Answer: it will take 41 nights for the points he earns with either hotel to be the same.
Step-by-step explanation:
Let x represent the number of nights that it will take for the points he earns with either hotel will be the same.
Hotel Elegance is currently offering 525 points for signing up, plus 35 points for every night Alec books at the hotel. This means that the number of points that Alec will get of he spends x nights at the hotel is
35x + 525
Alternatively, Hotel Paradiso is offering a sign-up bonus of 402 points, plus 38 points per night. This means that the number of points that Alec will get of he spends x nights at the hotel is
38x + 402
For the points to be the same at either hotels, the number of nights would be
35x + 525 = 38x + 402
38x - 35x = 525 - 402
3x = 123
x = 123/3 = 41
One way to do this is to consider what the average of these integers is. It would be 519/6, or 86.5. This means the six integers are "centered" around 86.5: they would be 84, 85, 86, 87, 88, and 89 (there are three numbers greater than 86.5 and three less than 86.5 in this list).
I might be incorrect. Buttt I believe this might be the answer.
The way is write it is
Minute hand length ~ 36•1.5= 54
In 45 minutes the minute hand with be at the 8 hour marker
The whole clock is equal to 360° so each hour is represented by 30°. I found that by dividing 360 by 12. (Due to how many hours are on the clock)
There is 9hour markers between 11 and 8.
So there’s a 270° distance between the minute hand and 45 minutes.
I found this by timing 9 by 30
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
