Catarina and Tom want to buy a rug for a room that is 8 by 12. They want to leave an even strip of flooring uncovered around the edges of the room. How wide a stip will have if they buy a rug with an area of 32 square feet

Answers

Answer 1

Answer:

The length of the strip is 4ft

Explanation:

Given

Room dimension: 8 by 12

Rug Area: 32

Required

Determine the width of the strip

Since it is an even strip. Represent the width with w.

So, the rug area [tex](in\ terms\ of\ the\ room\ dimension)[/tex] is:

[tex]Area = (8 - w) * (12 - w)[/tex]

Substitute 32 for Area

[tex]32 = (8 - w) * (12 - w)[/tex]

Expand

[tex]32 = 8(12 - w) -w(12 - w)[/tex]

Open brackets

[tex]32 = 96 - 8w -12w + w^2[/tex]

Collect Like Terms

[tex]w^2 - 12w - 8w -32 + 96 = 0[/tex]

[tex]w^2 - 20w+64 = 0[/tex]

Expand

[tex]w^2 - 16w - 4w + 64 = 0[/tex]

Factorize

[tex]w(w - 16) - 4(w - 16) = 0[/tex]

[tex](w - 4)(w - 16) = 0[/tex]

[tex]w - 4 = 0\ \ or\ w-16=0[/tex]

[tex]w = 4\ \ or\ w=16[/tex]

But w can't be greater than the any of the dimension of the room (8 or 12).

So:

[tex]w = 4[/tex]

Hence, the length of the strip is 4ft


Related Questions

Love for children is a basic ideal in Chinese society.
A.
true
B.
false

Answers

Answer:

A. True

Explanation:

The Chinese culture, despite undergoing several changes, is still rooted in its traditional values. Family and home are still the two most important components of an individual's life.

In Chinese culture, the fundamental ideal is love for children. is a true assertion., option (A) is correct.

What is culture?

The term culture is defined the as all the ways of life including arts, beliefs, and institutions of a population that are passed down from generation to generation as we see there are different forms of culture that can be there in it and the people follow them also in it.

Even today, kids are still expected to respect authority figures and obey their parents. This is in line with filial piety, a Confucian principle that emphasizes the value of experience. For instance, the entire family is expected to consult family elders in the majority of regions of China when making important decisions.

Therefore, option (B) is correct.

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The World Court was created to resolve international disputes.
(True or false)

Answers

Answer:

True

Explanation:

What size family did David Ricardo recommend people have?

Answers

Answer:   English economist who gave systematized, classical form to the rising science of economics in the 19th century. His laissez-faire doctrines were typified in his Iron Law of Wages, which stated that all attempts to improve the real income of workers were futile and that wages perforce would remain near the subsistence level. The size of family was five to ten people

it is a moderately a slow tempo​

Answers

Answer: Lento – slowly (40–45 BPM) ... Adagietto – rather slow (65–69 BPM) Andante – at a walking pace (73–77 BPM) Moderato – moderately (86–97 BPM) Allegretto – moderately fast (98–109 BPM)

Explanation: my googl e  c assroom code oj6genk

I will give brainiest to whoever answers correctly !!

Answers

Try June 20th or 19th... i think it's one of those

in what year did we take a little trip along with colonel jackson down the mighty Mississippi? we took a little _____ and we took a little ____ and we caught the bloody British in in town of _______ ??
i can get bonus points if i tell them the song i dont think its a song but if im wrong please state the song too,

SOMEONE HELP ME WITH MY HISTORY HOMEWORK

Answers

Answer:In 1814 we took a little trip

Along with Colonel Jackson down the mighty Mississippi

We took a little bacon and we took a little beans

And we caught the bloody British in the town of New Orleans

Explanation: Have a Happy Thursday !!

Answer:

In 1814 we took a little trip

Along with Colonel Jackson down the mighty Mississip'

We took a little bacon and we took a little beans

And we caught the bloody British in the town of New Orleans

We fired our guns and the British kept a-comin'

There wasn't as many as there was a while ago

We fired once more and they began to runnin'

On down the Mississippi to the Gulf of Mexico

We looked down a river and we see'd the British come

And there must have been a hundred of 'em beatin' on the drum

They stepped so high and they made their bugles ring

We stood behind our cotton bales and didn't say a thing

We fired our guns and the British kept a-comin'

There wasn't as many as there was a while ago

We fired once more and they began to runnin'

On down the Mississippi

Explanation:

Which of the following a push factors that led to immigrants leaving their home country

New jobs

Religious freedom

They had family already living in the United States

Their land was taken by their government

Answers

Answer:

Their land was taken by their government

Explanation:

a push factor is the cause of people to leave their home country. New jobs, religious freedom, and them having family already living in the United States are all the pull factors.


