A rappelling club charters a bus for a trip to the mountains for $540. To lower the bus fare per person, the club invites some hikers on the trip. After 7 hikers join the trip, the bus fare per person decreases by $7. How many members of the rappelling club are going on the trip?

Answers

Answer 1

Answer:

20 members of the rappelling club are going on the trip

Explanation:

Total cost of the trip is $540.

If only one person goes, the cost is $540.

We can make the total number of people going x since we are not given.

Therefore, each member would pay (540/x)

We can also rep 7 with non members since the number is given as 7

Total people going= Members + non members.

Therefore, the cost per person is now (540/x+7).

Problem.

540/x -540/x +7 = 7

Multiply each with lowest common denominator.

When you expand, you get

540(x+7) - x(540)/x(x+7) =7

Simplify multiplication.

540x+3780-540x=7(x^2+7x)

Combine like terms

540x-540x+3780=7x^2+49x

3780=7x^2+49x

7x^2+49x-3780= 0

When we divide through by 7, we have

x^2+7x-540

Factorize, we have

(x^2+27x)-(20x-540)=0

x(x+27)-20(x+27)=0

(x-20)(x+27)=0

x is therefore 20 or -27

Since we know -27 cannot be a reasonable answer hence must be excluded.

The exact number of the people going on the trip is 20.


Related Questions

In a preliminary meeting in July 2015, what new field of science was discussed to develop ways to limit the risks and encourage communities, industries, and governments to make progress with or without a treaty?

Answers

Answer:

Adaptation science

Explanation:

Adaptation science  was the new field of science that was discussed to develop ways to limit the risks and encourage communities, industries, and governments to make progress with or without a treaty.

Then the eleven disciples went to Galilee, to the mountain where Jesus had told them to go. When they saw him, they worshiped him; but some doubted. Then Jesus came to them and said, "All authority in heaven and on earth has been given to me. Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and teaching them to obey everything I have commanded you. And surely I am with you always, to the very end of the age." –Matthew 28:16–20 According to Christian scripture, what does Jesus command his disciples to do?

Answers

Answer:

to convert others to Christianity

Explanation:

Answer:

to convert others to Christianity

Explanation:t

According to Christian scripture, what does Jesus command his disciples to do?

What is your interpretation of the Fifteenth Amendment?

"The right of citizens of the United States to vote shall not be denied or abridged by the United States or by any state on account of race, color, or previous condition of servitude."

Answers

Answer:

all citizens may be able to vote regardless of colour or social status and the government does not have the authority to change this (shall not be denied or abridged by the United States), but this does not include women as they do not strictly mention gender. Previous condition of servitude likely refers to how slavery was abolished and that former slaves shall also have the voting right.

Explanation:

"The right of citizens of the United States to vote shall not be denied or abridged by the United States or by any state on account of race, color, or previous condition of servitude."

(shall not be denied or abridged by the United States

Explanation:

A mismatch between supply and demand when the price is low (creating more demand than supply) is called...
A. Surplus
B. Shortage

Answers

A.Surplus because Is the correct

Answer: Inventory

Explanation:

Why would people react to a program like the great society with fear?

Answers

Answer:

People would react with fear to a program like the Great Society because these programs might raise taxes.

Explanation:

The Great Society was a large-scale social policy reform program run by the federal government under President Lyndon B. Johnson, who served from 1963 to 1969. The program was proclaimed in early 1964, a few months after Johnson took over the presidency after the murder of his predecessor John F. Kennedy, and continued until the end of his term in the White House in January 1969. The main objectives of the reform program were to fight poverty, strengthen the rights of African Americans and other minorities, and to implement comprehensive reforms in the areas of education and health. Environmental and consumer protection and the expansion of the infrastructure were further considerations.

The truth is that all these programs implied a considerable increase in public spending, with huge budget items that would be destined to cover these social expenses. Therefore, a large part of American society (especially Republicans and conservatives in general) feared that these programs could significantly raise taxes. For this reason, many of the representatives of these groups opposed the implementation of the Great Society.

