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
Step 1: Solve problem 1. Let the missing number be x. (2 + x) × 4 = 48 Divide both sides by 4: 2 + x = (48)/(4) 2 + x = 12 Subtract 2 from both sides: x = 12 - 2 x = 10 The missing number is 10. Step 2: Solve problem 2. Let the missing number be x. (x - 12) ÷ 3 = 6 Multiply both sides by 3: x - 12 = 6 × 3 x - 12 = 18 Add 12 to both sides: x = 18 + 12 x = 30 The missing number is 30. Step 3: Solve problem 3. Let the missing number be x. x - (12 ÷ 3) = 6 First, calculate the division in the parentheses: x - 4 = 6 Add 4 to both sides: x = 6 + 4 x = 10 The missing number is 10. Step 4: Solve problem 5. Let the missing number be x. x - 3 + 5 = 12 Combine the constant terms: x + 2 = 12 Subtract 2 from both sides: x = 12 - 2 x = 10 The missing number is 10. Step 5: Solve problem 7. Let the missing number be x. (16 - x) + 3 = 4 Subtract 3 from both sides: 16 - x = 4 - 3 16 - x = 1 Subtract 16 from both sides: -x = 1 - 16 -x = -15 Multiply both sides by -1: x = 15 The missing number is 15. Step 6: Complete numeric pattern a). The pattern is 1, 4, 7, 10, This is an arithmetic sequence where each term is 3 more than the previous term. The common difference is 3. The next three terms are: 10 + 3 = 13 13 + 3 = 16 16 + 3 = 19 The completed pattern is 1, 4, 7, 10, 13, 16, 19. That's 2 down. 3 left today — send the next one.