What was one result of the Gupta Empire's interactions with markets in China and Rome?

Answers

Answer:

Rome

Thailand

Western Asia

Explanation:

Explain in your own words what Feudalism is and how it works

Answers

Answer:

Feudalism is the system of the duties and the land ownership. With feudalism all the land in the kingdom was the kings but, the king would give some of the land to the lords or nobles who fought for him.

hope this was helpful! c:

Answer:

Federalism is a kind of government where the force is split between the public government and other administrative units. It stands out from a unitary government, where a focal position holds the force, and a confederation, wherein states, for instance, are unmistakably prevailing.

Explanation:

What did Shays' Rebellion reveal about the federal government?​

Answers

Answer:

Shays's Rebellion revealed the lack of security and strength in the national government. Federalism The plan for confederation that was ratified in 1781 called for a “league of friendship” among 13 independent states.

Claudette was inspired by Harriet Tubman. Explain how both Claudette and Harriet Tubman placed themselves in danger for the sake of freedom.

Answers

Answer: Whenever Tubman led a group of slaves to freedom, she placed herself in great danger.

Tubman: Conductor of the Underground Railroad

After Harriet Tubman escaped from slavery, she returned to slave-holding states many times to help other slaves escape. She led them safely to the northern free states and to Canada. It was very dangerous to be a runaway slave.

What was the Stamp Act?

a tax the British imposed on the colonies to help pay off their debt

a British restriction on colonists moving west

a means of making colonial post offices profitable

a British law against charging colonists for postal service

Answers

Awnser is d if pretty sure

Do you know this question

Answers

Answer:

neither

Explanation:

thats the answer :)

The Tainos and Caribs were dominant in the Caribbean before Christopher Columbus' voyages. Who were these two groups of people? How did they live? What was the result of the Encounter of Columbus and the Indigenous People?

How did these Indigenous People fare in the first Centennial of European imperialism and colonialism in the Greater Virgin Islands? By 1593, were there a new society in the area?

What is the encomienda system and was it used in Puerto Rico?

Who were the "conquistadores" and what was "la conquista" in the Caribbean context? Did it impact the Greater Virgin Islands?

Did other non Hispanic Europeans enter the Caribbean basin in the first Centennial of European imperialism and colonialism? If yes, who were they and what roles did they play?

Answers

Answer:

The what

Explanation:

Huh

Which maya agriculture technique required step to be cut into the hillside to expand farmable land?

Terrace farming
Crop rotation
Slash and burn
Multiple harvest

Answers

Answer:

Terrace farming

Explanation:

Terrace farming is when you cut into a hill so that there are "steps" or flat levels of ground that let you grow food.

The agriculture technique required a step to be cut into the hillside to expand farmable land to terrace farming. Thus, option (a) is correct.

What is agriculture?

The term agriculture refers to the art and science of the cultivation of the crops. For the provided the food supply. It boosts the community's economic growth. Agriculture provides most of the world's food and fabrics. Agriculture is the improves the poverty.

According to the agricultural approach, a step had to be cut into the slope to enlarge farmable ground for terrace farming. Terrace farming is the method of growing food on the sides of mountains or mountains by planting on graduating terraces dug into the slope, or in other words, the process of constructing flat regions out of steep or mountainous terrain to produce crops.

As a result, the agriculture technique required a step to be cut into the hillside to expand farmable land to terrace farming. Therefore, option (a) is correct.

Learn more about on agriculture, here:

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Please helppp meee ! ASAP !!! Please!!

Answers

Answer:

can you take a picture of the question and the choice,please?

BRO OK DOWNLOAD THE APP SOCRATIC ITS FOR HISTORY ANSWERS ALL YOU HAVE TO DO IS TAKE A PICTURE OF THE QUESTION ITS SO HELPFUL

The von Thünen model would work BEST in an area that is

A. a mountainous state
B. an isolated state
C. a state with many waterways
D. a densely populated state
E. a state with devolved power

Answers

Answer: An isolated state

Explanation: The Von Thünen Model is built upon three things:

1. Isolation (This is the important one for this question)

2. Homogenous Land Characteristics

3. Limited Methods of Transporting Goods

Answer:

B. An Isolated State

Explanation:

I took the test :)

Many factors tend to influence party choice. Name four.

