Hi :)
The mean is the average, and to take the average, they had to do this:
{students' minutes added together} ÷ 14 students = 133 minutes
This is basic pre-algebra; to find the total, we do the reverse of what they did. Since they divided by 14 to get 133, we're going to do the opposite. We're going to multiply 133 by 14 to get the total:
133 × 14 = 1862 minutes
Next question. The typical amount of time a student talked in a week was 133, and you're trying to find the typical amount of time in a day. There are 7 days in a week, so divide 133 by 7 to get the typical number of minutes in a day. (I won't do this for you-- you got this!)
Alright, so 19 students talked 171 minutes on average. Let's go back again and see what the total number of minutes were.
{total} ÷ 19 = 171
{total} = 171 × 19
{total} = 3249
But, hang on. They don't just want to know the total, they want to know the "mean number of minutes the additional five other students talked". That means we have to first subtract the 14 students' total from the 19 students' total to see what the difference is:
3249 - 1862 = 1387
So the five students added 1387 minutes to the average.
Divide 1387 by 5 to see the mean number of minutes per each of the five students.
You got this! Have fun!!
Answer:
165 square ft
Step-by-step explanation:
Answer:
Slope, m = 
.
Step-by-step explanation:
The slope of the line can be determined by simplifying the given equation to its standard form.
In the standard form, y = mx + c, m represents the slope of the line.
We are given: 
Comparing it with the standard equation, we can see that the slope, m = .
Hence, the answer.
Answer: 20 minutes.
Explanation:
Think of the water stream as being still (perhaps like a solid pavement), from the point of view of objects floating on the surface. (of course, from the POV of anyone standing on the banks, the water flows downstream). Think of the boat as a bike riding on the pavement. The boat just turned upstream and the hat fell into the water. In this POV, the hat lies on the surface and the boat/bike is riding away. For 20 minutes. Then (Katya realizes she lost the hat and turns back), the boat/bike needs exactly the same time, i.e., 20 minutes to come back to the hat, which rests at the same spot on the surface!
What makes the question initially confusing is the fact that the river flows with respect to the banks and one's mind is tempted to view the situation from there, which makes it much more complicated.
In physics this is referred to as choosing the suitable "frame of reference."
