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
Wewaii [24]
3 years ago
13

You have $7000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want

to have two partitions across the width of the enclosure, so that there will be three separated spaces in the enclosure. The material for the partitions costs $25 per meter. What is the maximum area you can achieve for the enclosure
Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

Answer:

1857.12 square meters

Step-by-step explanation:

Let L be the length of the rectangle and 'W' be the width

Perimeter = 2L + 2W + 2W

The fencing material costs $30 per meter.

The material for the partitions costs $25 per meter

cost=30(2L + 2W) +25( 2W)\\60L+60W+50W\\60L +110W

7000=60L+110W

Solve for L

7000=60L+110W\\7000-110W= 60L\\L=\frac{700}{6} -\frac{11}{6} W

Area = length times width

( \frac{700}{6} -\frac{11}{6} W)(W)\\A(W)=\frac{700}{6}W -\frac{11}{6} W^2

Now take derivative and set it =0

A(W)=\frac{700}{6}W -\frac{11}{6} W^2\\A'(W)=\frac{700}{6} -\frac{22}{6} W

set the derivative =0  and solve for W

0=\frac{700}{6} -\frac{22}{6} W\\\frac{700}{6}=\frac{22}{6} W\\W= 31.8

So width = 31.8 that gives maximum area

L=\frac{700}{6} -\frac{11}{6} (31.8)=58.4

Area = length  \cdot width = 31.8 \cdot 58.4= 1857.12 square meter

You might be interested in
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra
GrogVix [38]

Answer: 8.8 pounds.

Step-by-step explanation:

Hi, to answer this question, first we have to divide the total weight loss in a week (28 kg) by 7 (days in a week).

28 /7 = 4 kg per day

The group lost 4 kg each day.

Finally we have to convert the result into pounds.

Since 1 kg = 2.2 pounds

4 kg x 2.2 = 8.8 pounds.

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
The ones that are circled I need help with! I need this by tomorrow!
Korvikt [17]
1) you need to shade in that last square then draw another 3squares together and shade in 2
3) 3 3/10
5) 13/3
7) 71/8
3 0
3 years ago
Which lines are parallel? Check all that appley
7nadin3 [17]

Answer:

Do you have a diagram? I cant help you if you have a diagram.

Step-by-step explanation:

4 0
3 years ago
a line passes through the point (4 –6) and has a slope of -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D" id="TexFormu
yulyashka [42]

Answer:

y = \frac{5}{4}x - 1

Step-by-step explanation:

A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?

With the slope of 5/-4, and the ordered pair (4,-6) :  

let m = 5/-4 (slope),  

x1 = 4

y1 = -6

We can use those given values into the point-slope formula:

y - y1 = m(x - x1)

Plugging in those values will give you the answer:  

y - (-6) = \frac{5}{-4} (x - 4)

Distribute \frac{5}{-4}  into the terms inside the parenthesis:

y + 6 = \frac{ 5}{-4}x  + 5  

  Subtract 6 from both sides to isolate y:

y + 6 - 6 = -\frac{ 5}{4}x +5 - 6

The equation of the line in slope-intercept form is:

y = -\frac{ 5}{4}x - 1  

6 0
3 years ago
you have a bag with 20 marbles 2 yellow 5 green 12 red and 1 blue which of the following statements are true? Select all that ap
NNADVOKAT [17]
  1. An event has probability 1 if you're certain that it will happen. You are sure to pick a marble that's either yellow, green, red, or blue. So, this probability is 1.
  2. There are more yellow marbles than blue marbles, so it's actually more likely that you'll pick a yellow one, rather than the blue one.
  3. The probability of picking a green marble is given by the number of green marbles divided by the total number of marbles. Compute this ratio and see what you get.
  4. Similarly, the probability of picking a black marble is given by the number of black marbles divided by the total number of marbles. There are no black marbles, so...
5 0
3 years ago
Other questions:
  • What is the slope of the line passing through the points (6, 7) and (1, 5) ?
    12·2 answers
  • Which of the following numbers is irrational? A. 0.25 B. .25 with a line on top C. 0.000000025 D. 0.002536785471264...
    7·1 answer
  • Compare using &lt; or &gt; 8.86_ 8.65​
    14·1 answer
  • Lee’s kitten, Sophia, is 2 1/3 times as heavy as she was last year. Sophia now weighs 21 ounces. What did she way a year ago?
    15·1 answer
  • What is the recursive formula for the sequence? -14, -8, -2, 4, 10,...
    12·1 answer
  • My question is asking me..."A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeter
    7·1 answer
  • What is 4,567 grams, in kilograms? (1 kg= 1,000 grams.)
    11·1 answer
  • Please only answer if you can show your work, and you know all your information is accurate! Topic: Geometry
    9·2 answers
  • ANSWER AND STEPS PLEASE. HELP
    5·1 answer
  • Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74^{\circ}
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!