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.
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8) Step 1: Perform the addition. 33 + 23 = 56 Step 2: Compare with the given options. The correct option is D. The answer is D. 56 9) Step 1: Subtract 9 from both sides of the equation. 7x + 9 = 58 7x = 58 - 9 7x = 49 Step 2: Divide by 7. x = (49)/(7) x = 7 Step 3: Compare with the given options. The correct option is C. The answer is C. 7 10) Step 1: Subtract 4 from both sides of the equation. 6x + 4 = 40 6x = 40 - 4 6x = 36 Step 2: Divide by 6. x = (36)/(6) x = 6 Step 3: Compare with the given options. The correct option is D. The answer is D. 6 11) Step 1: Subtract 10 from both sides of the equation. 7x + 10 = 101 7x = 101 - 10 7x = 91 Step 2: Divide by 7. x = (91)/(7) x = 13 Step 3: Compare with the given options. The correct option is D. The answer is D. 13 12) Step 1: Subtract 17 from both sides of the equation. 8x + 17 = 177 8x = 177 - 17 8x = 160 Step 2: Divide by 8. x = (160)/(8) x = 20 Step 3: Compare with the given options. The correct option is A. The answer is A. 20 13) Step 1: Identify the pattern in the sequence 20, 23, 26, 29, 32, ... The difference between consecutive terms is: 23 - 20 = 3 26 - 23 = 3 29 - 26 = 3 32 - 29 = 3 The common difference is 3. Step 2: Add the common difference to the last term to find the next number. Next number = 32 + 3 = 35 Step 3: Compare with the given options. The correct option is B. The answer is B. 35 14) Step 1: Identify the pattern in the sequence 13, 15, 17, 19, 21, ... The difference between consecutive terms is: 15 - 13 = 2 17 - 15 = 2 19 - 17 = 2 21 - 19 = 2 The common difference is 2. Step 2: Add the common difference to the last term to find the next number. Next number = 21 + 2 = 23 Step 3: Compare with the given options. The correct option is C. The answer is C. 23 15) Step 1: Identify the pattern in the sequence 9, 14, 19, 24, 29, ... The difference between consecutive terms is: 14 - 9 = 5 19 - 14 = 5 24 - 19 = 5 29 - 24 = 5 The common difference is 5. Step 2: Add the common difference to the last term to find the next number. Next number = 29 + 5 = 34 The options for this question are not visible in the image. The answer is 34 Send me the next one 📸