What Expression Represents The Number Of Days In $48x + 24$ Hours In Simplest Form?A) $6x + 4$ B) $2x + 1$ C) $8x + 3$ D) $4x + 2$

What Expression Represents the Number of Days in $48x + 24$ Hours in Simplest Form?

Understanding the Problem

The problem requires us to find the simplest form of an expression that represents the number of days in $48x + 24$ hours. To solve this problem, we need to understand the concept of converting hours to days and then simplifying the expression.

Converting Hours to Days

There are 24 hours in a day. To convert hours to days, we need to divide the number of hours by 24. In this case, we have $48x + 24$ hours, and we want to find the number of days.

Simplifying the Expression

To simplify the expression, we need to divide $48x + 24$ by 24. This can be done by dividing the terms separately.

Step 1: Divide $48x$ by 24

$48x$ divided by 24 is equal to $2x$. This is because $48x$ can be written as $24 \times 2x$, and when we divide it by 24, we get $2x$.

Step 2: Divide 24 by 24

24 divided by 24 is equal to 1.

Combining the Results

Now that we have divided both terms, we can combine the results to get the simplified expression.

$2x + 1$

Evaluating the Options

The simplified expression is $2x + 1$. Let's evaluate the options to see which one matches this expression.

Option A: $6x + 4$

This option does not match the simplified expression.

Option B: $2x + 1$

This option matches the simplified expression.

Option C: $8x + 3$

This option does not match the simplified expression.

Option D: $4x + 2$

This option does not match the simplified expression.

Conclusion

The correct answer is Option B: $2x + 1$. This option matches the simplified expression, which represents the number of days in $48x + 24$ hours in simplest form.

Understanding the Concept

This problem requires us to understand the concept of converting hours to days and simplifying expressions. It also requires us to evaluate options and choose the correct one.

Real-World Applications

This problem has real-world applications in various fields, such as:

• Time Management: Understanding how to convert hours to days is essential in time management, where we need to plan and schedule tasks accordingly.
• Scheduling: Scheduling tasks and events requires us to understand how to convert hours to days, so we can plan and manage our time effectively.
• Mathematics: This problem requires us to apply mathematical concepts, such as division and simplification, to solve the problem.

Tips and Tricks

Here are some tips and tricks to help you solve this problem:

• Read the problem carefully: Make sure you understand what the problem is asking for.
• Break down the problem: Break down the problem into smaller steps, and solve each step separately.
• Use mathematical concepts: Apply mathematical concepts, such as division and simplification, to solve the problem.
• Evaluate options: Evaluate the options carefully, and choose the correct one.

Common Mistakes

Here are some common mistakes to avoid when solving this problem:

• Not reading the problem carefully: Failing to read the problem carefully can lead to misunderstandings and incorrect solutions.
• Not breaking down the problem: Failing to break down the problem into smaller steps can lead to confusion and incorrect solutions.
• Not using mathematical concepts: Failing to apply mathematical concepts, such as division and simplification, can lead to incorrect solutions.
• Not evaluating options carefully: Failing to evaluate options carefully can lead to choosing the incorrect solution.

Conclusion

In conclusion, the correct answer is Option B: $2x + 1$. This option matches the simplified expression, which represents the number of days in $48x + 24$ hours in simplest form.
What Expression Represents the Number of Days in $48x + 24$ Hours in Simplest Form? - Q&A

Q: What is the problem asking for?

A: The problem is asking for the simplest form of an expression that represents the number of days in $48x + 24$ hours.

Q: How do I convert hours to days?

A: To convert hours to days, you need to divide the number of hours by 24. In this case, we have $48x + 24$ hours, and we want to find the number of days.

Q: How do I simplify the expression?

A: To simplify the expression, you need to divide $48x + 24$ by 24. This can be done by dividing the terms separately.

Q: What is the first step in simplifying the expression?

A: The first step in simplifying the expression is to divide $48x$ by 24. This is equal to $2x$.

Q: What is the second step in simplifying the expression?

A: The second step in simplifying the expression is to divide 24 by 24. This is equal to 1.

Q: How do I combine the results?

A: To combine the results, you need to add the two terms together. This gives us $2x + 1$.

Q: Which option matches the simplified expression?

A: Option B: $2x + 1$ matches the simplified expression.

Q: What are some real-world applications of this problem?

A: This problem has real-world applications in various fields, such as time management, scheduling, and mathematics.

Q: What are some tips and tricks to help me solve this problem?

A: Here are some tips and tricks to help you solve this problem:

• Read the problem carefully
• Break down the problem into smaller steps
• Use mathematical concepts, such as division and simplification
• Evaluate options carefully

Q: What are some common mistakes to avoid when solving this problem?

A: Here are some common mistakes to avoid when solving this problem:

• Not reading the problem carefully
• Not breaking down the problem into smaller steps
• Not using mathematical concepts, such as division and simplification
• Not evaluating options carefully

Q: Can you provide an example of how to apply this concept in real life?

A: Here's an example of how to apply this concept in real life:

Suppose you have a project that requires 48 hours of work, and you want to know how many days it will take to complete. If you divide 48 hours by 24, you get 2 days. However, if you have 24 hours of work left, you need to add 1 day to the total number of days. Therefore, the total number of days is 2 + 1 = 3 days.

Q: Can you provide a summary of the problem and the solution?

A: Here's a summary of the problem and the solution:

The problem is asking for the simplest form of an expression that represents the number of days in $48x + 24$ hours. To solve this problem, we need to convert hours to days by dividing the number of hours by 24. We then simplify the expression by dividing the terms separately and combining the results. The correct answer is Option B: $2x + 1$.

Q: Can you provide a list of key terms and concepts related to this problem?

A: Here's a list of key terms and concepts related to this problem:

• Converting hours to days
• Simplifying expressions
• Division
• Addition
• Real-world applications
• Time management
• Scheduling
• Mathematics

Q: Can you provide a list of resources for further learning?

A: Here's a list of resources for further learning:

• Online math tutorials
• Math textbooks
• Online resources for time management and scheduling
• Math apps and software
• Online communities for math enthusiasts

Conclusion

In conclusion, the correct answer is Option B: $2x + 1$. This option matches the simplified expression, which represents the number of days in $48x + 24$ hours in simplest form.