A professor wants to divide the remaining 3/4 of the semester evenly into six different units. What fraction of the semester should be spent on each unit?

Each of these courses will take up 1/8 of the total semester.

Step-by-step explanation:

From the question, we can see that the semester is remaining 3/4 of the total duration.

we will be sharing that 3/4 into 6 places for each course. Next, we will be relating this to the total time we had for the whole semester initially.

3/4 divided by 6 = 1/8

From this, we can see that each of these  courses will take up 1/8 of the total semester.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.