For a us census clock based on the 2000 census, the birth light would flash every 10 seconds, the death light every 16 seconds, the immigration light every 81 seconds, and the emigration light every 900 seconds, to indicate gains and losses in population.

a. if the birth and death lights flashed at the same time, how many seconds would pass before they flashed together again?

show work

80

Step-by-step explanation:

Let's pretend we start a stopwatch when the birth and death light flash together.  The birth light will flash at 10 seconds, 20 seconds, 30 seconds, etc.  The death light will flash at 16 seconds, 32 seconds, 48 seconds, etc.

So the trick here is to find the least common multiple (LCM) of 10 and 16.  To do that, we write the prime factorization of each:

10 = 2×5

16 = 2⁴

The LCM must include all these prime factors without any duplicates.  So the LCM = 2⁴×5 = 80.  We can check our answer by dividing:

80 / 10 = 8

80 / 16 = 5

So 80 is indeed a multiple of both 10 and 16.

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

step-by-step explanation:

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