As a result of the terrorist attacks on September 11, 2001,
approximately 1,000 people died.
the al-Qaeda terrorist group formed.
the US declared a “war on terror.”
US allies declared a “war on terror.”

Answers

As a result of the terrorist attacks on September 11, 2001, the US declared a “war on terror.” Read more on the attack below.

What was the september 11th attack?

This was a terrorist attack on the United States soil by the members of the Al Qaeda terrorist organization.

The attack was targeted at Washington DC. It led to the death of a lot of persons. The George Bush adminsitration set upo the war on terror because of this attack.

Read more on terrorism here: https://brainly.com/question/14044861

As a result of the terrorist attacks on September 11, 2001, the US declared a "war on terror." The attacks were carried out by the al-Qaeda. The correct option is C.

What is Al-Qaeda?

Al-Qaeda is a global militant Islamist organization that was founded in 1988 by Osama bin Laden and other Islamic extremists. The organization's primary goal is to wage a global jihad, or holy war, against what it perceives as Western imperialism.

Al-Qaeda gained worldwide notoriety in the early 2000s after it carried out a series of high-profile terrorist attacks, including the September 11 attacks on the United States in 2001, which resulted in the deaths of nearly 3,000 people.

The US declared a “war on terror” as a result of the terrorist attacks on September 11, 2001. Thus, the ideal selection is option C.

Learn more about Al-Qaeda here:

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At the time of the Civil War, what did Florida have in common with the Maryland?

Group of answer choices

Both states were led by planters with an economic interest in slavery.

President Lincoln suspended habeas corpus in both states.

The majority of farmers in both states had secret sympathies to the Union.

The two states saw the bloodiest battles of the war.

Answers

Answer:

A) Both states were led by planters with an economic interest in slavery.

Answer:

the answer is A

Explanation:

Which of the following BEST describes the Bush Presidency

Answers

Answer:

It included a series of difficult challenges, including two major crises of historic proportions.

Explanation:

Got it right on edge.

Answer:

B

Explanation:

Got it right

During the Reconstruction, which group wanted to punish the Confederate states for seceding from the Union and wanted to make it difficult for the states re-enter the Union?
A.
Freedmen
B.
Radical Republicans
C.
Democrats
D.
Carpetbaggers

Answers

Answer:

B.Radical Republicans

Explanation:

Answer:

B radical Republicans

Explanation:

Which of the following actions demonstrates George Washington's attempts to strengthen the executive branch of government?
A.
Washington let state governments decide on many policies.
B.
Washington established a cabinet to help advise him.
C.
Washington pushed for the creation of a national bank.
D.
Washington often argued cases in front of federal courts.

Answers

Answer: B

Explanation: Washington established a cabinet to help advise him. "Washington also began the custom of consulting with his principal department heads as a group, which practice led eventually to the creation of the cabinet, an important feature of American government to this day."

Final answer:

George Washington strengthened the executive branch by establishing a cabinet to advise him, which contributed significantly to the development and power of the executive branch.

Explanation:

The action that best demonstrates George Washington's efforts to strengthen the executive branch of government is Option B: Washington established a cabinet to help advise him. This decision marked an important step in the development of the executive branch. The cabinet, as an advisory body to the President, would play an important role in executing and creating policy, thereby increasing the strength of the executive branch.

Option C, where Washington pushed for the creation of a national bank, also showed his vision for a strong central government, but this was geared towards strengthening the federal government as a whole, not necessarily the executive branch. Options A and D do not relate directly to the executive branch or its strengthening.

Learn more about George Washington and the Executive Branch here:

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How could Nixon and Dean obstruct justice through blackmail and bribery?

Answers

Answer:

court documts unsealed after nearly 45 years shown that a federal ground

Explanation:

The declaration of sentiments focused on the rights of women who were

Answers

Answer:

The Declaration of Sentiments which was also known as the Declaration of Rights and Sentiments focused specifically on the rights of women who were citizens and should have had equal rights. The answer is A. The convention discussing this right was held at Seneca Falls on 19-20th of July, 1848. 

