Answer:
![k = 2.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/40l35ew9wnt2wgtsio0mk7j7eqnp8f8nqn.png)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Explanation:
Step 1: Define
![(7.6)/(2) = (9.5)/(k)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q0hrkvqybzsygompa4sb4rxaxlgfl9ldyp.png)
Step 2: Solve for k
- Cross-multiply:
![7.6k = 2(9.5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vbbl2bsacm9nbgzjwz5og65zw0cxsnl38c.png)
- Multiply:
![7.6k = 19](https://img.qammunity.org/2021/formulas/mathematics/high-school/wh1buyqezn3xuq3sxh7jpqper5lzunfssg.png)
- Isolate k:
![k = 2.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/40l35ew9wnt2wgtsio0mk7j7eqnp8f8nqn.png)