1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nadya68 [22]
2 years ago
12

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar

n, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. if the fencing costs $12 per linear foot to install and the farmer is not willing to spend more than $3000, find the dimensions for the plot that would enclose the most area. (width, length) =
Mathematics
1 answer:
jeyben [28]2 years ago
3 0

Hi,

Let assume a the west side,

b the length of the north wall (i suppose the answer is smaller then the barn.

Cost of the fence= a*6+a*12+b*12=3000 $.

So 3a+2b=500==>b=(500-3a)/2

Area =a*b=a(500-3a)/2= 250a-3/2a²

Derivate the area ==> 250-3a=0

==> a=250/3 and b=(500-3*250/3)/2=125

Width=125 (feet)

Length=250/3=83.333 (feet)

You might be interested in
(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript
stiks02 [169]
\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}


Use:\\a^{-n}=\left(\frac{1}{a}\right)^n\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\\left(\frac{a}{b} \right)^n=\frac{a^n}{b^n}
6 0
2 years ago
Read 2 more answers
The Aquarium charges $16.00 for admission and $2.50 for each ride ticket. Mountain Rides charges $25.00 for admission and $0.25
Darina [25.2K]

Answer:

B

Step-by-step explanation:

Because 16 + 2.50 is less than 25 + 0.25x

7 0
2 years ago
Solve for X<br> -5x=45<br><br> A 225 <br> B 9 <br> C -9<br> D 45
andriy [413]
X=-9

-x=9 so x=-9 since you inverse the sign
8 0
3 years ago
What is the y-value when x = 6?
faltersainse [42]

Answer:

poooop

Step-by-step explanation:

ahhh this is easy first eat pizza then poop easy

7 0
2 years ago
in a sale there is 25% off and a bed costs 33 pounds in the sale so how much was it before the sale ?
IceJOKER [234]
44 pounds 
gonna type so i can post this because of the 20 character limit :P
6 0
3 years ago
Other questions:
  • Evaluate 2D + 3 when d = 8.
    5·1 answer
  • 10 points!!
    9·1 answer
  • Ocean blue sells 179 medium t-shirts. how much money will they receive ? each t shirt costs 10$
    5·1 answer
  • Three less than the product of
    5·1 answer
  • The volume of a cylinder is the product of its height and the area of its
    5·1 answer
  • I Really Need help in this Problem
    9·1 answer
  • How do i find out the payout ratio
    11·1 answer
  • Simplify the expression: -3(h-4)-2(-6h+5) PLEASE HELPPP
    14·2 answers
  • Brainiest to whoever right
    10·1 answer
  • I'm giving 50 points for this ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!