Evaluate The Expression When $x=7$ And $z=3$.$5x^2+\frac{57}{z}$Simplify Your Answer As Much As Possible.

Introduction

In this article, we will evaluate the given expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$. We will simplify the expression as much as possible to obtain the final result.

Understanding the Expression

The given expression is a combination of two terms: $5x^2$ and $\frac{57}{z}$. The first term is a quadratic expression, while the second term is a fraction. To simplify the expression, we need to substitute the given values of $x$ and $z$ into the expression.

Substituting Values

We are given that $x=7$ and $z=3$. We will substitute these values into the expression $5x^2+\frac{57}{z}$.

Evaluating the Expression

To evaluate the expression, we need to follow the order of operations (PEMDAS):

1. Evaluate the exponent: $x^2 = 7^2 = 49$
2. Multiply 5 by the result: $5 \times 49 = 245$
3. Evaluate the fraction: $\frac{57}{z} = \frac{57}{3} = 19$
4. Add the two results: $245 + 19 = 264$

Simplifying the Expression

The final result is $264$. This is the simplified form of the expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$.

Conclusion

In this article, we evaluated the expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$. We simplified the expression by following the order of operations and substituting the given values. The final result is $264$.

Frequently Asked Questions

• What is the value of $x^2$ when $x=7$? $x^2 = 7^2 = 49$
• What is the value of $\frac{57}{z}$ when $z=3$? $\frac{57}{z} = \frac{57}{3} = 19$
• What is the final result of the expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$? The final result is $264$.

Step-by-Step Solution

1. Evaluate the exponent: $x^2 = 7^2 = 49$
2. Multiply 5 by the result: $5 \times 49 = 245$
3. Evaluate the fraction: $\frac{57}{z} = \frac{57}{3} = 19$
4. Add the two results: $245 + 19 = 264$

Final Answer

The final answer is $\boxed{264}$.

Introduction

In our previous article, we evaluated the expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$. We simplified the expression by following the order of operations and substituting the given values. In this article, we will answer some frequently asked questions related to the expression and provide additional information to help you understand the concept better.

Q&A

Q: What is the value of $x^2$ when $x=7$?

A: The value of $x^2$ when $x=7$ is $49$. This is because $x^2 = 7^2 = 49$.

Q: What is the value of $\frac{57}{z}$ when $z=3$?

A: The value of $\frac{57}{z}$ when $z=3$ is $19$. This is because $\frac{57}{z} = \frac{57}{3} = 19$.

Q: What is the final result of the expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$?

A: The final result of the expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$ is $264$. This is because $5x^2 = 245$ and $\frac{57}{z} = 19$, so $5x^2 + \frac{57}{z} = 245 + 19 = 264$.

Q: Can I use a calculator to evaluate the expression?

A: Yes, you can use a calculator to evaluate the expression. However, it's always a good idea to understand the concept and follow the order of operations to ensure accuracy.

Q: What if I have a different value for $x$ or $z$?

A: If you have a different value for $x$ or $z$, you can simply substitute the new values into the expression and follow the order of operations to evaluate the expression.

Q: Can I use this concept to evaluate other expressions?

A: Yes, you can use this concept to evaluate other expressions that involve variables and fractions. Just remember to follow the order of operations and substitute the given values into the expression.

Additional Tips

• Always follow the order of operations (PEMDAS) when evaluating expressions.
• Make sure to substitute the given values into the expression correctly.
• Use a calculator to check your work, but also make sure to understand the concept.
• Practice evaluating expressions with different values to become more confident in your skills.

Conclusion

In this article, we answered some frequently asked questions related to the expression $5x^2+\frac{57}{z}$ and provided additional information to help you understand the concept better. We also provided some additional tips to help you become more confident in your skills. Remember to always follow the order of operations and substitute the given values into the expression correctly to ensure accuracy.

Frequently Asked Questions

• What is the value of $x^2$ when $x=7$?
• What is the value of $\frac{57}{z}$ when $z=3$?
• What is the final result of the expression $5x^2+\frac{57}{z}$ when $x=7$ and $z=3$?
• Can I use a calculator to evaluate the expression?
• What if I have a different value for $x$ or $z$?

Step-by-Step Solution

1. Evaluate the exponent: $x^2 = 7^2 = 49$
2. Multiply 5 by the result: $5 \times 49 = 245$
3. Evaluate the fraction: $\frac{57}{z} = \frac{57}{3} = 19$
4. Add the two results: $245 + 19 = 264$

Final Answer

The final answer is $\boxed{264}$.