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
Welcome back floramuavha — been a while! Let's pick up where you left off. Here are the solutions to the problems: 1.1 Step 1: Multiply the numbers. 28694 × 428 = 12280352 The product is 12280352. 1.2 Step 1: Divide the numbers. 187296 ÷ 4 = 46824 The quotient is 46824. 1.3 Step 1: Divide the numbers. 46514 ÷ 17 = 2736.1176... Since this is likely intended to be an exact division or a whole number answer, let's recheck the calculation. 46514 ÷ 17 = 2736 with a remainder of 2 If the question implies an exact division, there might be a typo in the number. Assuming it's meant to be calculated as given: 46514 ÷ 17 ≈ 2736.12 The quotient is approximately 2736.12. 1.4 Step 1: Perform the multiplication first. 563 × 18 = 10134 Step 2: Perform the subtraction. 10134 - 4 = 10130 The result is 10130. 1.5 Step 1: Find the total number of parts in the ratio. Total parts = 3 + 4 = 7 Step 2: Calculate the value of one part. Value of one part = R3507 = R50 Step 3: Calculate Kenzie's share. Kenzie's share = 3 × R50 = R150 Step 4: Calculate Connor's share. Connor's share = 4 × R50 = R200 Kenzie gets R150 and Connor gets R200. 1.6 Step 1: Use the formula for distance: Distance = Speed × Time. Given speed = 60 km/hour and time = 8 hours. Step 2: Substitute the values and calculate the distance. Distance = 60 km/hour × 8 hours = 480 km We can travel 480 km. 1.7 Step 1: Use the formula for speed: Speed = Distance ÷ Time. Given distance = 480 km and time = 4 hours. Step 2: Substitute the values and calculate the speed. Speed = 480 km4 hours = 120 km/hour We are driving at a speed of 120 km/hour. 1.8 Step 1: Draw a factor tree for 24. c 24 \\ / \ \\ 2 \ \ \ 12 \\ \ \ \ / \ \\ \ \ \ 2 \ \ \ 6 \\ \ \ \ \ \ \ / \ \\ \ \ \ \ \ \ 2 \ \ \ 3 Step 2: Write 24 as a product of its prime numbers. 24 = 2 × 2 × 2 × 3 = 2^3 × 3 The prime factorization of 24 is 2^3 × 3. 2.a Step 1: List the given fractions: (2)/(5), (6)/(10), (7)/(20), (1)/(2), (3)/(4). Step 2: Find the least common denominator (LCD) for all fractions. The denominators are 5, 10, 20, 2, 4. The LCD is 20. Step 3: Convert each fraction to an equivalent fraction with a denominator of 20. (2)/(5) = (2 × 4)/(5 × 4) = (8)/(20) (6)/(10) = (6 × 2)/(10 × 2) = (12)/(20) (7)/(20) = (7)/(20) (1)/(2) = (1 × 10)/(2 × 10) = (10)/(20) (3)/(4) = (3 × 5)/(4 × 5) = (15)/(20) Step 4: Arrange the fractions in ascending order by comparing their numerators: 7, 8, 10, 12, 15. (7)/(20), (8)/(20), (10)/(20), (12)/(20), (15)/(20) Step 5: Write the original fractions in ascending order. (7)/(20), (2)/(5), (1)/(2), (6)/(10), (3)/(4) Send me the next one 📸