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
Hey cafu, good to see you again. Here are the solutions to the multiple-choice questions: 1. Solve 7 - 2x > 15 - 4x. Step 1: Add 4x to both sides of the inequality. 7 - 2x + 4x > 15 - 4x + 4x 7 + 2x > 15 Step 2: Subtract 7 from both sides. 7 + 2x - 7 > 15 - 7 2x > 8 Step 3: Divide both sides by 2. (2x)/(2) > (8)/(2) x > 4 The correct option is A. x > 4. 2. Evaluate p^2(q-1) when p=2 and q=(3)/(4). Step 1: Substitute the given values of p and q into the expression. p^2(q-1) = (2)^2((3)/(4)-1) Step 2: Calculate the value inside the parenthesis. (3)/(4)-1 = (3)/(4)-(4)/(4) = -(1)/(4) Step 3: Calculate p^2. (2)^2 = 4 Step 4: Multiply the results. 4 × (-(1)/(4)) = -1 The correct option is B. -1. 3. Antwi has 20 mangoes and 20% are rotten. How many of them are not rotten? Step 1: Calculate the number of rotten mangoes. Rotten mangoes = 20\% of 20 = (20)/(100) × 20 = (1)/(5) × 20 = 4 Step 2: Calculate the number of mangoes that are not rotten. Not rotten mangoes = Total mangoes - Rotten mangoes Not rotten mangoes = 20 - 4 = 16 The correct option is A. 16. 4. Which of the following is not a composite number? A composite number is a positive integer that has at least one divisor other than 1 and itself. A number that is not composite (and greater than 1) is a prime number. A. 65: Divisible by 5 and 13 (e.g., 5 × 13 = 65). So, 65 is composite. B. 39: Divisible by 3 and 13 (e.g., 3 × 13 = 39). So, 39 is composite. C. 41: Only divisible by 1 and 41. So, 41 is a prime number. D. 24: Divisible by 2, 3, 4, 6, 8, 12 (e.g., 2 × 12 = 24). So, 24 is composite. The number that is not a composite number is 41. The correct option is C. 41. 5. Mary receives a commission of 15% on articles sold in a week. If her commission was GH¢ 60.00, how much sales did she make? Step 1: Let S be the total sales. The commission is 15% of the total sales. 15\% of S = GH¢ 60.00 Step 2: Convert the percentage to a decimal or fraction. 0.15 × S = 60 Step 3: Solve for S by dividing both sides by 0.15. S = (60)/(0.15) S = (60)/(15)100 = 60 × (100)/(15) S = 4 × 100 S = GH¢ 400.00 The correct option is B. GH¢ 400.00. Drop the next question.