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

What is a feature of Zoroastrianism?
Followers believe in worshipping multiple gods.
Followers believe that people should be required to give tributes.
Followers believe in making animal sacrifices as part of their worship.
Followers believe that people are free to make their own choices.

Answers

Answer:

D. Followers believe that people are free to make their own choices.

Explanation:

Zoroastrianism is considered to be one of the oldest religions practiced in the world and it is typically based on the believe in one god, who is referred to as Ahuda Mazda. Zoroastrianism as a religion was spread across the Persian empire by a Persian prophet called Zoroaster.

The two (2) symbols of this ancient Persian region are fire and Faravahar.

A feature of Zoroastrianism is that followers believe that people are free to make their own choices. They believe that there is hell, heaven, a day of judgment and one god.

Answer:

D

Explanation:

By calling people "aliens", how does this allow the government to ignore these people's inalienable rights?

Answers

FLOOD OF ILLEGAL IMMIGRATION: Our porous border and weak laws allow for illegal immigration to go unchecked.

- Newly released data shows that December was a record-breaking month for family unit aliens apprehended at the border.

- 27,518 family unit aliens were apprehended illegally crossing the border last month.

- So far in fiscal year (FY) 2019, there have been more family unit apprehensions through December—75,794—than the FY totals in 5 of the last 7 years.

- For the last three months, an average of 2,000 inadmissible migrants have arrived at our border every day.

- A monthly average of more than 31,000 family units and unaccompanied minors are being apprehended at the border or deemed inadmissible at ports of entry in FY 2019.

- This marks a 136 percent increase from FY 2017.

- There has been a sharp increase in the number of aliens claiming a fear of return at the southern border over the past several years.

- This allows illegal aliens to remain in the United States while their claims are processed.

- These instances have spiked by over 1,700 percent since 2010.

- This flood of migrants to our border has overwhelmed our immigration system.

- There are currently not enough resources to hold those apprehended for the duration of their immigration proceedings.

- Loopholes in our immigration laws hamper authorities from promptly sending family units and unaccompanied minors back to their home countries.

- Immigration courts are severely backlogged—with over 800,000 cases pending.]

hope this helps!

Who was the first female ruler of Egypt?

Answers

Answer:

Hatshepsut is the answer

I think

Hatshepsut
I hope this help you

5. A
Is a toll road built for easy travel and for
shipment of goods

Answers

Answer: No, Toll Roads are typically implemented to help recoup the costs of road construction and maintenance.

In forming their new Articles of Confederation, how did the former colonies make certain that their
new government would be nothing like their former monarchy Give two examples

Answers

The Articles of Confederation was the first constitution for the United States, it was known for being very weak and giving little power to the national government. Most of the power was in the hands of the states and the people.

The government could not tax the states. Under the Articles of Confederation,   the national government did not have the power to tax. In order to raise money, they had to outright as the states for money. This made it so they did not have enough money to create post offices, create a military, or pay off war debts, making the country weaker as a whole.

The government could not properly create or enforce laws. Because there was only one weak branch of government, they could not create laws properly. In order to pass a new law, 9 out of 13 of the states had to agree to it. This made it very hard to pass anything, along with the fact all of the states had to agree in order to amend the Articles of Confederation.

The supreme court striking down a law as unconstitutional is an example of


Checks and balances


popular sovereignty

limited government


federalism

Answers

Answer:

Checks and balances

True of False. If the statement is false PLEASE MAKE IT TRUE. Federalism
is the system when the states have more power?



(pls answer!)

Answers

Answer:

Federalism is the system when the federal government has the least power.

Explanation:

The exclusive powers of the federal government help the nation operate as a unified whole. The states retain a lot of power, however. States conduct all elections, even presidential elections, and must ratify constitutional amendments.

So the correct statement would be: Federalism is the system when the federal government has the least power.

I think.

2. What is the source of authority in a monarchy?
in a democratic republic? in a dictatorship?

Answers

Answer:

A monarchy is ruled by a single person, and the position is passed down from the same family, the crown or leadership is passed down through family members. When the monarch dies or abdicates the throne, it is usually passed down to their oldest child. A monarchy is obtained through passing of the crown, whereas a dictatorship is taken through force.

EASY SIMPLE POINTS TO GE!!!
Just answer this questions and you’ll get the points! Super easy :)

Answers

Answer:

hi lol

Explanation:

Answer:

uwu

Explanation:

What caused the Boxer Rebellion? Select three options.

economic hardship
strong government
anti-foreign feelings
Western interference
pro-imperialist feelings

Answers

Answer:

Western interference, anti-foreign feelings, economid hardship

Explanation:

Economic hardship, anti-foreign feelings, and Western interference caused the Boxer Rebellion. The correct options are A, C, and D.

What influenced the Boxer Rebellion?

The Sino-Japanese War, which saw Japan defeat China, led to an EU-centric settlement, which is where the Boxer Rebellion's origins can be traced. With the help of this agreement, Austria, France, Germany, the United Kingdom, Italy, Japan, and Russia could all assert exclusive trading privileges with certain regions of China.

Western religions, primarily Christianity, were present in China at the time of the Boxer Rebellion, which was primarily sparked by this fact. Only native Chinese and Asian religions, according to Boxers, should be permitted to exist in China. the economic ties between China and other countries, particularly Western countries.

Thus, the ideal selection is options A, C, and D.

Learn more about the Boxer Rebellion here:

https://brainly.com/question/2378223

#SPJ2

Why is the Classical Era considered
significant to World History?

Answers

Answer:

Planted the seed for modern Democracy

Explanation:

Ancient Greek civilization emerged during the Classical Era.

At that time, the vast majority of societies were run on a monarchy system. This system gave all the power within the empire to the hand of a single king. The common people have little to no influence in politics.

Ancient Greece was different. They let the people to be involved in the creation of legislations by letting them vote on the type of laws that should be passed within society. This concept which give a lot of the power to the people in politic became the seed that led to the creation of our current modern day democracy.

3. What was the legal and administration system of the early Chinese dynasties like the Shang and
(7 Point)
O Legalism
O Democracy
O Feudalism
O Oligarchy

Answers

Legalism because this was the rise of the Chinese dynasties during the Warring States Period and the three philosophies came to the prominence known as: Confucianism, Legalism, and Daoism.

Help me with this I give you 15 points

Answers

It’s is c because it’s is c so yeah have a nice day

Did the pax roman actually die off

Answers

what did he die off ?????????

Answer:

Explanation:

After the death of Marcus Aurelius in 180 CE and the appearance of his heir Emperor Commodus, the concept of Pax Romana, after almost two hundred years, became an afterthought. With the demise of the Republic, the government was in ruin. Emperor Augustus had gained political and military control and built an empire

SUPER FUN EASY POINTS TO GET!!!
Just answer a simple easy question below it and you’ll for sure get the points!! WORTH OF 15 POINTS

Answers

Answer:

Monroe Doctrine

Explanation:

Hope this helps! :)

Plz Mark Brainly ;)

Answer:

C.)

Explanation:

what year did the napoleon die?

Answers

Answer: May 5, 1821

Explanation:

Which technological development had a greater impact on the Chinese empire- printing and gunpowder? explain why –

Answers

Answer:

paper.

Explanation:

paper helped people write letters, and much more. could i get brainliest please?

In August of 1945, the American dropped atomic bombs on which of the following Japanese cities? Hiroshima and Beijing, Beijing and Tokyo, Hiroshima and Nagasaki

Answers

Answer:

Hiroshima and Nagasaki

Hiroshima and Nagasaki

23. Homer's Odyssey is the story of:
a. Odysseus in the Trojan War
b. Odysseus' return to Ithaca
C. Achilles' return to Troy
d. Achilles fighting in the Trojan War

Answers

Answer:

b. Odysseus' return to Ithaca

Explanation:

just got done reading it in english.

What is water provided for?

Answers

Answer:

to drink to bath to make food

Answer:

to drink to bathe for health for ramen

Explanation:

what was the level of US involvement in World War I?
The US only became involved near the end of the war.
The US was involved from the very beginning.
The US never became involved because of political isolationist.

Answers

Answer: The US was involved from the very beginning.

Explanation:

I Hope I got this right If I didn't I tried!...

What was the main cause that triggered U.S. involvement in WWI?​

Answers

Answer:

The real causes of World War I included politics, secret alliances, imperialism, and nationalistic pride. However, there was one single event, the assassination of Archduke Ferdinand of Austria, which started a chain of events leading to war.

Explanation:

The US got involved in WW1 because Germany sank and damaged many U.S ships traveling to Britain.

2. What was the name of the written language of the Ancient Indian civilization?
(1 Point)
What was it

Answers

Answer: Indus Script

Explanation:

You are most probably referring to the Ancient Indian civilization of the Indus Valley which existed from around 3000 BC to 1300 BC. The Indus Valley Civilization was quite advanced for its time as it had urban planning and drainage systems as well as water supply amongst others.

They had a written language called the Indus Script which sadly has proven difficult to translate due to the lack of a translation medium like the Rosetta stone for ancient Egyptian hieroglyphs.

Do you know this question

Answers

the answer is Herself

"Explain how freedoms for African Americans were socially, politically, and
economically limited from 1865 to 1900?"

Answers

Answer:

Economically

Since there was no more slavery, farming in the south decreased. The south economy fell and many went into debt. The cotton industry started get exported to other countries.

Politically

Socially

Back in 1862-1990 it was difficult socially for African Americans. And having the Black Code and the Jim Crow Laws didn't make it easier. African Americans couldn't carry a weapon or be a part of the court system. The Start of Segregation.

African Americans weren't aloud to be apart of the political system. They couldn't vote or have power. To make sure that the African Americans got the message the Ku Klux Klan was formed. They destroyed Black Churches, Schools, Building and the killed.

Explanation:

Explanation:

"The period after the Civil War seemed full of promise for African Americans. New constitutional amendments seemed to open up the doors of opportunity for formerly enslaved people. The Thirteenth Amendment ended slavery, while the Fourteenth and Fifteenth Amendments guaranteed equal treatment and voting rights to African Americans. But, within a few years, African Americans found that their new rights came with some limitations. State laws were passed that weakened these constitutional amendments. Few liberated African Americans could escape the violence, poverty, and discrimination – All supported by the government. This caused the freedoms of African Americans to be limited socially, politically, and economically from 1865 to 1900.

Generally, the freedoms of African Americans were limited socially from 1865 to 1900. Southern states passed laws that increased racial discrimination. In Plessy v. Ferguson, the court upheld segregation as being lawful. As long as the services provided to white and black citizens were of equal quality, it was legal for the races to be separated. However, the services provided to blacks were not of the same quality of the services provided to whites. Segregated Southern schools educated white students and African American students, but the white students had new textbooks and clean, well-lighted facilities. African Americans had no choice to make use out of torn books that were outdated. Also, in black schools, hundreds of backs were stuffed into a single room. Leaving the South seemed to be the only option for many blacks that were fed up.

In addition, the freedoms of African Americans were limited politically from 1865 to 1900. Literacy tests and poll taxes were used to keep black voters away from ballot boxes. Some states limited the right to vote to those who could pass a literacy test. Often, white voters were given easier passages than African Americans. White election officials had the final say on whether a potential voter passed the test, and the system was blatantly biased. The government also kept African Americans from voting through poll taxes. This annual tax was required to be paid before a vote could be cast and, sharecroppers (blacks) often did not have enough money to pay the tax. To allow only white citizens to cast ballots, many Southern states created a grandfather clause which stated that anyone whose father or grandfather had been eligible to vote before January 1, 1867 was guaranteed the right to vote. That date was important because before that time, freed slaves did not have the right to vote. Poll taxes, literacy test, and the grandfather excluded many African Americans from participating politically.

Finally, the freedoms of African Americans were limited economically from 1865 to 1900. Soon after Reconstruction ended, more than 50,000 African Americans moved west toward Kansas and the Oklahoma territory. African Americans faced segregation and discrimination in many northern cities as well. Labor union leaders who did not want them as members discriminated against African Americans because they feared blacks would take their jobs. Real estate agents kept blacks from buying homes in certain neighborhoods and, business owners hired African Americans only if no other labor source was available. So, hiring blacks was always the last option. African American workers were often the first ones fired when business slowed. These were just a few of many challenges that African Americans had to face. The freedoms of African Americans were limited from 1865 to 1900 and, the struggles of African Americans continued into the 20th century."

AP GOVERNMENT SHORT WRITING

Identify and discuss elements of the American view of the political system.

Answers

Answer:

America has the political structure of a federal republic, with a federal government that is in charge of the administration of the nation, and state governments that exercise sovereignty over their respective territories in conjunction with the federal government.

In turn, its government is divided into three branches: the executive branch, in charge of the President, who is in charge of managing the nation's resources and enforcing its laws; the legislative power, in charge of Congress, that sanctions the laws of the nation; and the judiciary, in charge of the Supreme Court, whose function is to sanction those who violate the rules. Furthermore, all these powers of the government control each other through the checks and balances system.

Answer:

There are 5 important elements of the American view of the political system, liberty, equality, democracy, civic duty, individual responsibility. Liberty is that Americans have there right and should be free as they please except this freedoms can be taken when you can harm someone else. Equality is everyone should have an equal vote and a equal chance to participate and succeed. Democracy is the government should be accountable to by people. Civic duty is Americans feel people must take community affairs seriously and help when they can. Finally, Individual responsibility is the American view that barring some disability they are responsible for their own actions and well-being.

Explanation:

Taken directly from the book.

Which religion believes karma affects their
status in the caste system?

Answers

Answer: I think Hinduism believes that karma affects your next life and the caste you are in, while Buddhism doesn't believe in the caste system. They both believe in a perfect state of understanding, for Buddhism nirvana and Hinduism moksha.

Explanation:

hope this helps have a nice day ❤️❤️❤️

listen to xxxtentacion song dont cry best rapper in the world rip :(

Answers

he is the goat ........

Answer:

God bless his soul

Explanation:

Which nation did NOT have totalitarianism in the world war 2 era:
A. Germany
B. Italy
C. Soviet Union
D. United Kingdom
E. Japan

Answers

It’s E hope whoever see this have a good day

how did Romans treat the Christians?

Answers


They were very mean to them
Other Questions
13q-30q = Please show work *6. Determine the Rate of Change in the graph below. 2+2 Help please i really need it 3. Which stage of human development might be MOST concerned with cognitive function?middle adulthoodadolescenceearly adulthoodadvanced adulthood From what empire did we get the idea of Direct Democracy? Write the exponent for the expression.2.78The exponent for the expression is ___ Hippocrates improved the practice of medicine by:A.Encouraging collaboration of ideas between doctors.B.Advocating a sound diet and good hygiene.C.All of the Above Cooking techniques that use fat as an ingredient or way to transfer heat create an appealing _________________________. For culinary arts You may have seen the word erode being used in science meaning to physically wear away or deteriorate over time. How is morrison using a slightly different connotation of the word erode when she refers to her freedom and standing as slowly being eroded? Question 9 of 10If a new source of lumber is found, what is likely to happen to the price oflumber, and why?A. The price is likely to increase because demand will increase.B. The price is likely to increase because costs of production willincreaseC. The price is likely to decrease because demand will decrease.O D. The price is likely to decrease because supply has increased.SUBMIT 52 5 + (42 2) 36 9 Help with this plz! :> Write a letter to the Principal of your school stating what you want her to do to improve the school. PROJECT: EARLY CHRISTIAN ART Write a short essay (around 250 words) about what these symbols mean today and where you might see them. What is the role that symbols play in our lives today? Give some examples of modern day symbols. WILL GIVE BRAINLY Which was a very early agricultural tool?hand-held sickle made of stonegas-powered combine harvesterox-drawn plowhorse-drawn reaper pls answer asap pls pls HELP!!!!!ASAP!!!!!!!!!!!PLEASE!!!!!!!!!!NOW!!!!! The effective operation of a firm and its supply chain is more important than the design and implementation of its processes. True False use one or more exponents to write the expression 9 x 9 x 9 x 9 x 7 x 7 I need help I'm in 6th grade I use to have all f but I changed it into a,b,c can someone plss help so I don't fail