Answer:
11880 different slates of candidates are possible.
Step-by-step explanation:
The order is important in this problem.
That is, John, Elisa, Laura and Rose means that John is the chairperson, Elisa the first vice chairperson, Laura the second vice chairperson and Rose the secretary. If we exchange John and Elisa, for example, it means that their roles also have changed.
So we use the permutations formula to solve this problem.
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different slates of candidates are possible?
Four roles in a set of 12 members. So
11880 different slates of candidates are possible.
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:
y=x-3
(x+5) / (y+5)=5/6
we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20
y=x-3=-20-3=-23
Teh sum of the numerator an denominator=-20+(-23)=-43
Answer: -43
Answer:
x = -7
Step-by-step explanation:
This is an exponential equation.
We need to take log(or ln) of both sides and use logarithm property to solve this.
So, let's take ln of both sides, so we have:
Now, we will use this property shown below to further simplify:
So, we now have:
The value of x is -7
Answer:
A. 14:8 or 7:4
B. 14:6 or 7:3
C. 6:8 or 3:4
D. 6:28 or 3:14
Step-by-step explanation:
All you have to do is put the numbers in order and sometimes you can simplify it. It's pretty self-explanatory.
Hope this helps :)
Answer: 875
Step-by-step explanation:
