Cheryl fenced in a rectangular kennel and used more fence to divide it into six equally sized sections for her dog i


h is friends as shown. The length of each section is 2 feet more than 3 times its width.


T


If the total amount of fence used for the kennel is 113 feet, what is the area of each section?


Enter the value of the answer in the first blank and enter the units in the second.


Enter your answer in decimal form. Round to the nearest tenth if rounding is necessary.


Enter units as ft., square ft., or cubic ft.

Answers

Answer 1

Answer:

The area of each section of the kennel is 33 square ft

Step-by-step explanation:

The given parameters for the fencing are;

The length of each section, L = 2 ft + The width, 3×W

The total amount of fencing = 113 feet

The The total perimeter of the kennel = 12·W + 7·L = 113

Were we are given L = 2 + 3·W

By substitution, we have;

12 × W + 7 × (2 + 3·W) = 113

33·W + 14 = 113

33·W  = 113 - 14 = 99

W = 99/33 = 3

W = 3 ft.

L = 2 + 3·W = 2 + 3 × 3 = 11

L = 11 ft.

The area of each section of the kennel, A = L × W = 3 × 11 = 33 square ft.

The area of each section of the kennel = 33 square ft.


Related Questions

Nothing but slope.................

Answers

Answer:

1. 1

2. 3

3. 4

Step-by-step explanation:

Simplify square root of 5 multiplied by the cube root of 5 . (10 point)

Group of answer choices

5 to the power of 7 over 6

5 to the power of 2 over 3

5 to the power of 5 over 6

5 to the power of 1 over 6

Answers

It's 5 to the power of 5 over 6

[tex] \sqrt{5} \times \sqrt[3]{5} [/tex]

[tex] {5}^{ \frac{1}{2} } \times {5}^{ \frac{1}{3} } [/tex]

[tex] {5}^{ \frac{1}{2} + \frac{1}{3} } [/tex]

[tex] {5}^{ \frac{3}{6} + \frac{2}{6} } [/tex]

[tex] {5}^{ \frac{5}{6} } [/tex]

[tex] \sqrt[6]{ {5}^{5} } [/tex]

f(0) = 3 and f(1) = 15.

Answers

Answer:

Step-by-step explanat

Given=F(0) = 3 and f(1) = 15.

So f(X)=12x+3

When X=0, f(0)=12x0+3=3

When X=1, f(1) = 12x1+3= 15

So f(X)=12x+3 is the solution o

What is the Awnser to this?

Answers

The answer is 16 and 3

Evaluate 9/12 × 6/9 Give your answer in its simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

reduce 12 with 6 and 9 with 9 and your equation is now 1/2 x 1/1

you now multiply ur franction, which gives you   1/2

hope this helped :)

the height of an apple

Answers

Answer:

apples are usually roundish, 5–10 cm (2–4 inches) in diameter

Step-by-step explanation:

Dwarf apple trees grow about 10 feet tall, while semi-dwarf varieties can reach 15 feet. Meanwhile, standard-size apple trees often soar to heights above 20 feet and sometimes tower at 30 feet.

Apples are 5 - 10 cm in height.

What is height?

Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it

Given is an apple.

When harvested, apples are usually roundish, 5–10 cm (2–4 inches) in diameter.

Therefore, apples are 5 - 10 cm in height.

To solve more questions on distances, visit the link below -

brainly.com/question/30215119

#SPJ6

Dorian decided his favorite food is Sour Patch Kids,and that was going to eat them every day.He eats 20 Sour Patch Kids in half a day. What is the constant of proportionality?

Answers

Answer:

The constant of proportionality is 40 sour patch kids per day

Step-by-step explanation:

Here, we want to find the constant of proportionality

From the question, we are told that he eats 20 sour patch kids in half a day

what this mean is that he will eat 20 * 2 = 40 sour patch kids in a day

The constant of proportionality is thus 40 sour patch kids per day

PLEASE PLEASE PLEASE PLEASE HELPP!!what is The function f(x) = 4x – 8 reflected across the y-axis on a coordinate plane

Answers

The answer is:
(2,0) (0, -8)

For a new customer, a video store charges $10 for a rental card plus $2 per movie. Using the linear equation (y=mx+b) you wrote, find the cost for a new customer to rent 6 movies.

Answers

Given:

Charges for rental card = $10

Charges for movie = $2 per movie

To find:

The linear equation for given situation and find the cost to rent 6 movies.

Solution:

Let y be the total cost for x number of movies.

Cost of one movie = $2

Cost of x movies = $2x

Total cost = Charges for rental card + Charges for x movies

[tex]y=10+2x[/tex]

Put x=6 to find the cost of 6 movies.

[tex]y=10+2(6)[/tex]

[tex]y=10+12[/tex]

[tex]y=22[/tex]

Therefore, the total cost for a new customer to rent 6 movies is $22.

Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin

Answers

Answer:

30

Step-by-step explanation:

Work backwards:

6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30

Check your work:

2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys left

please help me this question​

Answers

I think it’s b. Don’t be mad if I get it wrong

Answer:

[tex]C) 1210m^2[/tex]

Step-by-step explanation:

Initial Length of the rope (r) = 12 m

Final length of the rope (R) = 23 m

[tex]Additional\ area\ acquired\ = Final Area- Initial Area\\=\pi R^2- \pi r^2\\=\pi (R^2-r^2)\\=\pi (23^2-12^2)\\=\pi (529-144)\\=\pi (385)\\=385\pi \\\\As\ \pi = \frac{22}{7} \\\\Hence,\\385\pi \\=385 * \frac{22}{7} \\=55*22\\=1210 m^2[/tex]

15 - 3k = 10(k-5)
Can someone please answer this

Answers

Answer:

k = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

15 - 3k = 10(k - 5)

Step 2: Solve for k

Distribute 10:                              15 - 3k = 10k - 50Add 3k to both sides:                15 = 13k - 50Add 50 to both sides:                65 = 13kDivide 13 on both sides:            5 = kRewrite:                                       k = 5

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k:                    15 - 3(5) = 10(5 - 5)Subtract:                              15 - 3(5) = 10(0)Multiply:                               15 - 15 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ k = 5 is a solution of the equation.

Answer:

k=5

Step-by-step explanation:

1. Apply distributive property: 15-3k=10k-50

2. Bring all variables to one side: 15-3k=10k-50

+3k +3k

15=13k-50

3. Isolate K by bring the term in it's way to the other side: 15=13k-50

+50. +50

65=13k

4. Isole your variable by divide by 13: 65=13k

65/13 13/13

5=k

Earth travels 30 kilometers each second as it revolves around the Sun. How many miles does Earth travel in 1 second? Round to the hundredths if necessary.

Answers

9514 1404 393

Answer:

  18.64 miles

Step-by-step explanation:

There are 1.609344 km per mile, so the distance traveled in 1 second is ...

  (30 km)(1 mi)/(1.609344 km) ≈ 18.64 mi

The Earth travels around the Sun at the rate of about 18.64 miles per second.

Answer:

18.64 if rounded

Step-by-step explanation:

First you need to know how many miles is 1 kilometer. That would be approximately 0.62137 miles. Multiply this by 3 and you would get 1.86411. Now multiply this by 10 to make it 30 kilometers worth of miles and not 3 kilometers. You would get 18.6411 which rounded to the hundredths place would be 18.64.

The ratio of boys to girls in Ms. Alper’s math classes is 5 ∶ 7. If there are 60 boys in all of her classes, how many girls are there ?

Plz help im so dumb ;-;

Answers

Answer:

I think it's 80 I'm sorry if I'm wrong

Answer:

the person above is incorrect I think it may or may not be 75

8 divided by 32.16?
I need help with this, please answer as fast as possible!!

