Answer:
- 1) 120 seconds
- 2) 180 seconds
Step-by-step explanation:
<u>First light</u>
Shines 3 seconds first time plus after 6 seconds, the pattern is:
Off 6 seconds first time plus after 6 seconds, the pattern is:
<u>Second light</u>
Shines 4 seconds first time plus after 8 seconds, the pattern is:
Off 8 seconds first time plus after 8 seconds, the pattern is:
<u>Third light</u>
Shines 5 seconds first time plus after 10 seconds, the pattern is:
Off 10 seconds first time plus after 10 seconds, the pattern is:
1) <u>All lights will be off after:</u>
- LCM(6x, 8x, 10x) = 2*3*4*5x
- x = 1 ⇒ 120*1 = 120 seconds, next time
2) <u>All lights will come on after:</u>
- LCM(3 + 6x, 4 + 8x, 5 + 10x) = LCM(3(1+2x), 4(1+2x), 5(1 + 2x)) = 60(1 + 2x)
- x = 1 ⇒ 60(1 + 2) = 180 seconds, first time
Answer:
90 between 1000 and 9999
Step-by-step explanation:
The first digit cannot be 0. It can be nine other digits.
The second digit can be anything between 0 and 9.
To be palindromic the 2nd and 3rd digits must be the same.
And in addition, the 1st and 4 numbers must be the same.
So the answer is 9 * 10 = 90. That does seem too small, but try making a palindrome with the restrictions I have outlined. None of the examples you have given beginning with 8 are palindromic.
8118 is palindromic
8998 is also palindromic
9009 is palindromic
2002 is palindromic
There are only 90 of them.
Answer:
Circumference
Step-by-step explanation:
Hope I helped :)
Answer:
Answer is D.
Step-by-step explanation: