Suppose that 600 yards of fencing material are available to fence in

two adjacent rectangular corrals sharing a common fence. Find the

dimensions of the corrals that will enclose a maximum area (Please help)

Answers

Answer 1

Answer:

Length = 150 yards

Width = 100 yards

Step-by-step explanation:

We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.

It will take the shape of a rectangle, with a dividing fence down the center.

Let W and L,  Width and Length of the larger enclosure.

See attachment.

W= Area of the larger enclosure.

The perimeter is 2W + 2L.

The dividing fence is 1W

We know that we only have 600 yards of fence, so:

2W + 2L + 1W = 600 yards

Area = W x L

---

3W + 2L  = 600    (yards)

2L  = 600 -3W

L = (600-3W)/2

L = 300 -(3/2)W

---

Use this expression in the Area calculation:

Area = W x L

Area = W x (300 -(3/2)W)

Area = 300W -(3/2)W^2)

To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.

Area' = 300 -2(3/2)W)

0 = 300 - 3W

3W = 300

W = 100 yards

Since 3W + 2L  = 600

L = (600 - 3W)/2

L = (600 - 3(100))/2

L = 150 yards

Area = 150*100 = 15,000 yards^2

 

Suppose That 600 Yards Of Fencing Material Are Available To Fence Intwo Adjacent Rectangular Corrals

Related Questions

Can someone help me. I’ve tried doing this on paper. I don’t know what I’m doing wrong

Answers

ANSWER: x=12
EXPLANATION:
9+x/6=11
(54+x)/6=11 (finding common denominator)
x/6=11-54/6 (rearranging terms)
x/6=(66-54)/6 (finding common denominator so 6 gets cancelled from both the sides)
x=12

[tex]{ \huge \mathfrak \color {pink}{ \tt{answer}}}[/tex]

[tex] \large \color{cyan}{ \tt{x = 12}}[/tex]

Step-by-step explanation:

[tex] \color {cyan}{ \tt{9 + \frac{x}{6 = 11}}} [/tex]

multiply both sides of the equation by 6

[tex]{ \tt{54 + x = 66}}[/tex]

move the constant to the right hand side and change its sign

[tex]{ \tt{x = 66 - 54}}[/tex]

substract the numbers

[tex] \huge \color{magenta}{ \tt{ = \: \: x = 12}}[/tex]

[tex] \large \color{brown}{ \tt{hope \: \: it \: \: helps}}[/tex]

A volunteer group picked up 3 times as many plastic bottles as cans in their community. The number of papers they picked up was 15 more than of the number
of cans. If the volunteers picked up 288 cans, how many more plastic bottles than papers did they pick up?

Answers

try 4,320 for your answer

Which of the ordered pairs are solution to 4+3x=-2y

Answers

Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

Which mathematical statement represents “17 more than a number is 26”?
17 greater-than 26
n + 17 = 26
17 less-than 26
26 + n = 17

Answers

Answer:

n + 17 = 26

Step-by-step explanation:

Let's replace the sentence with mathematical terms:

17 more than a number is 26

More than means addition. The answer will also be a sum.

17 + a number is 26

Since the number is not specified, it will be represented by a variable. In this instance, the variable is n.

17 + n is 26

The equal sign will replace the word "is".

17 + n = 26

Now, we can use the associative property of addition.

17 + n = 26 into n + 17 = 26

Which mathematical statement represents “17 more than a number is 26”?

Answer:

n + 17 = 26  

Step-by-step explanation:

17 more than a number means that you are adding 17 to a number (n) to equal 26.

If you take 17 away from each side you get n = 9

9 + 17 = 26 is a true statement so the equation is correct.

Which other congruency statements are correct?

Answers

Answer:

All are correct there are just disorganized.

Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?

Answers

660/11= 60+3= 63
her monthly pay would be $63

Find the value of theta, to the nearest hundredth if cos they have is -0.7 and theta is in quadrant 2

Answers

Step-by-step explanation:

if I understand you correctly, then

cos(theta) = -0.7

then Theta = 134.427004...°

and that is rounded 134.43°

Somebody please help

Answers

m∠C = 31

m∠D = 83

M∠E = 66

Hope this is helpful!

Luis tiene la mitad de la edad de Juan menos un año, Pedro tiene un tercio menos edad que Luis

Answers

Answer:

dude I would love to help but I don't speak taco bell I'm sorry :/

sum of three consecutive odd numbers is 177. find the number
HINT : let the numbers be x , x+2 and x+4

Answers

x=57

Step-by-step explanation:

x+x+2+x+4=177

3x+6=177

3x=177-6

3x=171

x=57

Therefore the three consecutive numbers are:

57;59;61

Which angle is the largest?​

Answers

Answer:

the 4th choice

Step-by-step explanation:

hope this helps

MAy I get braineist pls????????

