Answer:
The answer would the third option "Yes, because there is enough water in the cooler for about 81 cups total."
Step-by-step explanation:
As given by the question
There are given that the point of two-line

Now,
From the condition of a parallel and perpendicular line
If the slopes are equal then the lines are parallel
If the slopes are negative reciprocal then the lines are perpendicular
If the slopes are neither of the above are true then lines are neither
Then,
First, find the slope of both of line
So,
For first-line, from the formula of slope

Now,
For second-line,

The given result of the slope is negative reciprocal because

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.
5 to the fifth power or 3125
Answer:
The time at which the two trains will meet is 1 hour and 24 minutes
Step-by-step explanation:
The distances between the two trains = 196 miles
The direction of the two trains = Towards each other
The speed of one of the trains = 80 miles per hour
The speed of the other train = 60 miles per hour
Let 't' represent the time at which the two trains meet, we have;
80·t + 60·t = 196
∴ 140·t = 196
t = 196/140 = 7/5
The time at which the two trains will meet, t = 7/5 hours = 1.4 hours = 1 hour, 24 minutes.
<span>The factory makes shirts for 9 hours each workday. </span>