You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in
half. What are the largest dimensions of this enclosure that you could build?

Answers

Answer 1

Let x = length and y = width

You would have 2 lengths, so 2x and 3 widths, so 3y

Those need to equal total length of fence:

2x + 3y = 1200

The 3 widths would equal total fence minus the 2 lengths:

3Y = 1200-2x

Solve for y: y = 400 -2/3x

Area = length x width = xy. Replace y :

Area = x(400-2/3x) = 400x-2/3x^2

Differentiate:

400-4x/3 =0

4x/3 = 400

4x = 1200

X = 300

Y = 400-2/3(300) = 200

The dimension would be 300 ft x 200 ft


Related Questions

What are the solutions of x²-7x+13=0?

Answers

Answer:

The answer is A

Step-by-step explanation:

Can someone help me please

Answers

Answer:

Can't properly see the question mate

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

A whole line equals to 180 degrees.

180-15=165

Hope this helps plz mark brainliest!

The lengths of the sides of these squares are 1 , 4 , 7 , 8 , 9 , 10 , 14 , 15 and 18. What is the area of Morón’s rectangle?

Answers

Answer:

1056

Step-by-step explanation:

The computation of the area of the rectangle is shown below;

But for that first we have to compute the area of square which is

As we see in the diagram that there are 9 square sides

i.e 1,4,7,8,9,10,14,15 & 18

And, as we know that

Area of Square  is

[tex]= Side^2[/tex]

[tex]1^2 = 1[/tex]

[tex]4^2 = 16[/tex]

[tex]7^2 = 49[/tex]

[tex]8^2 = 64[/tex]

[tex]9^2 = 81[/tex]

[tex]10^2 =100[/tex]

[tex]14^2 = 196[/tex]

[tex]15^2 = 225[/tex]

[tex]18^2 = 324[/tex]

So, the Total Area is

= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056

Area of rectangle = 1056  

So, it can come from

[tex]1056 = 33 \times 32[/tex]

As the area of rectangle is

[tex]= length \times width[/tex]

What is the slope of the line that passes through the points (-9,2) and (1,27)? Write your answer in simplest form

Answers

Answer:

      5/2

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

    = (27-2)/(1 - -9)

    = (27-2)/(1+9)

    = 25/10

         5/2

A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
A.2 ft by 6 ft
B.2 ft by 8 ft
C.4 ft by 3 ft
D.4 ft by 4 ft
PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

You can check to see if it is A is you do A = Bh

The base in this question is 6 while the height is 2. To vcheck area you can multiply these to get 12 units squared. To check the perimeter, you can draw a picture. Label each side, you know that there are going to be two 2's and 2 6's so you can add those for the perimeter:

2 + 2 + 6 +6 = 16 units for the perimeter

The answer will be c !

Please help I really need it it’s too soon I will give brainless a thank you and five stars

Answers

Answer:

6

Step-by-step explanation:

3/4=6/8

1/8x=6/8

x=6

Joe hosted a praty 582 people came he charged 15 dollars for balcony seats and 10 dollars for ground seats how many people bout the ground seats and the balcony seats if he raised 6480

Answers

Answer:

Ground seats = 450 people

Balcony seats= 132 people

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)

15 b +10 g =6480

The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).

b+g = 582

Multiplying the second equation by 10, and subtracting it to the first equation:

15 b +10 g =6480

-

10b+10g = 5820

__________

5b =660

Solving for b

b = 660/5 = 132

Substituting b=132 in the second equation:

132+g = 582

g= 582-132

g= 450

A bag of 60 skittles has an equal amount of red, orange, yellow, green, and purple what is the probability of choosing a green

Answers

Answer:

1/5

Step-by-step explanation:

60 /5 = 12

So there are 12 red, 12 orange, 12 yellow, 12 green, 12 purple

P(green) = green/ total = 12/60 = 1/5

Answer:

If a bag of skittles has and equal amount of red,orange,yellow,green and purple there are 60 colors and 5 colors so 60 skittles and 5 colors divided give u 12 so that means that there are 12 skittles of each color so the probability would be 12 out 60 skittles  

Step-by-step explanation:

Simplify the expression below.

