Rewrite (123 + 456) + 789 using the Associative Law of Addition
1 answer:
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In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?
Answer:
325,452 meteors
Step-by-step explanation:
We all know that :
We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes
SO, the total number of minutes in a year is :
365 × 24 × 60 = 525600 minutes
For Perseid meteor:
So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :
1 meteor - 1.2 minutes.
x meteor - 525600 minutes.
1.2x = 525600
x = 438000
∴ 438,000 meteors fell during the Perseid shower.
For Leonid meteor shower:
So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
x = 112548
112,548 meteors fell during the Leonid Shower.
Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower
Answer:
360
Step-by-step explanation:
The given digits are 1,2,3,4,5,6.
So, total number of digits = 6.
We need to find the number of different ways to form four-digit numbers using the digits, without repetition.
Total ways for first place = 6
After selecting 1 digit the number of remaining digits is 5. So,
Total ways for second place = 5
Similarly,
Total ways for third place = 4
Total ways for forth place = 3
Total number of ways =
Therefore, 360 four digit numbers are possible.