Explanation:

5. How did the Aztecs prevent flooding in Tenochtitlan?

Answers

Answer:

They dug irrigation canals

Explanation:

Tenochtitlan was the capital city and center of the Aztec Empire. The city founded in 1325 and served as the center until it conquered by Spanish in 1520. The city was built on a swampy island in Lake Texcoco with pyramids, palaces, and storehouses. The Aztecs were able to settle there where the water served as a natural defense from enemies. The Aztecs build aqueducts, canals, and responsible for the development of a hydroponic form of irrigation. Hydrological had gates to control the flow of water from the lakes during the seasonal raining.  

Japan has become one of the world's most
nations since World War II.
agricultural
militaristic
Industrialized
socialistic

Answers

Japan has become Industrialized

Answer: ... agricultural...

Japan has become one of the world's most.....nations since World War II.

most likely

thanks icon and  brianlest if you can

Can somebody maybe write a paragraph comparing and contrasting the rise and fall of Germany and Japan during World War 2? That would be a big help, thank you!

Answers

Answer:

Explanation:

Well. I won't write a paragraph but I will tell you the facts and you can write it.

In world War 2, Japan's currency was banned in the U. S and their trading connection was cut form the U. S. and Japan got angry and attacked the pearl harbor and many Americans died. So, America also made a move and America placed about 120,000 Japanese Americans in camps and were removed from there homes. This was a HUGE fall for Japan!!!! A big rise was that Japan was given German Colonies because it was a island and they needed more land and when the Treaty of Versailles was passed, Japan got land from Germany because Germany lost. So this was a huge rise for Japan!!!!

Germany

Germany lost their land because they didn't win the war and according to the Treaty of Versailles, If Germany lost then they would have have to give up thir land and it limited Germany's military and they had to pay billions of dollars!!! (That land was given to Japan since all the counties agreed and helped Japan) this was a huge fall for Germany!!!

When Germany invaded Poland, it was a huge rise!!!

-I hope it helps you write the paragraph And it shouldn't be that hard because I gave you all the facts! Good luck.

British laws or actions that the American colonists thought were unfair

Answers

Answer:

Stamp act, tea tax, quartering, ect.

Explanation:

The king and Parlaiment believed they had the right tax the colonies.

which sentence uses the vocabulary word correctly? A.You can kindle a fire by dousing it with water. B.The teen pop star was infamous for wild parties and causing a big scene wherever she went. C.Couplets are composed of four-line rhyming stanzas. D.Latoya was told she earned 100 percent on her science test, and left the classroom feeling incredibly deceitful about her grade. Please help i will make brainlest

Answers

Answer:

C. Couplets are composed of four-line rhyming stanzas.

Explanation:

Answer:

I think the answer is A

Hope this helps :)

Sry if wrong


The end of the ___ Dynasty had a profound and long-lasting impact on the people living in the yellow are on this map.
A) Habsburgs
\ B) Hohenzollern‎
C) Romanovs
D) Tudors

Answers

Answer:

C

Explanation:

What were the outcomes of the Iran-Contra Affair? Check all that apply.

Answers

Answer:

A D E

Explanation:

sorry i took so long but i just took the assignment and i got it right.

Answer

A,D,E

Explanation

Tensions leading up to World War 1 can be traced to which of the following??

A. Japan began establishing an empire by attacking and conquering its neighbors

B. Great Britain refused to follow the postwar rules set up in the treaty of Versailles

C. The Soviet Union developed into a fascist dictatorship under Joseph Stalin

D. Germany slowly negotiated treaties giving it control of most French territory

(Will Mark Brainiest)

Answers

Germany negotiated treaties

Answer:

Japan began establishing an empire by attacking and conquering its neighbors

Explanation:

what three current European countries were once satellite states under soviet control

Answers

:Bulgaria, Czechoslovakia, and East Germany.

