Final answer:
To solve for x in the equation x/7.3 = 5 2/5, the mixed number is first converted to an improper fraction, and then both sides are multiplied by 7.3 to find x = 39.42.
Step-by-step explanation:
To solve for the variable and give the answer as a decimal when given the equation x/7.3 = 5 2/5, we first need to convert the mixed number to an improper fraction. 5 2/5 is equal to 27/5 as a fraction. We then multiply both sides of the equation by 7.3 to isolate x:
x = (27/5) × 7.3
x = (27 × 7.3) / 5
x = 197.1 / 5
x = 39.42
Therefore, the value of x to two decimal places is 39.42.