​ (12s4−6s2+4s)+(6s4−4s+27)−(4s4+s2+12)

Answers

Answer:

=14s4−7s2+15

Step-by-step explanation:

Steps:

1: Distribute the Negative Sign

=12s4−6s2+4s+6s4−4s+27+−1(4s4+s2+12)

=12s4+−6s2+4s+6s4+−4s+27+−1(4s4)+−1s2+(−1)(12)

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

2: Combine Like Terms

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

=(12s4+6s4+−4s4)+(−6s2+−s2)+(4s+−4s)+(27+−12)

=14s4+−7s2+15

Answer: =14s4−7s2+15

Hope this helps.

which are true regarding the statement

Answers

Answer:

1.  It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

2. The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

5. The conclusion is: it is a trapezoid.

Step-by-step explanation:

→The answer would be the first because it can be written as a statement like this. The statement is also proven to be true.

→The answer would be the second because it is a hypothesis statement. It is using the information of a "quadrilateral," and "one pair of parallel opposite sides," to form an answer/conclusion.

→The answer would be the last/fifth because the conclusion of the statement is that the unknown shape is actually a trapezoid, based on the information that has been provided to us.

I need help with this can someone please please help me

Answers

Answer:

SAS

Step-by-step explanation:

a bicycle trail in the shape of a circle has a diameter of 3 miles. Michelle biked around the trail 4 times. about how far did Michelle bike? A. 19 miles B. 28 miles C. 38 miles D. 113 miles

Answers

Answer:

C 38 miles

Step-by-step explanation:

to figure out how long is 1 round of the circle we will find circumfrence of circle. C = 2 * π * R. So the r = 1/2 of the diameter which is going to be 1.5 miles. so we multiply 2 by π by 1.5 which gives us an answer of 9.4 something Then times it by four to get ur final answer which is going to be 38 miles after rounding.

Work out 97.974436 + 14 give your answer to 2 decimal places

Answers

Answer:

111.97

Step-by-step explanation:

97+14=111

to 2dp =.97

•°•=111.97

Need help please guys.

Answers

Answer: x= 21.6

Step-by-step explanation:

12^2  + 18^2  =x^2

144 + 324 =x^2

468  = x^2

c=  21.633  

To the nearest tenth place  is c= 21.6

12^2 + 18^2 = x^2

answer: 21.63

which of the following is the coefficient in the algebraic expression 5y-z3

Answers

Answer:

The coefficient is 5

Step-by-step explanation:

A number on its own is called a Constant. A Coefficient is a number used to multiply a variable (4x means 4 times x, so 4 is a coefficient) Variables on their own (without a number next to them) actually have a coefficient of 1 (x is really 1x)

please mark brainliest!

Shawna works at a local pet store. When she works 3 hours, she earns $27. When she works 8 hours, she earns $72. Which equation represents her total wages y based on the hours that she works x?

Answers

Answer:

8+3=w 27+72=x

Step-by-step explanation:

Answer:

y = 9x

Step-by-step explanation:

Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) What is the probability that Teo has more than $8?

b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?

Answers

Answer:

ooga booga ooga booga ooga booga ooga booga

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

I’m lazy to do this XD But I’m kinda confused

Answers

Answer:

1) 20 Students    2) 5 Students 3) 11 Students

Step-by-step explanation:

1) Count how many numbers are there (not digits)

2) Count the number of 3's and 4's found

3) Count the number of times a number equal to or greater than 6 appears in the data range.

Solve the following equation. Then place the correct number in the box provided. 3y + 2 ≥ 5y +8

Answers

Answer:

[tex]y\leq -3[/tex]

Step-by-step explanation:

[tex]3y+2 \geq 5y+8 \\\\3y\geq 5y+6\\\\-2y\geq 6\\\\y\leq -3[/tex]

Hope this helps!

