In one day, a toy store sold 15 toy cars and 20 yo-yos for a total of $190. The next day, the toy store sold 3 toy cars and 12 yo-yos for a total of $102. What is the cost of one toy car?

Answers

Answer 1

Explanation:

Let the price of a toy car be a.

Let the price of a yo-yo be b.

You can solve this problem using simultaneous linear equation.

From the question above, you can form 2 separate equations.

For the first equation,

3 toy cars sold next day = 3a

12 yo-yos sold next day = 12b

Total price = $102

The second equation would be

[tex]3a + 12b = 102[/tex]

Now, we are not finished yet. Make sure that for the first equation, only one of the unknown (a or b) stays on the left-hand side of the equation. Let's try a.

[tex]3a + 12b = 102 \\ 3a = 102 - 12b \\ a = \frac{102 - 12b}{3} \\ a = 34 - 4b[/tex]

Lets move on with finding the second equation.

15 toy cars sold = 15a

20 yo-yos sold = 20b

Total price = $190

So, the second equation would be:

[tex]15a + 20b = 190[/tex]

You don't have to move any unknowns to the other side for the second equation.

Now, take equation 1 and substitute into equation 2. This can be done by replacing the value of a in the second equation with the value of a on the right hand-side of the first equation. For example:

[tex]15a + 20b = 190 \\ 15(34 - 4b) + 20b = 190 \\ 510 - 60b + 20b = 190 \\ 510 - 190 = 60b - 20b \\ 320 = 40b \\ b = \frac{320}{40} \\ = 8[/tex]

Hence, the price of a yo-yo, b, is $8. The price of a toy car is :

[tex]a = 34 - 4b \\ = 34 - 4(8) \\ = 2[/tex]

$2.

Answer 2

The cost of one toy car is $2.

What is a simultaneous linear equation?

Two or more linear equations that all contain the same unknown variables are called a system of simultaneous linear equations. Solving such a system means finding values for the unknown variables which satisfy all the equations at the same time.

Let the price of a toy car be [tex]a[/tex].

Let the price of a Yo-Yo be [tex]b[/tex].

For the first equation,

3 toy cars sold the next day = 3[tex]a[/tex]

12 yo-yos sold the next day = 12[tex]b[/tex]

Total price = $102

The first equation would be

3[tex]a[/tex]+12[tex]b[/tex]=102

Finding the second equation.

15 toy cars sold = 15[tex]a[/tex]

20 yo-yos sold = 20[tex]b[/tex]

Total price = $190

So, the second equation would be:

15[tex]a[/tex]+20[tex]b[/tex]=$190

With the help of these equations, we can find the price of a toy car.

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Related Questions

Which states were created as a result of the Northwest Ordinance? Select the two correct answers.
O A Idaho
B Illinois
C Ohio
o
D. Oregon
E. Washington

Answers

Answer: Ohio and Illinois

Explanation:

I think it is Ohio hope this helps

How did the controversy over the election of 1876 affect Reconstruction?
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(B) It drove a compromise that ended Reconstruction.
(C) It drove the Supreme Court to uphold the Slaughterhouse Cases, which revivalry Reconstruction.
(D) It ended the domination of southern Democrats, which revived Reconstruction.

Answers

Answer:

(B) It drove a compromise that ended Reconstruction.

Explanation:

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Answers

I’d probably link the paragraph or something but look for anything that seems like it even remotely leans towards one side of whatever you’re reading.

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B) to introduce the audience to the solution
C) to persuade the audience to support the plan
D) to explain the problem to the audience

Answers

Answer:

C) to persuade the audience to support the plan

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Option C is the correct answer.

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When the proposal is created, then the attempt is to induce the people to listen to their proposals and understand what it is about. It could be formal or informal depending on the purpose of the proposal for which it is being created.

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Answer:

ExplaDemocracy

Concrete

Central heating

Socratic Method of investigation

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A centralized government, structured religion, social classes, arts and culture, and writing are the five traits of civilization.

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The art of ancient Greece and Rome is an essential component in investigations of the manner in which gendered bodies and sexual differences are conceived of and transmitted visually because of the priority placed on the classical body in the European tradition.

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Answers

Answer:

what other sources say about the event

Explanation:

A thought that a historian thinks about when analyzing a primary source is, “What do other sources say about the event?" Therefore, option B is the correct option.

What is a primary source?

A primary source is a source of information which gives the reader or listener the first-hand and original knowledge about something or the given topic and subject. The purpose of primary sources is to help their users with research and gain some first-hand and authentic knowledge. A few examples of primary sources are videos, photographs, autobiographies, research papers, results of experiments, memoirs, and so on.

Thus, when examining a primary source, a historian may consider: "What do other sources say about the event?" As a result, choice B is the best one.

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Answers

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The Federalists felt that this addition wasn't necessary, because they believed that the Constitution as it stood only limited the government not the people. The Anti- Federalists claimed the Constitution gave the central government too much power, and without a Bill of Rights the people would be at risk of oppression.

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Architects are people who plan what to do and how to do. Developers are people who actually do it. ... Architect design the application, how each module will be built, how these modules will be integrated, etc. Developers will write programs to build these modules and integrate them and build the whole application

Choose the right phrase to complete this sentence. The Appalachian Mountains run east to west, dividing the colonies into northern and southern regions. run north and south all the way into what is now Canada. run along the eastern coast of North America. are small and were of little importance to the early colonists.

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Answer:

b

Explanation:

Answer:

its b

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Answers

Answer:

portugal

Explanation:

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A) Government can only do what the courts give it authority to do.

B) Government can only do what legislators give it authority to do.

C) Government can only do what the peame give it authority to do.

D)Government can only do what the president gives it authority to do.

Answers

Answer:

Government can only do what the president gives it authority to do.

Explanation:

D

Answer:

D

Explanation:

Government can only do what the president gives it authority to do.

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Answer:

True!

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Explanation:

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Answers

Explanation:

Maurya empire

hope it will help u ✌️

Answer:

Maurya empire

Explanation:

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Answer:

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Answers

The U.S. Declaration of Independence states that "when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government" (emphasis added).

Answer:

The U.S. Declaration of Independence states that "when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government"

Explanation:

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Answers

Answer:

To keep a check on the immigration to being stability in the nation.

Explanation:

The United States needs to interview immigrants coming for specific qualities, skills and education to keep a track on people what is their purpose in the country. It also helps in understand the pattern of immigration and understand the flow of immigration in different plans. It's better to get an interview because it helps in getting to know the person before allowing in entering the country for security reasons.

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ok,10km i ih jn jn jn g f f n h. j. j h n h oj. h h j

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Answer:

Explanation:

Shays' Rebellion was an armed uprising in Western Massachusetts in opposition to a debt crisis among the citizenry and the state government's increased efforts to collect taxes both on individuals and their trades; the fight took place mostly in and around Springfield during 1786 and 1787. American Revolutionary War veteran Daniel Shays led four thousand rebels in a protest against economic and civil rights injustices. Shays was a farmhand from Massachusetts at the beginning of the Revolutionary

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Answers

The answer is The Puritan Revolution ir English Civil Wat

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Answers

Answer:

Direct democracy has never worked

Explanation:

Disadvantages include: rule of the mob mass, promotes manipulation and corruption, instability, and slows the country's progress among other crucial disadvantages.

Answer:

Direct democracy can often take a long time to initiate. Even a good idea that could potentially have a large amount of support may take a long time to gain enough traction to become an official proposal.

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Explanation:

Plato direct answer

we're is the yellow river​

Answers

Answer:

The line that B is on is the Yellow River. It's in China.

Answer:

B (pls can i get a brainliest)

Explanation:

The yellow river is located in China, the Yellow River or Huang He is the second-longest river in China, after the Yangtze River, and the sixth-longest river system in the world at the estimated length of 5,464 km.                  hope this helps :)

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Answers

Answer:

Option: d) encouraged settlement.

Explanation:

The Land Ordinance of 1785 and the Northwest Ordinance of 1787 of the United States emphasized laws that made an effort for an orderly settlement in the western territories.

The Land Ordinance was issued when the Confederation Congress stated claiming lands from the Native Americans for settlement in the West. The setters allow purchasing land in the West for farmland.

The Northwest Ordinance of 1787 by the Confederation Congress approved toward statehood for the territories northwest of the Ohio River. Therefore both dealt with expanding territory and encourage settlement.

Answer:

Its D. Encouraged Settlement

Explanation:

I just took the quiz on edge

The concept of one God originated with who

Answers

Answer:

Jesus of Nazareth (jesus christ)

Explanation:

hope this helps

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Answers

Answer:

FALSE because the Alamo got the name by a grove of nearby cottonwood trees,

Explanation: Hope this helps :))

Can someone help me with this question and explain me well too. *AND please don't just write whatever because that is not helpful for me or then i'll REPORT you* QUESTION: What best describes the result of the Missouri Compromise? A= It solved the slavery issue in America. B= It led to the ending of slavery in America C= It banned slavery in all new territories D= It temporarily calmed the slavery issue in America.

Answers

Answer:

Your answer will be D.

Explanation:

The Compromise of 1850 acted as a temporary truce on the issue of slavery. The reason why is the Compromise worked out the issue of slavery in the North and South. The South is known to be "Slave States". But at this time everyone had slaves but majority of the slaves were located in the South. (So when you hear about freed slaves at the end of the Civil War most of them have moved to either Kansas or Missouri.) So becuase of the Missouri Compromise, Missouri has now freed its slaves along with slaves in Maine. It also learned how to deal with the spread of slavery into western territories. The compromise divided the lands of the Louisiana Purchase into two parts. Slavery would be allowed south of latitude 36 degrees 30'. So in conclusion this Compromise helped limit the amount of slaves in the south.

I Hope this helps :)

Which of these was a factor that led to the development of plantation agriculture in the South?

Answers

Answer:

Hello. You did not put the answer options, but I can help you by saying that the factors that led to the development of plantation agriculture in the South were the climate, the existence of plains and the fertile soil.

Explanation:

Most of the southern United States has soils with high fertility and with low prevalence of low plains and lands. In addition, the south has hot summers and dwarf winters, which means that plantation agriculture is favored to a great extent. This allowed the USA to become a strong agricultural power, in addition to allowing the southern states to be responsible for the consumption of food in the country.

In this case, in addition to livestock, the southern United States had a good establishment of crops such as wheat, barley and rye.

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