Answer:
Step-by-step explanation:
Let x be the "number."
"twice the difference of a number and 16" can be written as:
2(x-16)
"is the same as three times a number less than 18" can be written as:
= 3(x<18)
I wonder if this was meant to say "is the same as three times a number less 18," instead of "less than 18." If so, we would have:
=3(x-18)
1. Using the sentence as written: 2(x-16) = 3(x<18)
2. Using the sentence as amended: 2(x-16) = =3(x-18)
Going with this interpretation:
2(x-16) = 3(x-18)
2x - 32 = 3x - 54
x = 22
Answer:
Step-by-step explanation:
Given that:
Since the given function is equal to zero, then the function :
where;
and
Thus; f(1) < 0 and f(2) > 0
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
