

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