The sum of two numbers is 62. The larger number is 10 more than the smaller number. What are the numbers?

Answers

Answer 1

x =  first number, y = second number

sum is 62, means               x+y=62

difference is 10, means       y-x = 10

You can solve a system of equations by Substitution, Elimination, Graphing, or Matrices.

Graphing is probably not the best for this one, but it is possible by putting both equations in y=mx+b form and putting into a graphing calculator.

y=-x+62

y=x+10

Substitution:

x+y=62

x+y-y = 62-y

x=62-y

Now substitute for x in the second equation

y-x=10

y-(62-y) = 10

distribute the negative

y-62+y=10

combine like terms

2y-62=10

2y-62+62 = 10+62

2y = 10+62

2y = 72

(2y)/2 = 72/2

y=36

Now substitute y into original equation (either will work)

y-x=10

36-x=10

-x=10-36

-x=-26

x=26

Elimination:

x+y=62

y-x=10

x +y = 62

-x +y = 10       Now add the two equations together

0   2y = 72

2y/2 = 72/2

y=36

substitute y into either equation as in substitution (either works)

x+y=62

x+36=62

x=62-36

x=26

Matrices:

Put the Coefficients and constants into a matrix as follows:

x +y = 62

-x +y = 10

[ 1 1 | 62 ]

[-1 1 | 10]

either multiply a row by a number or add a row by the other row multiplied by a number.

Get the matrix in the form

[1 0 | x]

[0 1 | y]

Easier to start with the a 0, so get the -1 in the second row to 0

[    1              1       |       62       ]

[-1+(1*1)  1+(1*1) | 10+(1*62) ]

[ 1  1 | 62 ]

[ 0  2 | 72 ]

[      1         1             62    ]

[ 0*(1/2) 2*1/2) | 72*(1/2)]

[ 1 1 | 62 ]

[ 0 1 | 36 ]  <-- we now have the y value

[ 1+(-1*0) 1+(-1*1) | 62+(-1*36) ]

[      0             1       |        36        ]

[ 1 0 | 26 ]  <-- we now have x value

[ 0 1 | 36 ]  <-- and we have y value

x=26, y=36


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Explanation:

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Answer:

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A standard presidential term in the Executive Office of the United States is 4 years, though it may be cut short due to internal or external affairs (such as passing away, being assassinated, or being impeached. A typical president can serve at most 2 terms, a tradition that was set by our first president George Washington, and became law in 1951 with the 22nd Amendment. The only president to break the tradition was Democrat leader Franklin D. Roosevelt, who served 4 terms from 1933 until his death in 1945.

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One presidential term is 4 years. A president can only serve up to 8 years in total, meaning that a president can serve up to two terms

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The case about a freeman was a decision made by U.S. Supreme Court that ruled that having lived in a free state and territory, did not entitle an enslaved person, Dred Scott, to his freedom.

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Places were major mines existed included California, Nevada, Montana and the black hills of Dakota.

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How Did Imperialism Affect the Society of Kenya?

Colonialism in Kenya had a profound and lasting impact on the society as its reshaped its political, economic and social structures. Under British rule, which lasted from the late 19th century until Kenya gained independence in 1963, the society underwent significant changes.

Kenya's colonization brought about political transformations that led to the establishment of a centralized colonial administration. The British implemented a policy of indirect rule, relying on local African chiefs as intermediaries between the colonial government and the people. This system allowed the British to maintain control while also preserving elements of the existing social hierarchy.

Sources:

Branch, Daniel. "Defeating Mau Mau, Creating Kenya: Counterinsurgency, Civil War, and Decolonization." Cambridge University Press, 2009. [Link: https://www.cambridge.org/9780521897173].

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Answer: C

Explanation:

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a hereditary ruling class

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Answers

Answer:

a group of officials who help run a government or other organization

Explanation:

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The correct answer is A. led by Mehmet II, captured the city of Constantinople and renamed it Istanbul in 1453.

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Navassa Island is a U.S. territory. It is southeast of Florida and west of Puerto Rico. Which letter on the map represents the location of Navassa Island?

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Answer:

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according to kant; how is knowledge acquired

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Answer:

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The situation of bright lights syndrome occurred when the migrant workers and families were drawn to urban areas where they believed they would find more opportunities.

