you have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller playgrounds by placing the fencing parallel to one of the sides. What is the largest possible area of the playground

Answers

Answer 1

Answer:

Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

Step-by-step explanation:

Given the data in the question;

2x + 3y = 1000 -------- EQU 1

2x = 1000 - 3y

x = 500 - 3y/2

AREA = x × y = (500 - 3y/2)y

= 500y - 3/2y²

dA/dxy = 500 - 3y = 0

3y = 500

y = 500/3

so from equ 1

2x + 3(500/3) = 1000

2x = 1000 - 500

x = 250

So; Largest AREA A = x × y = 250 × 500/3 = 125000 / 3 = 41666.67 ft²

Dimensions; X = 250 ft and Y = 500/3 ft

You Have 1000 Feet Of Fencing To Enclose A Rectangular Playground And Subdivide It Into Two Smaller Playgrounds

Related Questions

Write an equation of the line that
passes through (-1,2) with a slope of 4

Answers

Step-by-step explanation:

Hey there!

Given;

The points is; (-1 , 2) and slope is 4.

Note: Use one-point formula.

[tex](y - y1) = m(x - x1)[/tex]

~ Put all values.

[tex](y - 2) = 4(x + 1)[/tex]

~ Simplify it.

[tex](y - 2) = 4x + 4[/tex]

[tex]4x - y + 6 = 0[/tex]

Therefore, the required equation is; 4x-y+6=0.

Hope it helps...

What is factoring?
Show us an example of factoring when a=1
Show a second example when a does not equal 1.

Answers

Answer:

Factorizing is the part of math where you find out the equations.

Step-by-step explanation:

Answer:

Factoring is the process of trying to find a numbers factor.

Step-by-step explanation:

Ex: 6 is 2 × 3

at school, the maximum number of students that can be in a class room is 22. if there are 25 students signed up for the geometry class, how many more students can join the class?​

Answers

Answer:

At school, the maximum number of students that can be in a class room is 22. There are 25 students signed up for the geometry class.

Therefore, there are (25-22)=3 extra students.

Hence, no more students can join the class.

Which expression has a value of 9 when x = 4?

Answers

Answer:

right top one

Step-by-step explanation:

3(8-5)=24-15=9

I want to find the side length and get the answer step by step

Answers

Answer:

76 is the length of this rectangle and the width is 72

Step-by-step explanation:

Sorry for the sloppy handwriting

Find the gradient of the line segment between the points (7,2) and (10,-5).
Give your answer in its simplest form.​

Answers

Given:

Two end points of a line segment are (7,2) and (10,-5).

To find:

The gradient of the given line segment.

Solution:

We know that, gradient of a line segment is the slope of that line segment.

The end points of the line segment are (7,2) and (10,-5), so slope or gradient of the line segment is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-5-2}{10-7}[/tex]

[tex]m=\dfrac{-7}{3}[/tex]

Therefore, the gradient of the given line segment is [tex]\dfrac{-7}{3}[/tex].

In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 646 grams of copper. How many grams of zinc does it contain?

Answers

Chemical and enlargement of reduction in okay 12

Rewrite the expression using only positive integer exponents.

Answers

Best option I think is B

Which ordered pair is a solution to the inequality?

Answers

Answer:

C.

Step-by-step explanation:

The equation would be -3 is less than 3(1)+1, which is 4. And -3 is less than 4.

(hope this helps!)

Figure ABCD is transformed to figure A′B′C′D′:

a. Angle D prime A prime B prime.

b. Angle A prime B prime C prime.

c. Angle B prime C prime D prime.

d. Angle C prime D prime A prime.

Answers

Answer:

D. <C'D'A'

Step-by-step explanation:

Given that figure ABCD is transformed to figure A′B′C′D′, therefore the angles of ABCD would be congruent to the corresponding angles of A′B′C′D′.

<CDA corresponds to <C'D'A'. Therefore:

<CDA = <C'D'A'

What is 37-11+23? Have a great night guys!!!! #FREEPOINTS

Answers

Answer:

49 thanks have a awesome night/day

Answer:

37-11+23= 49

Have a good day

Find the solutions of the quadratic equation -9c² +2 +3 = 0.

Answers

Given that,

An equation : -9c² +2c +3 = 0

To find,

Find the value of x.

Solution,

We have, -9c² +2c +3 = 0

We can solve it using the formula as follows :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here, a = -9, b = 2 and c =3

Put the values,

[tex]c=\dfrac{-2\pm \sqrt{(2)^2-4(-9)(3)}}{2(-9)}\\\\c=\dfrac{-2+\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}, \dfrac{-2-\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}\\\\c=-0.47, 0.69[/tex]

So, the solution are -0.47 and 0.69.

Which graph represents an exponential function?

Answers

Answer:

A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.

helpppppppppppppppppppppp​

Answers

Answer:

309 inches squared

Step-by-step explanation:

bottom face: 40

left face: 96

right face: 104

front face: 30

behind face: 30

add them up

Isabel gets 50 dollars a week as an allowance. If Isabel goes to the mall and spends $12 on shorts and $8 on a t-shirt, what percent of his allowance did he spend?

Answers

The percentage he spent is 40%


Jennifer has $30. She goes to the food court to get food and drinks for
friends. Drinks are $2. Food is $3. How many drinks can Jennifer buy if she
buys no food?

