I suspect you meant
"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"
• Count the multiples of 10:
⌊100/10⌋ = ⌊10⌋ = 10
• Count the multiples of 7:
⌊100/7⌋ ≈ ⌊14.2857⌋ = 14
• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and
⌊100/70⌋ ≈ ⌊1.42857⌋ = 1
(where ⌊<em>x</em>⌋ denotes the "floor" of <em>x</em>, meaning the largest integer that is smaller than <em>x</em>)
Then using the inclusion/exclusion principle, there are
10 + 14 - 1 = 23
numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.
Answer:
10. Altitude
11. Angle Bisector
12. Perpendicular Bisector
13. Median
Step-by-step explanation:
hope it helps
B = amount of students who chose Bulldog
n = amount of students who chose lion
t = amount of students who chose tiger
so.. "t" chose tiger, ok
"<span>Four times as many students chose Bulldog as chose Tiger"
namely, if "t" chose tiger, then 4 times that many chose Bulldog, thus
b = 4t"</span><span>Twice as many students chose Lion as chose Tiger"
namely, if "t" students chose tiger, twice as many chose lion
n = 2tnow, we know a total of 273 students were surveyed, thus
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