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This syndrome occurs when migrants are given a false impression that another city is better and they believe that they will have a better live over there.

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1. Which type of change—political, social, or economic—had the most impact on African Americans? Explain. 2. For the first hundred years of the United States, only white males were able to vote. Since then, amendments to the Constitution have made it so that any citizen aged 18 or older can vote. Which amendments granted different groups the right to vote? Why were amendments needed to expand voting rights?

Answers

The early restrictions on voting were rooted in discriminatory practices and societal norms prevalent during the formation of the United States. Amendments were necessary to rectify these injustices and ensure that voting rights were protected and extended to marginalized groups who had historically been excluded from the democratic process.

Among political, social, and economic changes, it is difficult to pinpoint one single type of change that had the most impact on African Americans, as these changes are interconnected and have influenced each other over time.

However, the social change, particularly the civil rights movement, played a significant role in shaping the experiences and opportunities for African Americans.

The civil rights movement, which gained momentum in the mid-20th century, aimed to challenge and dismantle racial segregation and discrimination in the United States.

Through nonviolent protests, legal challenges, and grassroots activism, African Americans fought for their rights and equality under the law.

The movement led to landmark legislation such as the Civil Rights Act of 1964 and the Voting Rights Act of 1965, which outlawed racial discrimination in various aspects of public life and protected the voting rights of African Americans.

These social changes had a profound impact on African Americans by challenging and dismantling systemic racism, opening up opportunities for political representation, educational and employment opportunities, and fostering a broader sense of social equality.

While economic factors, such as the end of slavery and the rise of the civil rights movement, also played significant roles, the social changes brought about by the civil rights movement were instrumental in shaping the experiences and opportunities for African Americans in the United States.

The amendments that granted different groups the right to vote include:

15th Amendment (1870): This amendment prohibited the denial of voting rights based on race, color, or previous condition of servitude.

It aimed to ensure that African American men could exercise their right to vote.

19th Amendment (1920): This amendment granted women the right to vote, extending suffrage to all adult female citizens.

23rd Amendment (1961): This amendment allowed residents of Washington, D.C., to vote in presidential elections, granting them representation in the Electoral College.

24th Amendment (1964): This amendment abolished the poll tax, which had been used as a discriminatory measure to prevent African Americans from voting in some states.

26th Amendment (1971): This amendment lowered the voting age from 21 to 18, granting young adults the right to vote.

Amendments were needed to expand voting rights because the original provisions in the U.S. Constitution did not explicitly guarantee the right to vote for all citizens.

Each amendment aimed to address a specific barrier or discriminatory practice and further broaden the inclusivity of the voting process, promoting the ideals of equality and democratic participation.

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Answer:

James Madison and George Mason, both Virginian Founding Fathers, diverged on some of the biggest debates of the Constitutional Convention—including the proper distribution of power between national and local government, the future of the slave trade, and whether or not the Constitution should have a Bill of Rights. Exploring these debates and their impact on the Constitution – scholars Colleen Sheehan and Jeff Broadwater join host Jeffrey Rosen. They dive into the core of the constitutional visions and ideas of Madison and Mason.

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The branch of christianity that is significant in russia bulgaria greece and romania is called eastern orthodox.

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In the Greek-speaking Christian world, the term orthodox has traditionally been used to refer to communities or individuals who have maintained the true faith as opposed to those who have been declared heretical. In Eastern Orthodox liturgical or canonical texts, the church is referred to as "the Orthodox Catholic Church."

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List the events in Wilson's foreign policy that are so the use of American power and wealth to influence and expand our sphere of influence. 1. Evidence of US. intervention 2. Expansion of territory

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Answer:

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Explanation:

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Some of the foreign policies of President Woodrow Wilson to ensure that American's power increased includes:

He was neutral during the World War IHe put forward the suggestion of arms reductionHe supported some European nations to gain their self-government, etc.

President Wilson Woodrow was the 28th United States president who was in power during the first World War and made some foreign policies that were meant to ensure that the United States remained powerful and wealthy.

Some of them included backing some European nations to get their independence so that they would gain them as an ally, suggestion an arms reduction so that the threat of other powerful nations against the United States would be greatly reduced.

Foreign policy has to do with the policies of a state in relation to other countries.

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