A.) 5/3
B.) 6
C.) undefined
D.) zero slope
Total number of members = 12
Members to choose at a time = 2
This is a combination problem and we are to find the combination of 12 objects taken 2 at a time i.e. we are to find 12C2
12C2 = 66
So, there are 66 ways of selecting a president and vice president.
Therefore, the correct answer is option D
Answer:
There were 3 adults
Step-by-step explanation:
Step 1: Derive the first expression
a+c=10...equation 1
where;
a=number of adults
c=number of children
And total number of people=10
Step 2: Derive the second expression;
Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)
where;
Total cost of tickets=$186.50
price per child ticket=$15.95
price per adult ticket=$24.95
number of children=c
number of adults=a
replacing;
(15.95×c)+(24.95×a)=186.5
24.95 a+15.95 c=186.5....equation 2
Step 3: Combine equation 1 and 2 and solve simultaneously
24.95 a+15.95 c=186.5
-
24.95(a+c=10)
(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)
-9 c=-63
c=-63/-9
c=7
replace the value for c in equation 1
a+c=10
a+7=10
a=10-7
a=3
There were 3 adults
Sub tract the 3m and you get 2n=8-3m then divide by 2 and you get n=8/2 - 3m/2 and that can be reduced to n= 4 - 3m/2