7.098/09.977x979.97878

Answers

Answer:

697.19248074 is the answer


Which equation could define the function below?
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)

Answers

Answer:

y= (x+1)(x+ .5) (x+ 3.5)

y= (x+1) (X - .5) (x-3.5)

y = (x-1) (X-.5) (x-3.5)

y= (x+1) (X- .5) (x +3.5)

Step-by-step explanation:

123.90706 written to 3 decimal places is

Answers

Answer:

123.907

Step-by-step explanation:

What is the LCD of 1/5 and 9/7

Answers

35 is the least common denominator
35 is the LCD of 1/5 and 9/7

HELP ME PLEASE

(NO LINKS PLEASE FOR REAL NO LINKS PLEASE)

1. A student and a teacher work together to make toy cars. The student made 2/7 of the total toy cars, 21 less than the teacher. How many toy cars are there?​

Answers

The total number of cars both the student and the teacher made is 49

let

total cars = x

cars made by student = s

cars made by teacher = t

Total = student + teacher

x = s + t

s = 2/7x

So,

x = 2/7x + t

x - 2/7x = t

t = (7x - 2x) / 7

t = 5/7x

Similarly,

s = t - 21

s = 5/7x - 21

equate both s equation

2/7x = 5/7x - 21

2/7x - 5/7x = -21

(2x - 5x) / 7 = -21

- 3/7x = -21

x = -21 ÷ -3/7

= -21 × - 7/3

= (-21 × -7) / 3

= 147/3

x = 49

Therefore, the total number of cars both the student and the teacher made is 49

Learn more about fractions:

https://brainly.com/question/11562149

2.5kg of potatoes cost 1.40
work out the cost of 4.25kg

Answers

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

if you take 3/4 of 1 3/5 how much do you have

Answers

Answer:

1 1/5

Step-by-step explanation:

1.6*3/4

4.8/4

1.2

1 1/5

Answer:17/20Step-by-step explanation:1 3/5 - 3/4 => 8/5 - 3/4=> 32/20 - 15/20=> 17/20Conclusion:

Therefore, the answer is 17/20.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Find the value of x. (3 points each)

(2x + 1)
(x - 43)
A) 81
C) 80
B) 74
D) 86

Answers

Answer:

x+43[tex]1\frac{x}{y} 2[/tex]

Step-by-step explanation:

HALPPPPP :(((((((((((

Answers

Answer: 5

Explanation: 12(3) - 3(1/3)/4(3)-5

                   = 36-1/12-5

                   = 35/7

                   = 5

In triangle ABC, if angle A + angle B = 5 angle C, find angle C​

Answers

Answer:

30

Step-by-step explanation:

A + B = 5C

A + B + C = 180

since A + B is 5C we can rewrite with 5C

5C + C = 180

6C = 180

c = 30

It’s 30 trusttttttttt:———-

Which of the following proves these
triangles are congruent?
B
ASA
SAA
neither
Help plz

Answers

Answer: I’m pretty sure it’s SAA

Step-by-step explanation: if it were ASA the side would be in between the two congruent Angles but that’s not the case here. And it has enough information so it’s also not neither.

The statement that proves that the triangles are congruent is SAA

From the figure, we have the following highlights

A corresponding side (S) on both triangles is equalTwo corresponding angles (AA) beside one another are also equal

This means that, the congruent statement is SAA i.e. Side-Angle-Angle

Hence, the statement that proves that the triangles are congruent is SAA

Read more about congruent triangles at:

https://brainly.com/question/1675117

352 is 32% of what number?​

Answers

Answer:

1100

Step-by-step explanation:

[tex]x+y=-9\\ x+2y=-25\\what is value of x[/tex]

Answers

x + y = -9

x + 2y = -25

Rewrite the first equation as x = -9-y

Relace x in the second equation:

-9-y + 2y = -25

Simplify:

-9 +y = -25

Add 9 to both sides:

y = -16

Now you know y,, replace y in the first equation and solve for x:

x -16 = -9

Add 16 to both sides:

x = 7

Answer: x = 7

2) 4x - 4y = -12
x + 4y = -18

Solve by elimination

Answers

[tex]\left \{ {{4x - 4y = -12} \atop {x + 4y = -18}} \right. <=>\left \{ {{5x=-30} \atop {x + 4y = -18} \right. <=> \left \{ {x=-6} \atop {y=-3} \right.[/tex]

ok done. Thank to me :>

What is the difference of the two polynomials? (7y2 6xy) â€"" (â€""2xy 3) 7y2 4xy â€"" 3 7y2 8xy â€"" 3 7y2 4xy 3 7y2 8xy 3.

Answers

Answer:

There is no difference

Step-by-step explanation:

The difference between the polynomials is 7y² + 8xy - 3

Polynomials are functions that have a degree of power greater than two.

According to the question we are to find the difference between the polynomials (7y2 + 6xy) - (-2xy + 3)

f(x, y) = (7y^2 + 6xy) - (-2xy + 3)

f(x, y) = 7y² + 6xy + 2xy - 3

f(x, y) = 7y² + 8xy - 3

Hence the difference between the polynomials is 7y² + 8xy - 3

Learn more on polynomials here: https://brainly.com/question/4142886

The quotient of s and three

Answers

Answer:

s/3

Step-by-step explanation:

The quotient means you divide the two values.

Autumn made 72 more cupcakes thsn Averle.If Autumn made 88 cupcakes how many did Averle make

Answers

Based on the number of cupcakes that Autumn made and the relationship to Averle, the number of cupcakes made by Averle was 16 cupcakes.

Autumn made 72 more cupcakes that the cupcakes made by Averle.

Autumn made 88 cupcakes which means that the number of cakes made by Averle must have been 72 less than this:

= 88 - 72

= 16 cupcakes

In conclusion, Averle made 16 cupcakes.

Find out more on this kind of operation at https://brainly.com/question/17829864.

8 times a certain number is added to 5 times a second number to give 184.

Answers

Answer:

8x+5y=184

Hope This Helps!!!

through:(-3,-1), slope=4/3

Answers

Y+1 =4/3(x+3) this is in point-slope form.
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