Simplify ((1)/(2) + 2(1)/(2)) - (5(1)/(2) - 1(1)/(2)) (b) Solve for n in the equation 2n2 = 4n. (c) Use logarithm tables to evaluate (734.6)/(56.4).

Here are the solutions to the problems. a) Simplify: (1(1)/(2) + 2(1)/(4)) - (5(1)/(2) - 1(1)/(4)) Step 1: Convert all mixed numbers to improper fractions. 1(1)/(2) = (3)/(2) 2(1)/(4) = (9)/(4) 5(1)/(2) = (11)/(2) 1(1)/(4) = (5)/(4) Step 2: Perform the addition inside the first parenthesis. ((3)/(2) + (9)/(4)) = ((6)/(4) + (9)/(4)) = (15)/(4) Step 3: Perform the subtraction inside the second parenthesis. ((11)/(2) - (5)/(4)) = ((22)/(4) - (5)/(4)) = (17)/(4) Step 4: Perform the final subtraction. (15)/(4) - (17)/(4) = -(2)/(4) Step 5: Simplify the fraction. -(2)/(4) = -(1)/(2) -(1)/(2) b) Solve for n in the equation 2n^2 = 4n. Step 1: Move all terms to one side to set the equation to zero. 2n^2 - 4n = 0 Step 2: Factor out the common term, 2n. 2n(n - 2) = 0 Step 3: Set each factor equal to zero and solve for n. 2n = 0 n = 0 n - 2 = 0 n = 2 n=0 or n=2 c) Use logarithm tables to evaluate: (734.6)/(56.4) Let X = (734.6)/(56.4). We will use the property ((a)/(b)) = a - b. Step 1: Find the logarithm of 734.6. The characteristic is 2 (since there are 3 digits before the decimal point, 3-1=2). Using logarithm tables, the mantissa for 734.6 is approximately 0.8660. So, (734.6) = 2.8660. Step 2: Find the logarithm of 56.4. The characteristic is 1 (since there are 2 digits before the decimal point, 2-1=1). Using logarithm tables, the mantissa for 56.4 is approximately 0.7513. So, (56.4) = 1.7513. Step 3: Subtract the logarithms. X = (734.6) - (56.4) X = 2.8660 - 1.7513 X = 1.1147 Step 4: Find the antilogarithm of 1.1147. The characteristic is 1, which means the number has 1+1=2 digits before the decimal point. Using antilogarithm tables, the antilog of the mantissa 0.1147 is approximately 1.302. Therefore, X = 13.02. 13.02 3 done, 2 left today. You're making progress.