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
Convert the timing into hours only:
11:15 = 11.25h
9:45 = 9.75h
11:45 = 11.75h
7:45 = 7.75h
10:45 = 10.75h
To find the average, we need to find the middle of these timing:
11.25 + 9.75 + 11.75 + 7.75 + 10.75 = 51.25
51.25 ÷ 5 = 10.25h = 10:15 am
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Answer: The average time it docks is 10:15 am.
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Answer:
PE = 83 and Science = 71
Step-by-step explanation:
let P represent PE and S represent Science with P > S, then
P + S = 154 → (1)
P - S = 12 → (2)
Adding the 2 equations term by term eliminates S
2P = 166 ( divide both sides by 2 )
P = 83
Substitute P = 83 into (1)
83 + S = 154 ( subtract 83 from both sides )
S = 71
Hence PE mark = 83 and Science mark = 71
2(m-27n) this is the answer
Answer:
Answer in decimal is 5.6 or 56/100 as a fraction
Answer in decimal is 0.66666666666 or 2/3 as a fraction
Step-by-step explanation:
Just either add or subtract the fractions, whichever one you have to do.
Hope this helps, have a good day. c;
