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
The question asks to find an expression equivalent to 20(9+5). Step 1: Understand the original expression. The expression 20(9+5) means 20 multiplied by the sum of 9 and 5. Using the order of operations (PEMDAS/BODMAS), we first calculate the sum inside the parentheses: 9+5 = 14 Then, we multiply by 20: 20 × 14 = 280 Step 2: Evaluate each option. A) 9(20+5) 9(20+5) = 9(25) = 225 This is not equal to 280. B) 20(5+9) Using the commutative property of addition, 9+5 is equivalent to 5+9. 20(5+9) = 20(14) = 280 This is equal to 280. C) 20(9)+5 20(9)+5 = 180+5 = 185 This is not equal to 280. D) (20+9)5 (20+9)5 = (29)5 = 145 This is not equal to 280. E) 20+(9)(5) 20+(9)(5) = 20+45 = 65 This is not equal to 280. Comparing the values, only option B is equivalent to the original expression. The final answer is B. Last free one today — make it count tomorrow, or type /upgrade for unlimited.