A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a function of one of its dimensions, x. A(x) = x(x - 200) A(x) = x(x - 200) A(x) = x(400 - x) A(x) = x(400 - x) A(x) = x(200 - x) A(x) = x(200 - x) A(x) = (200 - x)2

Answers

Answer 1

Answer:

A(x) = x(200-x)

Step-by-step explanation:

400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet

If x is length and y is breadth. Perimeter is given by :

P = 2(x+y)

400 = 2(x+y)

⇒ (x+y) = 200 .....(1)

y = 200-x

Area of a rectangle is given by :

A = xy

A(x) = x(200-x)

Hence, the area as a function of length of rectangle is x(200-x).


Related Questions

3x+29>4(x+7)
how do I solve this and the answer is NOT x<8 the answer is supposed to be x<1 but I don't know how to get there.

Answers

It’s a big huge nice pizza that has the best cheese and stuff I just want points so idc
Idk try to look it up you’ll find it

Question 30
A person standing 44 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles
are similar.

Please help!!!

Answers

Answer:

a. 26 ft

Step-by-step explanation:

When triangles are similar their sides are proportional

4/8 = h/(44+8)

1/2(52) = h

h = 26

5.201 × 10
pls now
help​

Answers

Answer:

52.01

Step-by-step explanation:

5.201 x 10, move the decimal to the right.

52.01

Answer: 52.01

I believe it is 52.01.

Sorry  if it isn't correct.

I tried my best.

Hope this helps!!   :'(

PLEASE HELP ME WITH MY PERSONAL NARRATIVE ESSAY

Answers

its a personal essay...

At park junior high 10% or 160 of the students play a musical instrument how many students attended the school? Which statements are correct check all that apply. A.the total number of students is 160 C.the percent to whole ratio is 10/100 D.the percent as a part to whole ratio is 160/100 E.there are 1600 students in the school F.there are 250 students in the school. ​

Answers

Answer:

B, C, E

Step-by-step explanation:

10%   ⇔ 160100% ⇔ 10*160 = 1600

Note. Got full answer options elsewhere

A. The total number of students is < 160.  

Incorrect (1600>160)

B. The total number of students is > 160.  

Correct

C. The percent as a part-to-whole ratio is  10/100.  

Correct

D. The percent as a part-to-whole ratio is 160/100.

Incorrect (10/100)

E. There are 1,600 students in the school.  

Correct

F. There are 250 students in the school.

Incorrect (1600)

Answer:

B and C and E are 100% correct

Step-by-step explanation:

I completed this and got it right. Hope it helps !

8(k - 6) +58 = 2(4k + 5)
one solution
no solutions
infinite solutions

Answers

Answer:

infinite solutions

Step-by-step explanation:

Given

8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides

8k - 48 + 58 = 8k + 10 , that is

8k + 10 = 8k + 10

Since both sides are equal then any value of x will make the equation true.

There are an infinite number of solutions

Are the following ratios equivalent? Explain.
2:10
6:60

Answers

Answer:

No

Step-by-step explanation:

it would 12:60

6x2=12

6x10=60

Answer:

they are not equivalent

Step-by-step explanation:

7 : 35

12 : 60

17 : 85

22 : 110

hear are ratios that are equivalent to 2:10

Slope of -3,2 need help

Answers

Answer:

I think the answer is 2/-3

Step-by-step explanation:

-3/2

x   y

Rise/Run

Which numbers are less than –83? Select all that apply.
A -2.6 repeating
B. -2.76
C - 2 1/4
D -11/4
E -2

Answers

Answer:

I am pretty sure the answer -2.76 and -11/4

Step-by-step explanation:

george is going to rent a car for 10 hours to use for travel. he will figure his cost by using the chart below. what is his cost for 10 hours?

Answers

Answer:

Where's the chart?

Step-by-step explanation:

What is the volume of the figure below, which is composed of two cubes with side lengths of 9 units?
A.
54 cubic units
B.
729 cubic units
C.
1,458 cubic units
D.
810 cubic units

Answers

Answer:

C. 1458 cubic units

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

hope this helped youuu

Answer:

C. 1458 cubic units.

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

Hope this helps you!!

Please Mark me Brainleast!!!!!!!

solve for U

32=2u

Simplify your answer as much as possible.

Answers

Answer:

16

Step-by-step explanation:

32 divided by 2 equals 16 so u = 16

U=16
You do 32/2 to get U, 32/2=16 so that would be your U.

Hope this helps!

Which statement best models the equation 10+(−10)=0 ?

Answers

What are the statements? So I can help you out

You send 12 text messages in one day. The total cost $2.28. How much does each text message cost

Answers

Answer:

.19

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.28 divided by total messages

2.28÷12= 0.19

Correct answer 19 cents for each text.

Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.