Answers

Answer:

1. Major events like war

2. Economic status

3. Family

4. Level of Education

HELP!! 40 POINTS!!
1. How did the conflict in Israel and Palestine emerge from competing national movements?
2. Who were some of the nationalist leaders in the post-war era, and how did they impact their societies?

Answers

1.From late 1940s to nowadays Israel is supported by USA and western states. Arabs were supported by Soviet Union and the eastern block to the 1980s.

Answer:

2. Nazis' wanted too "purify" the German (Aryan) race by annihilating "inferior" races.

Explanation:

Russia was separated from Western Europe due to?

Answers

Please Ignore my comment it for points to ask questions.

The pope crowned Charlemagne the emperor of the Holy Roman Empire
Charlemagne helped Christianity spread by having many
built.
Charlemagne helped y expand throughout the empire.

Answers

Answer:The pope crowned Charlemagne the emperor of

✔ the Holy Roman Empire

.

Charlemagne helped Christianity spread by having many

✔ monasteries built.

Charlemagne helped

✔ education expand throughout the empire.

Explanation:

What was the most likely reason that Julius Robert Oppenheimer opposed the use of the atomic bomb even
though he had led the Manhattan Project?
He had incomplete knowledge of the strategy of the Pacific War.
O He had firsthand knowledge of the destructiveness of the bomb.
He had argued against developing the bomb without telling the American people.
O He thought that atomic power should be used for research, rather than destruction.

Answers

The correct answer is B. He had firsthand knowledge of the destructiveness of the bomb.

Explanation

Julius Robert Oppenheimer (1904-1967) was an American physicist who was highlighted for his contribution to the construction of the Atomic Bomb through his participation in the Manhattan Project. This plan was carried out by the United States during World War II to develop the first nuclear weapons in history. However, sometime later when the atomic bombs were dropped on the Japanese cities of Nagasaki and Hiroshima Oppenheimer openly expressed his opposition to this decision because as a collaborator in the manufacturing process of those bombs, he knew how destructive they were, and the harm to innocent people that they would cause. Therefore, the correct answer is B. He had firsthand knowledge of the destructiveness of the bomb.

Answer:

B

Explanation:

Which Key American idea was developed by Bostonian James
Otis and coined by Samuel Adams?

Answers

Answer:

"No taxation without representation"

Explanation:

I don’t think you can have a lot

Which was a major victory for Britain?

A) The Battle of Tippecanoe.

B)The Surrender of Detroit.


C) The Battle of the Thames.

Answers

B) The surrender of Detroit

Answer:

The Answer is B i just did it

Explanation:

What region of INDIA did he unite?

Answers

Answer:

Chandragupta or Chanda Gupta unified India a long time ago....

All of it?

Explanation:

if this helps brainliest

Which of the following best defines the underlined word in the following sentence:
"One way an active citizen can help is to support, visit, or thank local veterans."
A. an expert
B. a local firefighter
C. a former member of the United States Military
D. a retired teacher or college professor
Please select the best answer from the choices provided
ΟΑ
B
OD

Answers

Answer:

C

Explanation:

Answer:C.

a former member of the United States Military

Explanation:

Explain how celebrating the life in the dream of Martin Luther King Jr. reforms American ideals

Answers

Answer:

Celebrate diversity. Martin Luther King Jr. had a dream that we would one day be a color blind society and that rational inequality would come to an end. Have a birthday dinner for Martin Luther King Jr. ... Local churches and community centers in various areas hold services and events to honor Martin Luther King Jr.

Explanation:

hop it helps xx.

Why were many adult immigrants not acculturated?

Answers

Answer:

Why were many adult immigrants not acculturated? They had already been born and adapted to other norms 17- Define assimilated. To change and adapt to fit in 18- How were many immigrant children assimilated? largely through schools, they were made similar to other Americans

I hope this helped, have a good day!

Is this statement true or false?

Theodore Roosevelt was denied the presidential nomination of the Republican Party. As a result, he organized a third party called the "Big Stick" Party.


true
OR
false

Answers

true true true true true true true true

Need help on this please

Answers

your answer would be the socratic method!

Answer:

The Socratic Method

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