Final answer:
The answer to the first question is 0.25, and to the second question is 4x. For the first question, 0.2 and three tenths (0.3) are added to get 0.5, which is then divided by 2 to find the answer. In the second question, terms involving x are combined to find the solution.
Step-by-step explanation:
The student has asked two separate questions, both pertaining to arithmetic operations.
First Question
What is 0.2 added to three tenths and divided by 2?
To solve this, we first add 0.2 to three tenths (0.3).
0.2 + 0.3 = 0.5
Next, we divide this sum by 2:
0.5 ÷ 2 = 0.25
The answer is option (a) 0.25.
Second Question
What is the result of (3/4)x + 4x - 0.75x?
First, we must make sure all terms have the same denominator in order to combine them:
(3/4)x can be written as 0.75x.
Hence, we have:
0.75x + 4x - 0.75x
The 0.75x terms cancel each other out, leaving us with:
4x
The answer is option (b) 4x.