Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write
an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
2 (12 + w) + 2w < 560
(12 + 2) + w < 560
o 2(12 + w) + 2w< 560
0 (12+w) + w < 560

Answers

Answer 1

Answer:

2(2W+12) < 560

Step-by-step explanation:

Perimeter of a rectangular dog pen P = 2(L+W) where;

L is the length of the dog pen

W is the width of the dog pen

If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12

If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560

The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)

Substituting the given parameters;

2([W+12]+W)<560

2(2W+12)<560

Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560


Related Questions

Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.

Answers

Answer:

10.75 is the answer I think

The temperature falls from 0 degrees to -12.4 degrees in 3 hours. Which expression finds the change in temperature
per hour?

Answers

Answer: should be 4.13

Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on

please help ! Easy 7th grade math ! It’s talking about integers!!

Answers

the answer is -7

since it says “under par” it means that it’s in the negative area. now that we know the area that the number is in we can conclude it’s -7 :)

The sum of ages of three brothers is 79. If James I’d half as old as Brandon and Marshall is 11 years younger then Brandon how old is the youngest brother?

Answers

Answer:

The youngest brother is James and his age is 18 Years.

Step wise explaination:

Lets suppose,

age of James = x

age of Brandon = 2x

age of Marshall = 2x - 11

The sum of ages of three brothers = 79

now,

finding the value of x,

x + 2x + 2x - 11 = 79

or, 5x - 11 = 79

or, 5x = 79 + 11

or, 5x = 90

or, x = 90

5

so, x = 18.

Then,

age of James = 18.

age of Brandon = 18 = 36.

age of Marshall = (2×18) - 11 = 25.

Therefore,

The youngest brother is James and his age is 18 Years.

Please mark me as Brainliest.

help..........me .................

Answers

Answer:

good morning foul human i cannot help you because i cant see your images if you could type them out i might have enough brain cells left to help you adios amigo

Step-by-step explanation:

()  c=3

reflect (9, -3) across the y-axis. Then reflect the resukt across the x-axis. what are the coordinates to the final point

Answers

Answer:

(-9, 3)

Step-by-step explanation:

Reflect over y-axis: (-9, -3)

Then over x-axis: (-9, 3)

I NEEED THIS NOW PLS HELP ME

Answers

Answer:

56cm²

Step-by-step explanation:

To solve this question, find the area of the triangles separately and then add all the areas to find the total area of the kite.

Attached is the image of my work    

Answer:

56 cm²

Step-by-step explanation:

The area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals

   = [tex]\frac{1}{2}[/tex] × d₁ × d₂

d₁ = 4 + 4 = 8 and d₂ = 10 + 4 = 14

A = [tex]\frac{1}{2}[/tex] × 8 × 14 = 4 × 14 = 56 cm²

Name the property that is being demonstrated
8-2=-2+8
Commutative Property
Associative Property
Zero Product Property
Multiplication Property of -1
Deductive Reasoning Property

Answers

Answer:

            Commutative property

Step-by-step explanation:

The "Commutative Laws" say:  when we add we can swap numbers over and still get the same answer.

8 - 2 = (8) + (-2) = (-2) + (8) = -2 + 8

It’s commutative property, the way doesn’t matter because it is still the same answer!

Line segment JK in the coordinate plane has endpoints with coordinates \left(-4,11\right)(−4,11) and \left(8,-1\right)(8,−1).Supposed J, P, and K are collinear on segment JK, and JP:JK=\frac{1}{3}JP:JK=1/3 . What are the coordinates of P?

Answers

Answer:

(-1, 8)

Step-by-step explanation:

Given P to be the point that divides the coordinates J and K in the ratio 1:3

then the coordinate of point P will be xpressed as;

P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]

Given J = (-4, 11) and K = (8, -1)

[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]

substituting the given parameters into the line division formula

[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]

Hence the coordinates of P is (-1, 8)

Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)

Answers

Answer:  (4,2)

==========================================================

The given points are T(3,1) and U(5,3)

The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.

The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.

The midpoint is (4,2)

Effectively, we just used the midpoint formula

[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]

In short: add the corresponding coordinates, then divide by 2.

what is 5000000 times 21113221

Answers

Answer:

1.0556611e+14

Step-by-step explanation:

1.05566105 + 14

Show Your Work. Find The Length of SU ~(Will Give Brainliest) :)

Answers

Answer: 14

Step-by-step explanation: 14 because QU is 24, RU is 19, so SU has to be 14. 24-5=19 19-5=14

Answer:

14

Step-by-step explanation:

QR = 5   RS = 5   and   ST = 5

If all of these distances are equal to 5 then all you need to do is subtract the distance of RU, which is 19, from ST, which is 5, and that'll be your answer.

I NEED HELP ASAP PLEASEEE
Evaluate the expression for r = 5.
2r2 − 10r + 40 + 2r =

Answers

Are you looking for what the answer to the equation because that is 212

Answer:

50

Step-by-step explanation:

[tex]2( {5}^{2} - 10 \times 5 + 40 + 2 \times 5) \\ = 2(25 - 50 + 40 + 10) \\ = 50[/tex]

4(2-4x)-3x=65 Whats the answer and how did you solve it?