Answers

Answer:

y = 1.37

Step-by-step explanation:

30y = 41.10

divide both sides of the equation by 30

30y/30 = 41.10/30

y = 41.10/30

y = 1.37

What is the angle measure to angle a

Answers

Answer:

56

Step-by-step explanation:

180 - 56 = 124

so, angle a = 124 degrees

hope this helps!! <3

what is x

8(3x+6)=168

Answers

Answer:

x=-5

Step-by-step explanation:

24x+48=168

24x-120

x=5

8(15+6)=168

120+48=168

168=168

Answer: 5

Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168

what is the vaule of x?​

Answers

Answer:

-1

Step-by-step explanation:

all of them add up to 1

you have 6 pieces confirmed to be the value of 1

if 5 blocks so if they all equal-1 then you'd have to add 6 + (-5) then you'd get 1

hope this helped

The table and statement show the hours worked and the amounts paid for two workers.

A table labeled Worker A Earnings. It contains a row for Hours worked with the amounts 7, 12, 21, 33, 40, and a row for Amount paid with the amounts 87.50, 150, 262.50, 412.50, and 500.

Worker B earns $11.25 per hour

Which statements about the rates of pay for the two workers are true?

Select each correct answer.




Worker A earns less per hour than Worker B.

Worker B earns more after 10 hours than worker A.

Worker A earns $12.50 per hour.

After 20 hours of work, Worker A earns more than Worker B.

Answers

1st statement is correct

2nd statement is correct.

finding the average hours worker A does and then the average amount paid i got

average hrs = 22.6 hrs and average amount paid= $250

so comparing them to one hr i got the amount paid to worker A in one hr which is $1.11

so compare to worker B earnings and find the true statements

Answers:

Worker A earns $12.50 per hour.After 20 hours of work, Worker A earns more than Worker B

Proof:

( Down below!! )

[ I hope this helps!!! ]

-GXLDIE <3

Representing each situation by translating it to algebraic expression.

- a motorcycle driver travels 15kph faster than a bicycle rider. the motorcycle driver covers 60km in two hours less than the time it takes the bicycle rider to travel the same distance.​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Motorcycle driver travels 15kph faster than a bicycle rider

Motorcycle covers 60km in 2 hours less than the time it takes bicycle rider to travel the same distance ;

Let bicycle rider's speed = r kph

Motorcycle driver's speed = (15 + r) kph

TIME it takes bicycle rider to cover a distance of 60km = t hours

TIME it takes motorcycle driver to cover a distance of 60km = (t - 2) hours

 what is the slope of the line Y= -4

Answers

The slope would be 0

Every Friday, Jesse puts $3 into his piggy bank. is it discrete or continuous?

Answers

Answer:

I would think continuous if she does it constantly every friday night

Step-by-step explanation:

Answer:

continuious

Step-by-step explanation:

Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.

Answers

Answer:

gdgdgdgdgddggddggdgddggd

Step-by-step explanation:

) You owe $135. on your credit card. You make a $45. payment and then purchase $97 worth of clothes at Kohl’s. What is the integer that represents the balance owed on the credit card?

Answers

Answer:

$ 187

Step-by-step explanation:

Assuming the credit card is for Kohl's,

You make a 45 dollar payment: your debt goes down by 45

You make a 97 dollar purchase: your debt goes up by 97

135-45+97

Your current debt is 187 dollars. Not a nice way to live if you ask me!

Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9 and FG = 3x +17

Answers

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}=\frac{8}{2}[/tex]

x = 4

→ Substitute x by 4 in EF and FG to find their lengths

EF = 5(4) + 9 = 20 + 9 = 29

FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

EG = 29 + 29 = 58

The length of EG is 58 units

Is the point (20,13) on this line? Explain your reasoning​

Answers

Answer:

Not sure what the "line" is! But I put a graph down below!

Step-by-step explanation:

To plot  ( 20 , 13 ) , start at the origin  ( 0 , 0 )  and move right  20  units and up  13  units.

Well I don’t know the answer lol but I’m just showing people that don’t know what it is.

-3x+12=24 what is the x intercept

Answers

Answer:

x = -4

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

Answer:

The x intercept is -6.

Step-by-step explanation:

12 - 24 = 12

-3xc = 12

-3/12 = -6

x = -6.

Simplify 1x + (-4 - 56) + 123.5 x 56x

Answers

Answer:

1x+(-4-56)+123.5×56x=

1x+(-4)+(-56)+123.5×56x=

1x+(-60)+123.5×56x=

-61x+123.5×56x=

184.5x×56x=

10332x¹+¹=

10332x²

Answer: 6917x-60
Solving Steps:

What is the reciprocal of 6 1/5

Answers

Answer:

0.16129032258   or maybe just 0.161

Step-by-step explanation:

An electronics manufacturer has 175 capacitors and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 35 circuit boards. Identify and interpret the intercepts, then use the intercepts to graph the line

Answers

Animals eat grass except for carnivals but they all live till they dies in a clan of the

Answer:

its on google

Step-by-step explanation:

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