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
Here are the solutions to the questions: 1. Evaluate: 4 × 24 ÷ 6 + 4 - 2 Step 1: Perform multiplication and division from left to right. 4 × 24 = 96 96 ÷ 6 = 16 The expression becomes: 16 + 4 - 2 Step 2: Perform addition and subtraction from left to right. 16 + 4 = 20 20 - 2 = 18 The final answer is: 18 2. If 630 sweets were distributed among Lekan, Sulu and Kola in the ratio of 2:3:4. How Many sweets does Kola gets? Step 1: Find the total number of ratio parts. Total ratio parts = 2 + 3 + 4 = 9 Step 2: Determine the value of one ratio part. Value per part = Total sweetsTotal ratio parts = (630)/(9) = 70 sweets/part Step 3: Calculate the number of sweets Kola gets. Kola's share is 4 parts. Kola's sweets = 4 × 70 = 280 sweets Kola gets: 280 sweets 3. Find the product of 294 and 105 Step 1: Multiply the two numbers. 294 × 105 Step 2: Perform the multiplication. 294 × 100 = 29400 294 × 5 = 1470 29400 + 1470 = 30870 The product is: 30870 4. Find the average of the following numbers 10.5, 2.2, 6.1, 8.0, 5.7 Step 1: Sum all the numbers. Sum = 10.5 + 2.2 + 6.1 + 8.0 + 5.7 = 32.5 Step 2: Count the number of values. There are 5 numbers. Step 3: Divide the sum by the count of numbers to find the average. Average = SumCount = (32.5)/(5) = 6.5 The average is: 6.5 5. Find the HCF of 26, 65 and 91 Step 1: Find the prime factors of each number. 26 = 2 × 13 65 = 5 × 13 91 = 7 × 13 Step 2: Identify the common prime factors. The only common prime factor among 26, 65, and 91 is 13. The HCF is: 13 Drop the next question!