Understanding the Concept of Equilibrium

Oct 13, 2025 by miodeya.com 76 views

What is p at the Point of Equilibrium in the Equation S = (6/5)p - 44?

Understanding the Concept of Equilibrium

In mathematics, equilibrium refers to a state where the forces or values are balanced, resulting in no net change. In the context of the given equation, S = (6/5)p - 44, we are looking for the value of p at the point of equilibrium. This means that the value of S will be zero at this point, as there will be no net change.

The Equation S = (6/5)p - 44

The given equation is a linear equation in the form of S = (6/5)p - 44. To find the value of p at the point of equilibrium, we need to set S equal to zero and solve for p.

Setting S Equal to Zero

To find the value of p at the point of equilibrium, we set S equal to zero:

0 = (6/5)p - 44

Solving for p

Now, we need to solve for p. To do this, we can add 44 to both sides of the equation:

44 = (6/5)p

Next, we can multiply both sides of the equation by 5/6 to isolate p:

p = 44 * (5/6)

Calculating the Value of p

Now, we can calculate the value of p:

p = 44 * (5/6) p = 36.67

Rounding to the Nearest Tenth

The question asks for the value of p to the nearest tenth. Therefore, we need to round 36.67 to the nearest tenth:

p ≈ 36.7

Conclusion

In conclusion, the value of p at the point of equilibrium in the equation S = (6/5)p - 44 is 36.7, to the nearest tenth.

Answer

The correct answer is:

D. 36.7

Additional Information

The other options are not correct because:

A. 56.0 is not the value of p at the point of equilibrium. B. 43.3 is not the value of p at the point of equilibrium. C. 37.4 is not the value of p at the point of equilibrium.

Final Thoughts

In this article, we have discussed the concept of equilibrium and how to find the value of p at the point of equilibrium in the equation S = (6/5)p - 44. We have also calculated the value of p and rounded it to the nearest tenth. The correct answer is D. 36.7.
Q&A: What is p at the Point of Equilibrium in the Equation S = (6/5)p - 44?

Frequently Asked Questions

In this article, we will answer some of the most frequently asked questions related to the concept of equilibrium and the equation S = (6/5)p - 44.

Q: What is the concept of equilibrium?

A: The concept of equilibrium refers to a state where the forces or values are balanced, resulting in no net change. In the context of the given equation, S = (6/5)p - 44, we are looking for the value of p at the point of equilibrium.

Q: How do I find the value of p at the point of equilibrium?

A: To find the value of p at the point of equilibrium, you need to set S equal to zero and solve for p. This involves adding 44 to both sides of the equation and then multiplying both sides by 5/6 to isolate p.

Q: What is the equation S = (6/5)p - 44?

A: The equation S = (6/5)p - 44 is a linear equation in the form of S = (6/5)p - 44. To find the value of p at the point of equilibrium, we need to set S equal to zero and solve for p.

Q: Why do I need to round the value of p to the nearest tenth?

A: The question asks for the value of p to the nearest tenth. Therefore, we need to round the calculated value of p to the nearest tenth.

Q: What is the correct answer?

A: The correct answer is D. 36.7.

Q: Why are the other options not correct?

A: The other options are not correct because they do not represent the value of p at the point of equilibrium in the equation S = (6/5)p - 44.

Q: Can you provide more information about the equation S = (6/5)p - 44?

A: The equation S = (6/5)p - 44 is a linear equation that represents a straight line on a graph. To find the value of p at the point of equilibrium, we need to set S equal to zero and solve for p.

Q: How do I apply the concept of equilibrium in real-life situations?

A: The concept of equilibrium can be applied in various real-life situations, such as finding the balance point of a seesaw or determining the equilibrium price of a commodity in economics.

Q: Can you provide more examples of equations that involve the concept of equilibrium?

A: Yes, here are a few examples of equations that involve the concept of equilibrium:

S = (3/4)p - 20
S = (2/3)p + 15
S = (1/2)p - 10

Conclusion

In conclusion, we have answered some of the most frequently asked questions related to the concept of equilibrium and the equation S = (6/5)p - 44. We hope that this article has provided you with a better understanding of the concept of equilibrium and how to apply it in various situations.

Additional Resources

If you have any further questions or need additional resources, please feel free to contact us. We are here to help.

Final Thoughts

In this article, we have discussed the concept of equilibrium and how to find the value of p at the point of equilibrium in the equation S = (6/5)p - 44. We have also answered some of the most frequently asked questions related to this topic. We hope that this article has provided you with a better understanding of the concept of equilibrium and how to apply it in various situations.