Answer:
1 hour and 45 mins
Step-by-step explanation:
As mentioned,
Starting time = 2:30 PM
Ending time = 4:15 PM
The given time is in hours and minutes, to calculate the duration of movie, time should be converted into a same unite minutes.
1 hour = 60 minutes
Therefore,
2:30 = 2 hours and 30 mins = 2*60 + 30 mins = 150 mins
4:15 = 4 hours and 15 mins = 4*60 + 15 mins = 255 mins
The duration = Ending time - Starting time
=> 255 - 150
=> 105 mins
or
60 + 45
1 hour and 45 mins
I'm going to suggest that we take these and "UN-simplify" them.
For each choice, divide the numerator by 3 and the denominator by 8.
Look at this:
A). 6/14
6 ÷ 3 = 2
14 ÷ 8 = 1.875 ===> 2/1.875 not interesting
B). skip B for just a second
C). 4/9
4 ÷ 3 = 1.33
9 ÷ 8 = 1.125 ===> 1.33/1.125 not interesting
D). 15/35
15 ÷ 3 = 5
35 ÷ 8 = 4.375 ===> 5/4.375 not interesting
But now look at choice-B:
B). 9/24
9 ÷ 3 = 3
24 ÷ 8 = 3 ===> 1/1 interesting !
-- To simplify 9/24, the top and bottom were divided by 3, giving 3/8.
-- To UN-simplify 3/8, the top and bottom were multiplied by 3, giving 9/24.
-- Choice-B is the one that's equivalent to 3/8.
______________________________________________
OK. All of that wasn't really necessary.
All you really need to do is take each choice and simplify it.
A). 6/14
Divide top and bottom by 2 ===> 3/7
B). 9/24
Divide top and bottom by 3 ===> 3/8
C). 4/9
Can't be simplified. Already in simplest form.
D). 15/35
Divide top and bottom by 5 ===> 3/7
Answer:
The equation for 3 cups equals 24 cookies is = 24 divided by 3 or 3 times 8, so that makes your awnser 12 times 3= 36 times 8 equals 288, so 288 cookies.
Step-by-step explanation:
Dozen-12
The curve hits the y-axis whenever

:

The area enclosed by the region is the sum of distances of every point on the curve where
![t\in[0,2]](https://tex.z-dn.net/?f=t%5Cin%5B0%2C2%5D)
to the origin. This is given by the integral




Since
![t\in[0,2]](https://tex.z-dn.net/?f=t%5Cin%5B0%2C2%5D)
, you have

and

, giving you