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
Step 1: Evaluate the numerator. The numerator is 11.8 × 7^2 - 11.8 × 5^2. Factor out 11.8: 11.8 × (7^2 - 5^2) Calculate the squares: 7^2 = 49 5^2 = 25 Substitute these values back into the expression: 11.8 × (49 - 25) 11.8 × 24 To multiply 11.8 × 24: 11.8 × 24 = (10 + 1.8) × 24 = 10 × 24 + 1.8 × 24 = 240 + 43.2 = 283.2 So, the numerator is 283.2. Step 2: Evaluate the denominator. The denominator is -18 + 6 ÷ 3 × -3. Follow the order of operations (PEMDAS/BODMAS): First, division: 6 ÷ 3 = 2 Substitute this back: -18 + 2 × -3 Next, multiplication: 2 × -3 = -6 Substitute this back: -18 + (-6) -18 - 6 = -24 So, the denominator is -24. Step 3: Divide the numerator by the denominator. (283.2)/(-24) Divide 283.2 by 24: 283.2 ÷ 24 = 11.8 Since the denominator is negative, the result is negative: (283.2)/(-24) = -11.8 The evaluated expression is -11.8. That's 2 down. 3 left today — send the next one.