Answers

Answer:

x= -3

Step-by-step explanation:

Distribute 4(2-4x) which leaves you with 8-16x-3x=65

combine the like terms which leaves you with 8-19x=65

subtract 8 from both sides 8-19x-8=65-8 which leaves you with -19x=57

lastly divide -19 from both sides which leaves you with x= -3

What is the value 4 x (-6.3)

Answers

Answer:

-252

Step-by-step explanation:

4 * -6.3

-252

Anytime you multiply a positive number to a negative number, it will always be negative.

Best of Luck!

Answer:

-252 is the correct answer to this question

Divide8/9 and 8. Express your answer in simplest form

Answers

Answer: The answer is 0.11 in decimal form.

Step-by-step explanation:

A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Find the length of each part.

Answers

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.

Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour

Answers

Answer:5

Step-by-step explanation:

30 chapters in 6 hours. 30/6 =5

5 chapters per hour

Divide 30 by 6 and it gives you 5
If you want to check ur answer, plug in ur answer which in this case it’s 5 and multiply it by 6, it gives you 30 chapters in 6 hours.

In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
double. If there were originally 125 bacteria, how many are there after three hours?

Answers

Answer:

Hi there!

Your answer is;

There are 50 bacteria after 3 hours

Step-by-step explanation:

After three hours, with a rate of 20% an hour, 60% should have died

20% of 125 is?

100% is 125

/100

1% is 1.25

×60

60% is 75

125-75= 50

Hope this helps

What’s the answer for the problems 11-15 in the picture

Answers

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answers

This question is incomplete and lacks the required diagram

Complete Question

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answer:

Yes, he has enough ribbon to decorate the top of the box.

Step-by-step explanation:

From the above question, we are told that the volume of the box = 296cm³

Volume of the box = a³

296cm³ = a³

a = √296cm³

a = 6.6644437033cm

The side length of the box = 6.6644437033cm

The length of the ribbon = 24 1/4 inches

= 24.25 inches long.

Converting this to centimeters =

1 inch = 2.54cm

24.25 inches =

24.25 × 2.54 cm

= 61.595cm.

Length of the ribbon = 61.595cm.

Since from the above, we know the edges of the cube = square

Edge length of the box = 6.6644437033cm

The perimeter of a top of the box

= 4a

= 6.6644437033cm × 4

= 26.657774813 cm

Subtracting the perimeter of the top of the box from the length of the ribbon

61.595cm - 26.657774813 cm

= 34.937225187 cm ( ribbon left)

Therefore, he has enough ribbons left

100 pts f f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.

Answers

Answer: x=6.9

Step-by-step explanation:

In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.

65.37= 8.3x + 8.1                [subtract both sides by 8.1]

57.27=8.3x                          [divide both sides by 8.3]

x=6.9

Now, we know x=6.9.

Answer:

6.9

Step-by-step explanation:

Factor out gcf
16x5 – 12x3

Answers

Answer:

(16 and 5 = gcf of 1) 12 and 3 = gcf of 3

Step-by-step explanation:

divid both to find the answer

Mr. Hunt took Mrs. Hunt out to the movies. The tickets cost $18 for both, the popcorn was $7.50 and they shared a $5.25 drink. How much did thier night out cost if the tax rate is 8%?

Answers

Answer:

their night cost them $33.21

Step-by-step explanation:

Solve using 2-step equations.
You got a job which only pays salary without commission.
You earn $40,000 per year. You're living with your parents,
so bills this month will only be $400, but you want to put
$2000 into your savings.
After paying bills and putting money aside in savings, how
much will you have left over?

Answers

400 x 12 = 4800
4800 + 2000 = 6800
40000 - 6800 = 33200

You will have $33,200 left over

find the unknown side length, x. write your answer in simplest radical form

Answers

11^2+11^2= √242

Answer is 11√2

what is the definition of a point?

Answers

A point is a 0-dimensional mathematical object which can be specified in -dimensional space using an n-tuple ( , , ..., ) consisting of. coordinates. In dimensions greater than or equal to two, points are sometimes considered synonymous with vectors and so points in n-dimensional space are sometimes called n-vectors.

Answer:

In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects.

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest, and press the heart to thank me. Thank you so much, let's spread the learning! ;)

26°
58°
X
What is the measure of angle x in degrees?
a. 70°
b. 84°
C. 96°
d. 122°

Answers

Answer:

b. 84

Step-by-step explanation:

180-26-58=96

180-96=84

Find (f+g)(x).
f(x) = 2x2 – 2x+7
g(x) = 4x2 – 2x + 9

Answers

Answer:

6x^2 -4x +16

Step-by-step explanation:

(2x^2 -2x +7) + (4x^2 -2x +9)

6x^2 -4x +16

Write an equation in slope-intercept form for the like with slope 3/4 and y-intercept -2?

Answers

Answer:

y=3/4x-2

Step-by-step explanation:

For a slope intercept for, you have the formula y=mx+b where you would place the slope in the spot of m and the y-intercept in the spot of b.

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