What is the value of a? What is the value of b?

Here are the solutions for the questions in the image: 6. Simplify 2(1(1)/(2) + (1)/(4)) Step 1: Convert the mixed number to an improper fraction. 1(1)/(2) = (1 × 2 + 1)/(2) = (3)/(2) Step 2: Add the fractions inside the parenthesis. Find a common denominator, which is 4. (3)/(2) + (1)/(4) = (3 × 2)/(2 × 2) + (1)/(4) = (6)/(4) + (1)/(4) = (7)/(4) Step 3: Multiply the result by 2. 2 × (7)/(4) = (14)/(4) Step 4: Simplify the fraction. (14)/(4) = (7)/(2) The final answer is (7)/(2). 7. Remove the brackets: a - 2(b - 3c) Step 1: Distribute the -2 to each term inside the parenthesis. a - 2(b - 3c) = a - (2 × b) - (2 × -3c) Step 2: Perform the multiplication. = a - 2b - (-6c) Step 3: Simplify the expression. = a - 2b + 6c The correct option is c). The final answer is c) a - 2b + 6c. 8. The area of a square is 49 cm^2. Find the perimeter of the square. Step 1: Find the side length (s) of the square using the area formula (A = s^2). s^2 = 49 cm^2 s = sqrt(49) cm = 7 cm Step 2: Calculate the perimeter (P) of the square using the formula (P = 4s). P = 4 × 7 cm = 28 cm The correct option is c). The final answer is c) 28 cm. 9. Express (3)/(8) as a percentage. Step 1: Multiply the fraction by 100%. (3)/(8) × 100\% Step 2: Perform the multiplication. = (300)/(8)\% Step 3: Simplify the fraction. = (75)/(2)\% = 37.5\% The correct option is d). The final answer is d) 37(1)/(2)\%. 10. Use the mapping below to answer the question 10 and 11. 2^0 a. What is the value of a? Step 1: Evaluate the expression 2^0. Any non-zero number raised to the power of 0 is 1. 2^0 = 1 Step 2: From the mapping, 2^0 = a. Therefore, a = 1. The final answer is 1. 11. What is the value of b? From the mapping: 2^-2 b. Step 1: Evaluate the expression 2^-2. Use the rule x^-n = (1)/(x^n). 2^-2 = (1)/(2^2) Step 2: Calculate the value. = (1)/(4) Step 3: From the mapping, 2^-2 = b. Therefore, b = (1)/(4). The final answer is (1)/(4). 3 done, 2 left today. You're making progress.