This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Okay, Samadhi, let's break down how r was factored out from the equation. We had the equation: 260 = 2r + (88)/(21) r Factoring means identifying a common term that appears in multiple parts of an expression and writing the expression as the product of that common term and the sum/difference of the remaining parts. In the expression 2r + (88)/(21) r, the variable r is present in both terms (2r and (88)/(21) r). Step 1: Identify the common factor. The common factor is r. Step 2: Rewrite each term as a product involving the common factor. • The first term, 2r, can be written as r × 2. • The second term, (88)/(21) r, can be written as r × (88)/(21). Step 3: Apply the distributive property in reverse. The distributive property states that a(b+c) = ab + ac. We have r × 2 + r × (88)/(21). Comparing this to ab + ac, we can see that a=r, b=2, and c=(88)/(21). So, we can rewrite it as r (2 + (88)/(21)). Therefore, the equation becomes: 260 = r (2 + (88)/(21)) This is how r was factored out. 3 done, 2 left today. You're making progress.