Understanding the Concept of Equilibrium

Oct 13, 2025 by windailys.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

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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.