https://file.aiquickdraw.com/mathbot/file/1725591476670xigala7p.jpg

From the image, the equation provided is:

\[
A_3 = 10 + 3 \left( \frac{130 - 10}{3 + 1} \right)
\]

We are asked to solve for \( A_3 \).

### Steps to solve:

1. First, simplify the fraction inside the parentheses:
   \[
   \frac{130 - 10}{3 + 1} = \frac{120}{4} = 30
   \]

2. Now substitute this value back into the equation:
   \[
   A_3 = 10 + 3(30)
   \]

3. Perform the multiplication:
   \[
   A_3 = 10 + 90 = 100
   \]

So, \( A_3 = 100 \), which matches the solution provided.

Would you like any further details or explanations?

### 5 Related Questions:
1. What does \( A_3 \) represent in this equation?
2. How would you approach solving similar equations with different numbers?
3. How is this type of problem related to arithmetic or geometric sequences?
4. Can you generalize this process for any formula of the same form?
5. What are some common errors to avoid when working with similar equations?

### Tip:
When simplifying fractions within equations, always check the order of operations carefully to avoid mistakes.

Solve for A_3 in the equation: A_3 = 10 + 3 * ((130 - 10) / (3 + 1))

Learn how to solve the arithmetic equation A_3 = 10 + 3 * ((130 - 10) / (3 + 1)) with a detailed step-by-step solution. This problem helps reinforce key algebraic concepts and simplification techniques. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation