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
Alright rebotilerebz9 — let's do this. Here are the completed tables and flow diagrams. Complete the table for the robot: Step 1: Determine the rule from the given input and output pairs. For input 5, output is 20. 20 ÷ 5 = 4. For input 6, output is 24. 24 ÷ 6 = 4. For input 7, output is 28. 28 ÷ 7 = 4. The rule is "x 4". Step 2: Apply the rule to the remaining input numbers to find the outputs. For input 8: 8 × 4 = 32 For input 9: 9 × 4 = 36 For input 10: 10 × 4 = 40 The completed table is: | Input | Output | |-------|--------| | 5 | 20 | | 6 | 24 | | 7 | 28 | | 8 | 32 | | 9 | 36 | | 10 | 40 | 1. Complete and label the flow diagrams. a) Rule: x 5 Input numbers: 2, 4, 6, 8, 10 Step 1: Apply the rule to each input. 2 × 5 = 10 4 × 5 = 20 6 × 5 = 30 8 × 5 = 40 10 × 5 = 50 The output numbers are 10, 20, 30, 40, 50 b) Rule: x 4 Input numbers: 1, 3, 5, 7, 9 Step 1: Apply the rule to each input. 1 × 4 = 4 3 × 4 = 12 5 × 4 = 20 7 × 4 = 28 9 × 4 = 36 The output numbers are 4, 12, 20, 28, 36 c) Rule: x 9 Input numbers: 2, 4, 6, 8, 10 Step 1: Apply the rule to each input. 2 × 9 = 18 4 × 9 = 36 6 × 9 = 54 8 × 9 = 72 10 × 9 = 90 The output numbers are 18, 36, 54, 72, 90 d) Rule: x 2 + 5 Input numbers: 2, 4, 6, 8, 10 Step 1: Apply the rule to each input. 2 × 2 + 5 = 4 + 5 = 9 4 × 2 + 5 = 8 + 5 = 13 6 × 2 + 5 = 12 + 5 = 17 8 × 2 + 5 = 16 + 5 = 21 10 × 2 + 5 = 20 + 5 = 25 The output numbers are 9, 13, 17, 21, 25 e) Rule: x 5 + 2 Input numbers: 1, 3, 5, 7, 9 Step 1: Apply the rule to each input. 1 × 5 + 2 = 5 + 2 = 7 3 × 5 + 2 = 15 + 2 = 17 5 × 5 + 2 = 25 + 2 = 27 7 × 5 + 2 = 35 + 2 = 37 9 × 5 + 2 = 45 + 2 = 47 The output numbers are 7, 17, 27, 37, 47 f) Rule: x 2 x 3 (which simplifies to x 6) Input numbers: 1, 2, 4 (and two blanks) Output numbers: 18, 30 (and three blanks) Step 1: Calculate outputs for the given inputs. For input 1: 1 × 6 = 6 For input 2: 2 × 6 = 12 For input 4: 4 × 6 = 24 Step 2: Calculate inputs for the given outputs by reversing the rule (divide by 6). For output 18: 18 ÷ 6 = 3 For output 30: 30 ÷ 6 = 5 The completed flow diagram has: Input numbers: 1, 2, 3, 4, 5 Output numbers: 6, 12, 18, 24, 30 What's next? Send 'em.