My clock chimes two times 15 minutes after the hour, four times 30 minutes after the hour and six times 45 minutes after the hour. The clock also chimes eight times on each hour in addition to chiming the number of times equal to the hour. (So at 2:00 p.m., the clock chimes 8 + 2 = 10 times.) Starting at 12:05 a.m., how many times does the clock chime in a 24-hour period?
Answers
Answer:
132 chimes!
Step-by-step explanation:
20 per hour plus number of hour
the formula is...
2 + 4 + 6 + 8 + x
6+6+8+x
12+8+x
20+x
two chimes at 15 min, four at 30 min, six at 45 min, and eight at the start of the hour plus the number of chimes equal to the hour.
SO, in each hour, there are 20 chimes plus whatever the hour is.
(ex. 2:00= 20 chimes plus two)
20+x chimes multiplied by 24 hours is 480 + x. so it is 480 plus... the x
x equals...
one am=1
two am=2
three am=3
four am=4
five am=5
six am=6
seven am=7
eight am=8
nine am=9
ten am=10
eleven am=11
twelve am=12
am=66
one pm=1
two pm=2
three pm=3
four pm=4
five pm=5
six pm=6
seven pm=7
eight pm=8
nine pm=9
ten pm=10
eleven pm=11
twelve pm=12
pm=66
add all those together to get... (66+66)
132!
hope this helped! :)
Given : clock chimes two times 15 minutes after the hour, four times 30 minutes after the hour and six times 45 minutes after the hour. The clock also chimes eight times on each hour in addition to chiming the number of times equal to the hour
To find : Starting at 12:05 a.m., how many times does the clock chime in a 24-hour period?
Solution:
chimes two times 15 mins after the hour,
four times 30 minutes after the hour
six times 45 minutes after the hour.
eight times on each hour
Total in 1 hr = 2 + 4 + 6 + 8 = 20 Times
Total in 24 hrs = 24 * 20 = 480
Now it chimes the number of times equal to the hour
So in 24 hrs
= 2 ( 1 + 2 + 3 + ...............................................................+ 12)
= 2 * 12 * 13 /2
= 156 times
Total = 480 + 156 = 636 times
clock chime 636 times in a 24-hour period
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