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: 2.2 Your answer: LCM = -25, 960 ❌ Incorrect. The LCM cannot be negative. Step 1: Find the prime factorization of each number. 40 = 2^3 × 5 120 = 2^3 × 3 × 5 200 = 2^3 × 5^2 Step 2: Identify the highest power of each prime factor present in any of the factorizations. The prime factors are 2, 3, and 5. Highest power of 2: 2^3 Highest power of 3: 3^1 Highest power of 5: 5^2 Step 3: Multiply these highest powers together to find the LCM. LCM = 2^3 × 3^1 × 5^2 = 8 × 3 × 25 LCM = 24 × 25 LCM = 600 The LCM of 40, 120, and 200 is 600. 2.3 Your work: "80000-5x15" and "7498923" ❌ Incorrect. This is a compound interest problem, not simple interest or a subtraction. Step 1: Identify the principal amount (P), interest rate (r), and number of years (n). P = R 80\,000 r = 15\% = 0.15 n = 5 years Step 2: Use the compound interest formula A = P(1 + r)^n. A = 80000(1 + 0.15)^5 A = 80000(1.15)^5 Step 3: Calculate the value of (1.15)^5. (1.15)^5 ≈ 2.011357 Step 4: Multiply by the principal amount. A = 80000 × 2.011357 A ≈ 160908.56 Nyeleti will owe approximately R 160\,908.56 in 5 years' time. QUESTION 3 [INTEGERS] 3.1 Your answer: 9 Step 1: Calculate the powers and the square root. 2^3 = 8 2^2 = 4 sqrt(9) = 3 Step 2: Substitute these values back into the expression and perform the operations. 8 + 4 - 3 12 - 3 9 ✅ Correct. The value is 9. 3.2 Your answer: -26 ❌ Incorrect. Step 1: Perform the operation inside the parentheses. (-8 - 2) = -10 Step 2: Perform the multiplication. 3(-7) = -21 Step 3: Substitute these values back into the expression and perform the additions/subtractions from left to right. 11 + (-10) + (-21) 11 - 10 - 21 1 - 21 -20 The value is -20. 3.3 Your work: "37 - 10 - 64 = -37" ❌ Incorrect. You removed the square root signs. Step 1: Calculate the value inside the first square root. sqrt(37 - 10) = sqrt(27) Step 2: Calculate the second square root. sqrt(64) = 8 Step 3: Substitute these values back into the expression. sqrt(27) - 8 This can also be written as 3sqrt(3) - 8. The value is sqrt(27) - 8 or approximately -2.80. Send me the next one 📸