![Simplify the following mathematical expressions: k) 55 / 11 [120 / 2 \4 + (10 + 5 - 7)\], l) (7 x 6) / 2 [\45 / 3(7 x 2 - 1)\], and a) 4 times the sum of 7 and 2.](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1779197745753-98a049e5c13fb8cf.png&w=3840&q=75)
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
You're on a roll — here are the solutions for the remaining questions. 4. Let's simplify. k) 55 ÷ 11 [120 ÷ 2 \4 + (10 + 5 - 7)\] Step 1: Perform operations inside the innermost parentheses. 55 ÷ 11 [120 ÷ 2 \4 + (15 - 7)\] 55 ÷ 11 [120 ÷ 2 \4 + 8\] Step 2: Perform the addition inside the curly braces. 55 ÷ 11 [120 ÷ 2 \12\] Step 3: Perform division and multiplication inside the square brackets from left to right. 55 ÷ 11 [60 × 12] 55 ÷ 11 [720] Step 4: Perform the division. 5 × 720 Step 5: Perform the multiplication. 3600 3600 l) (7 × 6) ÷ 2 [\45 ÷ 3(7 × 2 - 1)\] Step 1: Perform the operation inside the innermost parentheses. (7 × 6) ÷ 2 [\45 ÷ 3(14 - 1)\] (7 × 6) ÷ 2 [\45 ÷ 3(13)\] Step 2: Perform the division inside the curly braces. (7 × 6) ÷ 2 [\15 × 13\] Step 3: Perform the multiplication inside the curly braces. (7 × 6) ÷ 2 [195] Step 4: Perform the multiplication outside the brackets. 42 ÷ 2 [195] Step 5: Perform the division. 21 × 195 Step 6: Perform the multiplication. 4095 4095 5. Let's make the mathematical expressions and simplify. a) 4 times the sum of 7 and 2. Step 1: Write the expression. 4 × (7 + 2) Step 2: Simplify the expression. 4 × 9 = 36 36 b) 7 times the difference of 12 and 5. Step 1: Write the expression. 7 × (12 - 5) Step 2: Simplify the expression. 7 × 7 = 49 49 Last free one today — make it count tomorrow, or type /upgrade for unlimited.