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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Here are the solutions to the math problems: Question 4: Work out 48 × 5. Step 1: Multiply the numbers. 48 × 5 Step 2: Calculate the product. 48 × 5 = 240 The product is 240. Question 5: Subtract 4(3)/(5) - 2(1)/(3). Step 1: Convert the mixed numbers to improper fractions. 4(3)/(5) = ((4 × 5) + 3)/(5) = (23)/(5) 2(1)/(3) = ((2 × 3) + 1)/(3) = (7)/(3) Step 2: Find a common denominator for the fractions. The least common multiple of 5 and 3 is 15. (23)/(5) = (23 × 3)/(5 × 3) = (69)/(15) (7)/(3) = (7 × 5)/(3 × 5) = (35)/(15) Step 3: Subtract the fractions. (69)/(15) - (35)/(15) = (69 - 35)/(15) = (34)/(15) Step 4: Convert the improper fraction back to a mixed number. (34)/(15) = 2(4)/(15) The difference is 2(4)/(15). Question 6: If 🍍 represents 12 pineapples, how many pineapples are represented by 🍍🍍🍍🍍🍍🍍🍍? Step 1: Count the number of pineapple symbols. There are 7 pineapple symbols. Step 2: Multiply the number of symbols by the value each symbol represents. 7 × 12 = 84 There are 84 pineapples. Question 7: Work out the least common multiple (LCM) of 8, 9 and 12. Step 1: Find the prime factorization of each number. 8 = 2 × 2 × 2 = 2^3 9 = 3 × 3 = 3^2 12 = 2 × 2 × 3 = 2^2 × 3^1 Step 2: Identify all unique prime factors and their highest powers. The highest power of 2 is 2^3. The highest power of 3 is 3^2. Step 3: Multiply these highest powers together to find the LCM. LCM = 2^3 × 3^2 = 8 × 9 = 72 The LCM is 72. The question "Find n(A) if A = month of the year which beings with letters" is incomplete as the specific letter(s) are missing. The question "Use a pair of compasses and a ruler" is also incomplete as it does not specify what to construct. Send me the next one 📸