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
QUESTION ONE 1) Express: (x+1)/(3) - (2x+4)/(5) as a single fraction in its simplest form. Step 1: Find a common denominator, which is 3 × 5 = 15. (5(x+1))/(15) - (3(2x+4))/(15) Step 2: Combine the numerators over the common denominator. (5(x+1) - 3(2x+4))/(15) Step 3: Expand the terms in the numerator. (5x+5 - (6x+12))/(15) Step 4: Distribute the negative sign and simplify the numerator. (5x+5 - 6x - 12)/(15) (-x - 7)/(15) The simplified expression is (-x-7)/(15). 2) Calculate the value of 0.45 ÷ 0.005. Step 1: Convert the division to a fraction. (0.45)/(0.005) Step 2: Multiply the numerator and denominator by 1000 to remove the decimals. (0.45 × 1000)/(0.005 × 1000) = (450)/(5) Step 3: Perform the division. (450)/(5) = 90 The value is 90. 3) Make y the subject: p = (2y-c)/(m). Step 1: Multiply both sides by m. pm = 2y-c Step 2: Add c to both