Answers

The answer is 0.248756

9 A book publishing company selected 30 out of 50 books submitted for publishing.
What decimal is equivalent to the fraction of books selected for publishing?

Answers

Answer:

Step-by-step explanation:

30/50= 3/5= 0.6

Help pls! A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?


A. 10.3 square feet

B. 14 square feet

C. 122.5 square feet

Answers

It should be B I think

28 divided 3.5
help meh plz

Answers

Answer:

8

have a good day! :)

please help... please need help!!!

Answers

Answer:

2 gallons maybe?

Step-by-step explanation:

What are the coordinates of point S”?

Answers

Answer:A

Step-by-step explanation:

At an office supply store, 8 boxes of pens and 3 folders cost $6.50. At the same store, 8 boxes of pens and 1 folder cost $5.90. How much does one box of pens cost? How much does 1 folder cost? Please explain.

Answers

Answer:

$0.30

Step-by-step explanation:

the difference of the folders is 2.

The difference of money is $0.60

60/2 = 30

$0.30

Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10

Answers

Answer:

b is the answer of this puestion

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2013 the mean was 515 and the standard deviation was 116. Gina took the SAT in 1994 and scored 500 on the Math test. Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test. Who did better relative to their peers, and how can you tell? Group of answer choices Colleen—she scored 30 points higher than Gina. Gina—the standard deviation was bigger in 2013. Gina—her standardized score is higher than Colleen’s. Colleen—her standardized score is higher than Gina’s.

Answers

Answer:

Gina—her standardized score is higher than Colleen’s.

Step-by-step explanation:

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.

We solve this question using z score formula also know as standardized score formula which is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Gina

Gina took the SAT in 1994 and scored 500 on the Math test.

For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.

x = 500

μ = 470

σ = 110

Hence, the z score is given as:

z = 500 - 470/110

z = 0.27273

Gina's z or standardized score is 0.27273

For Colleen

Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test.

In 2013 the mean was 515 and the standard deviation was 116.

x = 530

μ = 515

σ = 116

Hence, the z score is given as:

z = 530 - 515/116

z = 0.12931

Colleen's z or standardized score is 0.12931

The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen’s.

Crew car wash is offering their unlimited “Works” package for 20% off the normal price of $720 per year . What is the annual cost of the unlimited works package with the discount?

Answers

Answer:

144

Step-by-step explanation:

It should be. I don't really know if there are answer choices or not.

Pleaser answer correctly !!!!!!!!!!!!!!!!!!! *use mathematical language* Will mark brainliest !!!!!!!!!!!!!!

Answers

###################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################pls give brainlist

Answer:

Vertical angles are always congruent, or of equal measure. ... Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°). Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. so therefore verticle angles DO NOT form a linear pair

Step-by-step explanation:

brainliest please ? :)

Write an equation in slope-intercept form that passes through the point (3,-5)
with a slope of 1.

Answers

Y = mx + b (slope form)
-5 = 1(3) + b
-5 = 3 + b
b = -8
final equation: y = x -8

2. In the linear equation y = -3x + 2, the value
(-3) represents which of the following?
a. the slope of the
line
b. the y-coordinate
of the y-intercept
c. the x-coordinate
of the y-intercept
d. the quadrant in
which the line lies

Answers

Answer:

C

Step-by-step explanation:

In the form y=mx+x, m is the x coordinate of the y intercept.

What is 1,035 divided by 38

Answers

Answer:

27.2368421053

Step-by-step explanation:

13-715x=130x
show work plzz

Answers

Answer:

Solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]13-715x=130x[/tex]

Combining like terms and solving

[tex]13-715x=130x\\Adding \ 715x \ on \ both \ sides:\\13-715x+715x=130x+715x\\13=845x\\Divide \ both \ sides \ by \ 845\\\frac{13}{845}=\frac{845x}{845}\\=>x= \frac{1}{65}[/tex]

So, solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]

Please quickly! Out of 5,500 people who attended the football game, fifty-six percent were rooting for the home team. How many people rooted for the home team?

