Translate The Sentence Into An Equation Using \[$ N \$\] As The Unknown Number. Then Solve The Equation For \[$ N \$\]. Round To The Nearest Hundredth If Necessary.The Quotient Of A Number Divided By 6 Is 3.5.a. \[$\frac{6}{n} =

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Introduction

In this article, we will delve into the world of mathematics and explore how to translate a sentence into an equation using the unknown number { n $}$. We will then solve the equation for { n $}$ and round the answer to the nearest hundredth if necessary. Our focus will be on the quotient of a number divided by 6, which is equal to 3.5.

Understanding the Problem

The problem states that the quotient of a number divided by 6 is 3.5. This can be translated into an equation using the unknown number { n $}$. To do this, we need to understand the concept of a quotient, which is the result of dividing one number by another.

Translating the Sentence into an Equation

The sentence "The quotient of a number divided by 6 is 3.5" can be translated into an equation using the unknown number { n $}$. To do this, we need to follow these steps:

  1. Identify the unknown number: In this case, the unknown number is { n $}$.
  2. Identify the divisor: The divisor is 6, as it is the number by which the unknown number is being divided.
  3. Identify the quotient: The quotient is 3.5, as it is the result of dividing the unknown number by 6.
  4. Write the equation: Using the information gathered, we can write the equation as {\frac{6}{n} = 3.5$.

Solving the Equation for [$ n $}$

Now that we have the equation {\frac{6}{n} = 3.5$, we can solve for the unknown number [$ n $}$. To do this, we need to follow these steps:

  1. Cross-multiply: To solve for { n $}$, we need to cross-multiply the equation. This involves multiplying both sides of the equation by { n $}$.
  2. Simplify the equation: After cross-multiplying, we can simplify the equation by dividing both sides by 3.5.
  3. Solve for { n $}$: Once we have simplified the equation, we can solve for { n $}$ by dividing both sides by 6.

Step-by-Step Solution

Let's follow the steps outlined above to solve the equation for { n $}$.

Step 1: Cross-multiply

To solve for { n $}$, we need to cross-multiply the equation. This involves multiplying both sides of the equation by { n $}$.

6n=3.5\frac{6}{n} = 3.5

6=3.5n6 = 3.5n

Step 2: Simplify the equation

After cross-multiplying, we can simplify the equation by dividing both sides by 3.5.

6=3.5n6 = 3.5n

63.5=3.5n3.5\frac{6}{3.5} = \frac{3.5n}{3.5}

1.71=n1.71 = n

Step 3: Solve for { n $}$

Once we have simplified the equation, we can solve for { n $}$ by dividing both sides by 6.

1.71=n1.71 = n

Conclusion

In this article, we have learned how to translate a sentence into an equation using the unknown number { n $}$. We have also solved the equation for { n $}$ and rounded the answer to the nearest hundredth if necessary. Our focus has been on the quotient of a number divided by 6, which is equal to 3.5.

Final Answer

Introduction

In our previous article, we explored how to translate a sentence into an equation using the unknown number [$ n $}$. We also solved the equation for { n $}$ and rounded the answer to the nearest hundredth if necessary. In this article, we will address some of the most frequently asked questions related to solving the quotient equation.

Q&A

Q: What is the quotient of a number divided by 6?

A: The quotient of a number divided by 6 is the result of dividing the number by 6. In this case, the quotient is 3.5.

Q: How do I translate the sentence "The quotient of a number divided by 6 is 3.5" into an equation?

A: To translate the sentence into an equation, you need to follow these steps:

  1. Identify the unknown number: In this case, the unknown number is { n $}$.
  2. Identify the divisor: The divisor is 6, as it is the number by which the unknown number is being divided.
  3. Identify the quotient: The quotient is 3.5, as it is the result of dividing the unknown number by 6.
  4. Write the equation: Using the information gathered, you can write the equation as {\frac{6}{n} = 3.5$.

Q: How do I solve the equation for [$ n $}$?

A: To solve the equation for { n $}$, you need to follow these steps:

  1. Cross-multiply: To solve for { n $}$, you need to cross-multiply the equation. This involves multiplying both sides of the equation by { n $}$.
  2. Simplify the equation: After cross-multiplying, you can simplify the equation by dividing both sides by 3.5.
  3. Solve for { n $}$: Once you have simplified the equation, you can solve for { n $}$ by dividing both sides by 6.

Q: What is the final answer to the equation?

A: The final answer to the equation is ${1.71$.Thisisthevalueoftheunknownnumber\[1.71\$. This is the value of the unknown number \[ n $}$ that satisfies the equation.

Q: Can I use a calculator to solve the equation?

A: Yes, you can use a calculator to solve the equation. However, it is always a good idea to show your work and follow the steps outlined above to ensure that you understand the solution.

Q: What if I get a different answer using a calculator?

A: If you get a different answer using a calculator, it may be due to rounding errors or other calculation mistakes. Make sure to double-check your work and follow the steps outlined above to ensure that you get the correct answer.

Conclusion

In this article, we have addressed some of the most frequently asked questions related to solving the quotient equation. We have provided step-by-step solutions and explanations to help you understand the concept and solve the equation for { n $}$. If you have any further questions or need additional help, feel free to ask.

Additional Resources

Final Answer

The final answer is [$1.71$.