Determine the value of *a*:

10*a* = 76.2

To solve for \( a \) in the equation:

\[
10a = 76.2
\]

### Steps:

1. Divide both sides of the equation by 10 to isolate \( a \):
\[
a = \frac{76.2}{10}
\]

2. Perform the division:
\[
a = 7.62
\]

### Conclusion:
The value of \( a \) is **7.62**.

Would you like more details on solving equations like this?

Here are 5 related questions:
1. How would you solve if the equation was \( 5a = 76.2 \)?
2. What if the equation was \( 10a + 3 = 76.2 \)?
3. How do you solve an equation if \( a \) is squared, like \( a^2 = 76.2 \)?
4. How would you approach solving \( a/2 = 76.2 \)?
5. How does this process change if fractions are involved?

**Tip:** To isolate a variable, apply the opposite operation to both sides of the equation, such as dividing when it's multiplied.

Discover how to solve the linear equation 10a = 76.2 through a step-by-step breakdown. This algebra problem highlights key concepts like dividing to isolate a variable, making it suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation