Step-by-step explanation:
The photo above is the Venn diagram
Now, the number of persons that are both managers and engineers= n
Since, Total number of persons is 50
Therefore, 50= M+n+E
M only = 36-n
E only = 24-n
Therefore, 50= 36 - n + n + 24 - n
50 = 36+24-n
50 = 60 - n
60 - n = 50
-n = 50 - 60
-n = - 10
Therefore, n = 10
Therefore, the number of persons that are both Managers and Engineers is 10persons.
Answer: It is a perfect square root! Because 23 is the square root of 529!
Hope this it what you were wanting!
Good luck! ;)
Answer:
Step-by-step explanation:
let the speed of one plane=x mph
speed of other plane=x+120 mph
x×1.5+(x+120)×1.5=1620
(x+x+120)×1.5=1620
(2x+120)×1.5=1620
3x+180=1620
3x=1620-180
3x=1440
x=480
speed of one plane=480 mph
speed of second plane=480+120=600 mph
F(1) = (1)^2 + 1 = 2
g(4) = 3*4+1 = 13
2f(1) + 3g(4) = 2*2 + 3*13 = 43
I'm guessing the repeating part is 89 at the end, so that
Then
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An arguably quicker way without using geometric series: