It cannot be a fraction or decimal

Oct 13, 2025 by leolavanderia.com.br 137 views

$It cannot be a fraction or decimal$

Introduction

Pieter's equation, $7h - 5(3h - 8) = -72$ , is a mathematical representation of the time it takes to dig a well to a depth of 72 feet below sea level. This equation is a linear equation, and solving it will provide valuable insights into the relationship between the number of hours spent digging and the depth of the well. In this article, we will analyze Pieter's equation, explore its properties, and determine the truth about his solution.

The Equation: A Closer Look

The given equation is $7h - 5(3h - 8) = -72$ . To begin solving this equation, we need to simplify it by applying the distributive property. This property states that for any real numbers $a$ , $b$ , and $c$ , $a(b + c) = ab + ac$ . Applying this property to the given equation, we get:

7h - 5(3h - 8) = 7h - 15h + 40 = -72

Simplifying further, we get:

-8h + 40 = -72

Now, we can isolate the variable $h$ by subtracting 40 from both sides of the equation:

-8h = -112

Finally, we can solve for $h$ by dividing both sides of the equation by -8:

h = \frac{-112}{-8} = 14

Analyzing the Solution

Now that we have solved Pieter's equation, let's analyze the solution. The solution states that it takes 14 hours to dig a well to a depth of 72 feet below sea level. However, the question asks which statement is true about Pieter's solution. The possible answers are:

A. It cannot be a fraction or decimal B. It can be a fraction or decimal C. It must be an integer D. It must be a positive number

Evaluating the Options

Let's evaluate each option to determine which one is true.

A. It cannot be a fraction or decimal: This statement is false because the solution $h = 14$ is an integer, but it can also be expressed as a fraction or decimal, such as $h = 14.0$ or $h = 14.0000$ .

B. It can be a fraction or decimal: This statement is true because the solution $h = 14$ can be expressed as a fraction or decimal, such as $h = 14.0$ or $h = 14.0000$ .

C. It must be an integer: This statement is false because the solution $h = 14$ is an integer, but it can also be expressed as a fraction or decimal, such as $h = 14.0$ or $h = 14.0000$ .

D. It must be a positive number: This statement is false because the solution $h = 14$ is a positive number, but it can also be expressed as a negative number, such as $h = -14$ .

Conclusion

In conclusion, the correct answer is B. It can be a fraction or decimal. Pieter's solution can be expressed as a fraction or decimal, such as $h = 14.0$ or $h = 14.0000$ . This is because the solution $h = 14$ is an integer, but it can also be expressed in other forms.

Final Thoughts

$Pieter's equation is a linear equation that models the time it takes to dig a well to a depth of 72 feet below sea level. Solving this equation provides valuable insights into the relationship between the number of hours spent digging and the depth of the well. In this article, we analyzed Pieter's equation, explored its properties, and determined the truth about his solution. We found that the correct answer is B. **It can be a fraction or decimal**.<br/> **Pieter's Equation: A Q&A Guide**$

Introduction

In our previous article, we analyzed Pieter's equation, $7h - 5(3h - 8) = -72$ , and determined that the correct answer is B. It can be a fraction or decimal. In this article, we will provide a Q&A guide to help you better understand Pieter's equation and its solution.

Q: What is Pieter's equation?

A: Pieter's equation is a mathematical representation of the time it takes to dig a well to a depth of 72 feet below sea level. The equation is $7h - 5(3h - 8) = -72$ .

Q: How do I solve Pieter's equation?

A: To solve Pieter's equation, you need to simplify it by applying the distributive property. This property states that for any real numbers $a$ , $b$ , and $c$ , $a(b + c) = ab + ac$ . Applying this property to the given equation, you get:

7h - 5(3h - 8) = 7h - 15h + 40 = -72

Simplifying further, you get:

-8h + 40 = -72

Now, you can isolate the variable $h$ by subtracting 40 from both sides of the equation:

-8h = -112

Finally, you can solve for $h$ by dividing both sides of the equation by -8:

h = \frac{-112}{-8} = 14

Q: What is the solution to Pieter's equation?

A: The solution to Pieter's equation is $h = 14$ . This means that it takes 14 hours to dig a well to a depth of 72 feet below sea level.

Q: Can the solution to Pieter's equation be a fraction or decimal?

A: Yes, the solution to Pieter's equation can be a fraction or decimal. For example, $h = 14.0$ or $h = 14.0000$ .

Q: Must the solution to Pieter's equation be an integer?

A: No, the solution to Pieter's equation does not have to be an integer. It can be a fraction or decimal.

Q: Must the solution to Pieter's equation be a positive number?

A: No, the solution to Pieter's equation does not have to be a positive number. It can be a negative number.

Q: What is the significance of Pieter's equation?

A: Pieter's equation is a mathematical representation of the time it takes to dig a well to a depth of 72 feet below sea level. Solving this equation provides valuable insights into the relationship between the number of hours spent digging and the depth of the well.

Q: How can I apply Pieter's equation in real-life situations?

A: Pieter's equation can be applied in real-life situations where you need to calculate the time it takes to complete a task or project. For example, if you are digging a well, you can use Pieter's equation to calculate the time it will take to reach a certain depth.

Conclusion

In conclusion, Pieter's equation is a mathematical representation of the time it takes to dig a well to a depth of 72 feet below sea level. Solving this equation provides valuable insights into the relationship between the number of hours spent digging and the depth of the well. We hope this Q&A guide has helped you better understand Pieter's equation and its solution.

Final Thoughts

Pieter's equation is a simple yet powerful tool that can be used to calculate the time it takes to complete a task or project. By understanding how to solve this equation, you can apply it in real-life situations and make informed decisions. We hope this article has been helpful in providing you with a better understanding of Pieter's equation.