Answers

she can buy 15 drinks

(5x - 2y + 1) - (7x - 3y - 4)​

Answers

Answer:

-2x - (-1y) - (-3)

Step-by-step explanation:

Answer:

-2x + y + 5

Step-by-step explanation:

(5x - 2y + 1) - (7x - 3y - 4)

1) Distribute the negative sign and remove all parenthesis

5x - 2y + 1 - 7x + 3y + 4

2) Combine all like terms

-2x + y + 5

Simplify: -20b^8 + 2b^8
Enter the original expression if it cannot be
simplified.

Answers

Answer:

=-18b mini eight lol

Step-by-step explanation:

your heart pumps about 60ml of blood per minute. about how much blood will it pump in a week

Answers

10080 ml

          [tex]\\[/tex]

Answer:

604800ml of blood is pumped every week

Step-by-step explanation:

60×60=3600 (ml per hour)

3600×24=86400 (ml per day)

86400×7=604800 (ml per week)

What is the y-intercept of y = –2:+ 6? Choose 1 answer: (0, -2) (0,6) (-2,0) (6,0​

Answers

Answer:

A circle has the equation x2+ y2 + 2x - 2y - 34 = 0. Graph the circle using the center (h, k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer for each coordinate, using radicals as needed.) There are no intercepts.

Show transcribed image text A circle has the equation x2+ y2 + 2x - 2y - 34 = 0. Graph the circle using the center (h, k) and radius r. Find the intercepts, if any, of the graph. What are the intercepts? Select the correct choice below and fill in any answer boxes within your choice. The intercept(s) is/are . (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer for each coordinate, using radicals as needed.) There are no intercepts.

Step-by-step explanation:

Answer:

[tex]y = - 2x + 6 \\ at \: y - intercept, \: x = 0 \\ substitute \: for \: x \: in \: th e \: equation \\ y = - 2(0) + 6 \\ y = 6 \\ y - intercept = (0,6)[/tex]

2 of 7
© Express in the form n :1
25:5
What is the answer?

Answers

Answer:

5:1

Step-by-step explanation:

n:1

25: 5

to get to five you multiple 1 by 5. You have to reverse the equation to n:1, so 25 divided by 5 is 5. So you'd answer would be 5:1 in the form of n:1.

What is 3/11 of 22/39?

Answers

Answer:

0.1538

Step-by-step explanation:

first convert 3/11 into a percentage

3÷11=0.272727272727273

0.272727272727273 × 100

27.272727272727/100

27.272727272727%

≈27.27%

27.27% of 22/39

change 22/39 into a decimal

22÷39=0.5641025641》0.564

27.27% of 0.564

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 27.27% * 0.564

Converting percent to decimal:

p = 27.27%/100 = 0.2727

Y = 0.2727 * 0.564

Y = 0.1538

Answer:

2/13

Step-by-step explanation:

3/11 of 22/39 is:

22/39 * 3/11 = 22/11 * 3/39 =2*1/13 =2/13

Helpppp fue on Monday major grade

Answers

Answer:

38 °

Step-by-step explanation:

a triangles total side add up to 180°

so, we subtract 180 - 106 = 74

then we subtract 74-36 = 38°

?= 38°

38 degrees is the answer

In a​ triangle, the measures of the three angles are​ x, x + 12 ​, and x-9. What is the measure of each​ angle?

Answers

x + x + 12 + x - 9 = 180
3x = 180 - 12 + 9
3x = 168 + 9
3x = 177
x = 59 degrees

Angle 1 = 59 degrees
Angle 2 = 59 + 12 = 71 degrees
Angle 3 = 59 - 9 = 50 degrees

Answer:

x+(x+12)+(x-9)=180

3x+12-9=180

3x=180-3

3x=177

x=177/3

x=59

Each angle is 59°, 71° and 500°

PLEASE ANSWER ASASP IM DESPRATE IM BEGGING YOU I WILL MARK BRAINLEST!!!!!!!!!!!!!

The equation c = 2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning.

Answers

Answer:

No. A ticket can't be split into 1/2 ,Right?

The points (1, 4) and (0, 2) fall on a particular line. What is its equation in slope-intercept
form?

Answers

y = 2x + 2

that is your slope intercept equations

Area of Parallelogram

Answers

Answer:

area of a parallelogram = base * height

= 21 * 9

= 189 cm^2

hope it helps you

What is the slope of the line with points A and B?




1


-2/3


-1


0

Answers

Answer:

-1

Step-by-step explanation:

A = (0,0)

B = (1,-1)

Slope = (-1-0)/(1-0) = -1/1 = -1

Donald bought a bicycle that cost $50.00 when it was new. If he eventually sold it for
16% of the original cost, how much was it sold for

Answers

Answer:

$8

Step-by-step explanation:

ngl but thats cheap for a $50 bike. is the bike torn in half or somthing

HURRRY PLEASEE.........A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)? |10| + |–4| |10| + |4| |–6| + |4| |10| + |–6|A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)? |10| + |–4| |10| + |4| |–6| + |4| |10| + |–6|

Answers

Step-by-step explanation:

D

i got it right on the quiz

love to help

Answer:the answer is D!

Step-by-step explanation:

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