Which Equation Accurately Represents This Statement? Select Three Options.Negative 3 Less Than 4.9 Times A Number, \[$x\$\], Is The Same As 12.8.A. \[$-3 - 4.9x = 12.8\$\]B. \[$4.9x - (-3) = 12.8\$\]C. \[$3 + 4.9x =

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Understanding the Problem

In this problem, we are given a statement that involves a mathematical equation. The statement is: "Negative 3 less than 4.9 times a number, {x$}$, is the same as 12.8." We need to select the correct equation that accurately represents this statement.

Breaking Down the Statement

Let's break down the statement into smaller parts to understand it better.

  • "Negative 3 less than" means we need to subtract 3 from the result of the multiplication.
  • "4.9 times a number, {x$}$," means we need to multiply 4.9 by the number {x$}$.
  • "is the same as 12.8" means the result of the subtraction should be equal to 12.8.

Analyzing the Options

Now, let's analyze the three options given:

Option A: {-3 - 4.9x = 12.8$}$

This option represents the statement as: "Negative 3 less than 4.9 times a number, {x$}$, is the same as 12.8." It correctly represents the statement by subtracting 3 from the result of the multiplication.

Option B: ${4.9x - (-3) = 12.8\$}

This option represents the statement as: "4.9 times a number, {x$}$, minus negative 3 is the same as 12.8." However, this option does not accurately represent the statement because it does not correctly represent the subtraction of 3.

Option C: ${3 + 4.9x = 12.8\$}

This option represents the statement as: "3 plus 4.9 times a number, {x$}$, is the same as 12.8." However, this option does not accurately represent the statement because it does not correctly represent the subtraction of 3.

Conclusion

Based on the analysis of the options, the correct equation that accurately represents the statement is:

Option A: {-3 - 4.9x = 12.8$}$

This equation correctly represents the statement by subtracting 3 from the result of the multiplication.

Why is this equation correct?

This equation is correct because it accurately represents the statement by subtracting 3 from the result of the multiplication. The equation is also in the correct order, with the subtraction of 3 coming before the multiplication.

What is the significance of this equation?

This equation is significant because it represents a real-world scenario where a mathematical equation is used to solve a problem. In this case, the problem is to find the value of {x$}$ that satisfies the equation.

How can this equation be used in real life?

This equation can be used in real life in a variety of ways, such as:

  • In finance, to calculate the value of an investment based on a certain rate of return.
  • In science, to calculate the value of a physical quantity based on a certain formula.
  • In engineering, to calculate the value of a design parameter based on a certain formula.

Common Mistakes to Avoid

When working with equations, there are several common mistakes to avoid, such as:

  • Not following the order of operations.
  • Not correctly representing the statement.
  • Not accurately solving the equation.

Tips for Solving Equations

When solving equations, there are several tips to keep in mind, such as:

  • Follow the order of operations.
  • Correctly represent the statement.
  • Accurately solve the equation.

Conclusion

In conclusion, the correct equation that accurately represents the statement is:

Option A: {-3 - 4.9x = 12.8$}$

Q: What is the correct equation that accurately represents the statement?

A: The correct equation that accurately represents the statement is:

Option A: {-3 - 4.9x = 12.8$}$

This equation correctly represents the statement by subtracting 3 from the result of the multiplication.

Q: Why is this equation correct?

A: This equation is correct because it accurately represents the statement by subtracting 3 from the result of the multiplication. The equation is also in the correct order, with the subtraction of 3 coming before the multiplication.

Q: What is the significance of this equation?

A: This equation is significant because it represents a real-world scenario where a mathematical equation is used to solve a problem. In this case, the problem is to find the value of {x$}$ that satisfies the equation.

Q: How can this equation be used in real life?

A: This equation can be used in real life in a variety of ways, such as:

  • In finance, to calculate the value of an investment based on a certain rate of return.
  • In science, to calculate the value of a physical quantity based on a certain formula.
  • In engineering, to calculate the value of a design parameter based on a certain formula.

Q: What are some common mistakes to avoid when working with equations?

A: Some common mistakes to avoid when working with equations include:

  • Not following the order of operations.
  • Not correctly representing the statement.
  • Not accurately solving the equation.

Q: What are some tips for solving equations?

A: Some tips for solving equations include:

  • Follow the order of operations.
  • Correctly represent the statement.
  • Accurately solve the equation.

Q: How can I determine the correct equation that accurately represents a statement?

A: To determine the correct equation that accurately represents a statement, follow these steps:

  1. Read the statement carefully and identify the key elements.
  2. Break down the statement into smaller parts to understand it better.
  3. Analyze the options and determine which one accurately represents the statement.
  4. Check the equation to ensure it is in the correct order and accurately represents the statement.

Q: What is the importance of accurately representing a statement in an equation?

A: Accurately representing a statement in an equation is crucial because it ensures that the equation is correct and can be used to solve the problem. If the statement is not accurately represented, the equation may not be correct, and the solution may be incorrect.

Q: How can I practice solving equations and determining the correct equation that accurately represents a statement?

A: To practice solving equations and determining the correct equation that accurately represents a statement, try the following:

  • Practice solving equations with different variables and constants.
  • Practice determining the correct equation that accurately represents a statement by analyzing the options and checking the equation.
  • Use online resources or practice problems to help you practice and improve your skills.

Conclusion

In conclusion, the correct equation that accurately represents the statement is:

Option A: {-3 - 4.9x = 12.8$}$

This equation correctly represents the statement by subtracting 3 from the result of the multiplication. It is significant because it represents a real-world scenario where a mathematical equation is used to solve a problem. By following the tips for solving equations and accurately representing a statement, we can ensure that the equation is correct and can be used to solve the problem.