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 problems: --- Problem 6: Step 1: Distribute the 5 into the parenthesis. 5(y-2) - 2y = 5y - 5 × 2 - 2y 5y - 10 - 2y Step 2: Combine the like terms (5y and -2y). (5y - 2y) - 10 = 3y - 10 The final answer is 3y - 10. --- Problem 7: Step 1: Identify the integers marked on the number line. The number line shows integers from -5 to 4. The integers are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4. --- Problem 8: Step 1: Find the Least Common Multiple (LCM) of the numerical coefficients: 4, 8, and 6. Prime factorization: 4 = 2^2 8 = 2^3 6 = 2 × 3 The LCM of (4, 8, 6) is 2^3 × 3 = 8 × 3 = 24. Step 2: Find the LCM of the variable parts: x, xy, and xyz. The highest power of x is x^1. The highest power of y is y^1. The highest power of z is z^1. The LCM of the variables is xyz. Step 3: Combine the numerical LCM and the variable LCM. The LCM of 4x, 8xy, and 6xyz is 24xyz. The final answer is 24xyz. --- Problem 9: Step 1: Subtract 1 from both sides of the equation. (a)/(3) + 1 = 3 (a)/(3) = 3 - 1 (a)/(3) = 2 Step 2: Multiply both sides by 3 to solve for a. a = 2 × 3 a = 6 The final answer is 6. That's 2 down. 3 left today — send the next one.