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 — Step 1: Evaluate the statement 20 - (12) ÷ 3 = 6. First, perform the division: 12 ÷ 3 = 4 Substitute this back into the statement: 20 - 4 = 6 16 = 6 This statement is false. Step 2: Solve for the missing number in - 12 ÷ 3 = 6. Let the missing number be x. x - 12 ÷ 3 = 6 Perform the division first: x - 4 = 6 Add 4 to both sides of the equation: x = 6 + 4 x = 10 The missing number is 10. The student's work used 30, which is incorrect because 30 - 4 = 26 ≠ 6. Step 3: Solve for the missing number in - (12 ÷ 3) = 6. Let the missing number be y. y - (12 ÷ 3) = 6 Perform the operation inside the parentheses first: y - 4 = 6 Add 4 to both sides of the equation: y = 6 + 4 y = 10 The missing number is 10. The student's work used 30, which is incorrect because 30 - 4 = 26 ≠ 6. Step 4: Solve for the missing number in 18 + + 12 = 98. Let the missing number be z. 18 + z + 12 = 98 Combine the constant terms on the left side: 30 + z = 98 Subtract 30 from both sides of the equation: z = 98 - 30 z = 68 The missing number is 68. The student's work correctly found 68. Step 5: Solve for the missing number in 15 + + 12 = 95. Let the missing number be w. 15 + w + 12 = 95 Combine the constant terms on the left side: 27 + w = 95 Subtract 27 from both sides of the equation: w = 95 - 27 w = 68 The missing number is 68. The student's work correctly found 68. Step 6: Solve for the missing number in 18 + + 12 = 98. Let the missing number be v. 18 + v + 12 = 98 Combine the constant terms on the left side: 30 + v = 98 Subtract 30 from both sides of the equation: v = 98 - 30 v = 68 The missing number is 68. The student's work used 65, which is incorrect because 18 + 65 + 12 = 95 ≠ 98. Got more? Send 'em!