we have to first convert fraction of hours into minutes
1 hour is equivalent to 60 minutes
then 3/4 hour is - 3/4 of 60
when the of function is used we have to multiply the 2 numbers
then 
3/4 of an hour is equivalent to 45 minutes
then we have to add 5 hours and 45 minutes to 11.32 pm
add 5.45 to 11.32
11.32
5.45 +
-------
16.77
then its 16 hours and 77 minutes
an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours
16 hours + 1 = 17 hours
77 minutes - 60 minutes = 17 minutes
17 hours 17 minutes
time is given in pm therefore its a 12 hour clock
so we have to subtract 12 hours from 17 hours 17 minutes
17.17 hours - 12 hours = 5.17
the new time is 5.17 am of the next day
(57-32)➗5.5 =x
The problem is just flipped.
Find 2 points on the line:
We will use (2,2) and (0,-6)
Find the slope of the line which is the change in Y over the change in X:
(-6-2) / (0-2) = -8/-2 = 4
The slope = 4
Find the Y intercept:
y = 4x+b
use y1 for y and x1 for x
2 = 4(2) +b
2 = 8 +b
Subtract 8 from both side:
b = -6
Now you have the slope (4) and Y intercept (-6)
The equation of the line becomes y = 4X-6
The line is solid and the shaded portion of the graph is to the left of the line and it is a positive slope so the inequality would become
y ≥ 4x -6
Answer:
The mean score for all students on the quiz was 86.
Step-by-step explanation:
This question is solved by a weighed average.
To find the weighed average, we add the values multiplied by their weight, and after that we divide by the sum of weights.
In this problem, we have that:
Mr. Spears had 20 students in his class with a mean score of 80.
So 80 has a weight of 20.
Mrs. Guyton's class of 30 students had a mean score of 90.
So 90 has a weight of 30.
Overall, what was the mean score for all students on the quiz
The mean score for all students on the quiz was 86.