Answer:

-3 ≥y

Step-by-step explanation:

3y + 2 ≥ 5y +8

Subtract 3y from each side

3y-3y + 2 ≥ 5y-3y +8

2 ≥ 2y +8

Subtract 8 from each side

2-8 ≥ 2y +8-8

-6 ≥ 2y

Divide by 2 on each side

-6/2 ≥ 2y/2

-3 ≥y

What is the solution of each proportion?

Answers

Answer:

The polygons are not similar.

Step-by-step explanation:

They do not have proportional side lengths, so they are not the same

Answer:

The polygons are not similar.

Can someone make sure that the first one is right and can someone help me with the second one please I need to get this right please

Answers

Answer:

1. B

2. A

Step-by-step explanation:

1. Here, the figure is reflected over the line depicted. This answer is correct.

2. Here the image shifts down and across, making it a glide.

When a number is doubled and then taken away from ten, the result is negative eighteen. What is the
number?

Answers

Answer:

14

Step-by-step explana:

Let the required number be x

Therefore, according to the given condition:

10 - 2x = - 18

10 + 18 = 2x

28 = 2x

x = 28/2

x = 14

Hence, the required number is 14.

SCHOOLS DONE WOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Answers

Answer:

Maybe for you....

Step-by-step explanation:

;'(

wow good for you i still need to do my last studysync lol

:(

Triangle QRS was dilated using the dilation rule DP,4.




What is PR'?


6 units

9 units

12 units

15 units

Answers

Answer:

PR' = 12units

Step-by-step explanation:

When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.

If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image.

Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.

According to the diagram,  side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR

PR' = 4 * PR

PR' = 4*3

PR' = 12units

×+7-8×/3=-5×/2 please help me with this please please
please


Answers

Step by step :345
897494

Answer:

[tex]x=-14[/tex]

Step-by-step explanation:

[tex]\frac{x+7-8x}{3}=-\frac{5x}{2}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\left(x+7-8x\right)\cdot \:2=-3\cdot \:5x\\Simplify\\2\left(-7x+7\right)=-15x\\\mathrm{Expand\:}2\left(-7x+7\right):\quad -14x+14\\2\left(-7x+7\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=-7x,\:c=7\\=2\left(-7x\right)+2\cdot \:7\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a\\=-2\cdot \:7x+2\cdot \:7[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:7=14\\=-14x+14\\-14x+14=-15x\\\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\-14x+14-14=-15x-14\\\mathrm{Simplify}\\-14x=-15x-14\\\mathrm{Add\:}15x\mathrm{\:to\:both\:sides}\\-14x+15x=-15x-14+15x\\\mathrm{Simplify}\\x=-14[/tex]

A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 93.5 in. What is the height of the​ pyramid?

Answers

Answer:

The height of the pyramid is 92.67 inches

Step-by-step explanation:

Here, we are interested in calculating the perpendicular height of the pyramid given the slant height of the pyramid.

Now, let’s say that the side of the square is a, half of this length is r and the slant height is represented by s.

Mathematically, from Pythagoras’ theorem, we know that the square of the hypotenuse equals the sum of the square of the two other sides.

With the hypotenuse being the slant height s,

s^2 = r^2 + h^2

but r is just half of the length of the side of the square base = a/2 = 24.8/2 = 12.4 inches

93.5^2 = 12.4^2 + h^2

h^2 = 93.5^2 - 12.4^2

h^2 = 8742.25 - 153.76

h^2 = 8,588.49

h = √(8,588.49)

h = 92.67 inches

Which of the following is the complete factorization of the polynomial below?
X-5x2+2x+8

Answers

if u factor by grouping it's (-x-1)(5x-8) i hope this helped

Describe the location of the point having the following coordinates. negative abscissa, positive ordinate Answer Choices A).Quadrant | B).Quadrant || C)Quadrant ||| D). Quadrant |V

Answers

The answer to this question is option B

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

x = - 9, x = 10

Step-by-step explanation:

Given

x² - x - 90 = 0

Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)

The factors are - 10 and + 9, since

- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus

(x - 10)(x + 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 9 = 0 ⇒ x = - 9

lesser x = - 9

greater x = 10

Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car?

Answers

Answer:

4 days in total

Step-by-step explanation:

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Step-by-step explanation:

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