Answers

3,080 people rooted for the hometeam.
Other Questions
Identify the independent variable (domain). 5x+2y= 150 10. Explain the difference between Biological & Cultural Carrying Capacity. if the slope is -3/5 and the y intercept is 1 what is the slope intercept form of the equation of each line given the slope and y intercept Review the model of a Cultural Tree by Aliza Maynard (page 3). As you take note of the surface, shallow, and deep cultural concepts, think of To Kill a Mockingbird Given: DFE is isosceles with base FE; FB EC. Prove: DFB DEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS. what is. m + 0.6 = 2.6 Dr. Mary Walker is the only female to receive the Congressional Medal of Honor.A. TrueOrB. False Is this right? I chose 15. Which composer was considered the master of polyphonic music?Select oneO a DufayO b. JosquinO c. ByrdO d. Gabrieli What does Roosevelt mean when he declares that Americans must see that each is given a square deal? What does he mean by square deal? What did President Roosevelt do to resist racism? A student finished 45 homework problems in class.If the ratio of problems she finished to problems she still had left was 9:4 how many homework problems did she have total match the function to the blood vessels the words are capillary arteryvein the definitions Carries blood back to the heart carries blood away from the heart connects arteries and veins PLEASE HELP!!! WILL CHOOSE BRAINLIEST!Describe and give an example of the 4 MAIN causes of world war one. Why did the United States favor the Allies over the central powers?What was the effect of unrestricted submarine warfare on the United States?What was the purpose of the Zimmerman note?Describe what World War One did to public views on Immigrants and civil liberties.How did the war open opportunities for African Americans and Women?What was wrong with the Allied plan for peace?What was the intent of the League of Nations? Why did the United States not join?What were the Palmer raids and why were they allowed to happen?What were the goals of the KKK during the post war era?What was the intent of immigration restrictions in the 1920s?What was the impact of the automobile?What was the purpose of prohibition, and why did prohibition fail?What was the conflict between fundamentalists and those who accepted evolution?How was the flapper different than most women?What changed affected families in the 1920s?How did schools change during the 1920s?Why did radio become so popular?Explain the emergence of the lost generation and how they represented the post war I disillusionment.How did the influx of African Americans change northern cities?What approach to race relations did Marcus Garvey promote, how did this contribute to African-American civil rights movements? In what ways did writers of the Harlem Renaissance celebrate a rebirth?Explain the Role of the ACLU as it relates to the general publics civil liberties. A share of common just paid a dividend of $1.00. If the expected long-run growth rate for this stock is 5.4%, and if investors' required rate of return is 13.9%, what is the stock price?a) $11.04b) $12.40c) $13.76d) $15.00e) $9.42 I really need help with this -1,000 -999 < > or = and why Qu significa los siguientes conceptos: disciplina TIMED TEST Read the letter from Mary S. Paul, a Lowell mills worker.21 Dec. 1845Dear FatherI received your letter on Thursday the 14th with much pleasure. I am well which one comfort is. My life and health are spared while others are cut off. Last Thursday one girl fell down and broke her neck, which caused instant death. She was going in or coming out of the mill and fell down it being very icy. Last Tuesday we were paid. In all I had six dollars and sixty cents paid $4.68 for board. With the rest I got me a pair of rubbers and a pair of 50.cts shoes. Perhaps you would like something about our regulations about going in and coming out of the mill. At half past six [the bell] rings for the girls to get up and at seven they are called to the mill. At half past 12 we have dinner are called back again at one and stay till half past seven. I get along very well with my work. I can doff as fast as any girl in our room. If any girl wants employment I advise them to come to Lowell.This from, Mary S. PaulWhy did factories want to employ women like Mary S. Paul?They were a source of cheap labor.They required little moral guidance.They were more skilled.They did not complain. :answer question number 2