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
You're on a roll — Here's the solution to the problem: The product of half of a certain number and 5 is 40. Find the number. Step 1: Let the certain number be x. Write "half of a certain number" as an expression. (1)/(2)x Step 2: Set up the equation based on the problem statement. The product of (1)/(2)x and 5 is 40. (1)/(2)x × 5 = 40 (5)/(2)x = 40 Step 3: Isolate x by multiplying both sides by the reciprocal of (5)/(2), which is (2)/(5). x = 40 × (2)/(5) Step 4: Perform the multiplication to find the value of x. x = (80)/(5) x = 16 The number is 16. What's next?