Deplomacy is a important way of protecting a nation. Which best describes deplomacy

Answers

Answer:

If the answer choices are

A) gathering the strongest weapons

B) building large groups of soldiers

C) keeping troops ready at all times

D) settling disagreements by talking

Correct option is -

D) setting disagreements by talking is the answer

Correct option is D setting disagreements my talking is the answer

why could the impeachment and resignation of Nixon be considered the end of the post war era in America.

Answers

Answer:

Nixon was abusing his power in office, making his reputation bad. Nixon resigned before he could be impeached.

Explanation:

Nixon was trying to cover up the Watergate incident. Nixon was trying to improve relationship with China, Chine and Russia were having issues between each other, with the U.S supporting China, the soviet union might back off.

Can you guys answer these 4 questions, thanks will give brainliest

Answers

Answer:

1) The Crusades were organized by western European Christians after centuries of Muslim wars of expansion. Their primary objectives were to stop the expansion of Muslim states, to reclaim for Christianity the Holy Land in the Middle East

2)In November 1095, at the Council of Clermont in southern France, the Pope called on Western Christians to take up arms to aid the Byzantines and recapture the Holy Land from Muslim control. This marked the beginning of the Crusades

3)After four Crusades, the Muslims won control of the Holy Lands. However, the crusades resulted in increased trade in Europe and the development of towns.

Explanation:

4) While the Crusades ultimately resulted in defeat for Europeans and a Muslim victory, many argue that they successfully extended the reach of Christianity and Western civilization. The Roman Catholic Church experienced an increase in wealth, and the power of the Pope was elevated after the Crusades ended

What is the name of the person who spoke out against the system of encomiendas?

Answers

Answer:

The correct answer to this question is ceamnocadosa.

What was the purpose of the NRA ?

Answers

Hey there! :)

The National Recovery Administration, also known as the NRA,  was established in 1933 by president Franklin D. Roosevelt.

The purpose of this administration was to remove competition by bringing together the government, industry, and labor together to create fair wages and set prices to create economic recovery.

Final answer:

The NRA was created to establish trade unions and codes for industries to regulate wages, prices, and production during the Great Depression.

Explanation:

The National Recovery Administration (NRA) was created as part of the National Industrial Recovery Act (NIRA) during the Great Depression. Its purpose was to create trade unions representing various industries that would establish codes regulating wages, prices, and production. The goal was to create a more organized economy, eliminate overproduction, and ensure fair wages and prices. However, the NRA was declared unconstitutional by the US Supreme Court in 1935 due to concerns of cartelization and violation of free-market principles.

Discuss the technology of the steamboat

Answers

Answer:

Explanation:

its in the attachment

why is the white house white

Answers

Answer:

Although I'm not sure of a set in stone answer, it's been rumored that during the rebuilding after the burning of Washington, white paint was applied to mask the burn damage it had suffered.

Answer:

Most of the presidents were white

Explanation:

A major result of the Emancipation Proclamation was that
it brought an end to the war.
it gave enslaved people their freedom.
it provided the Union with a larger army.
it brought border states into the fight.

Answers

Answer:

its c

Explanation:

Answer:

C. it provided the Union with a larger army.

Just took test.

What do you feel Jim Braddocks strengths are?

Answers

Answer:

Following his resignation, Jim had a hard time finding a job to support his family, which was difficult in those times of hardship and poverty. Courage, determination, inspiration, kindheartedness and caring are the five greatest qualities.

Explanation:

Final answer:

Jim Braddock's strengths include determination, adaptability, and a strong work ethic.

Explanation:

Jim Braddock was a skilled boxer who possessed several strengths that contributed to his success in the sport. One of his strengths was his determination and resilience. Despite facing numerous setbacks and obstacles in his career, Braddock never gave up and always found a way to bounce back.

Another strength of Braddock was his ability to adapt and learn from his mistakes. He recognized his weaknesses and constantly worked on improving them, which made him a formidable opponent in the boxing ring.

Lastly, Braddock had a strong work ethic. He trained diligently and pushed himself to the limit to achieve his goals. This dedication and discipline played a crucial role in his rise to become the heavyweight champion of the world.

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