Answer:
b. 56
Step-by-step explanation:
Please consider the complete question.
There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?
We will use combinations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario 
and 
.
Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.
Part A:
14/40=x/840
14*840=40x
11760=40x
294=x
x=294
194 are expected to eat the tomato soup
Part B:
find the average of 10,11, and 14
35/3=11.67
11.67/40=x/840
40x=11.67*840
9802.8=40x
x=245.07
245.07/840
0.29175*100 = 29.175
29.175%
It sounds like the problem should read:
"An exclusive club for top students has to elect a new president and treasurer. There are 50 students in the club, and all are eligible for election. No person can have two jobs. How many different choices of officers are possible if:"
But then it trails off. It seems incomplete. Please update the problem with any missing information and/or instructions. Thank you.
Answer:
The answer is y= -1/3x-5
Step-by-step explanation:
(9, -8) and (-6, -3)
m= y²-y¹/x²-x1
m= (-3)-(-8)/(-6)-9
m= 5/-15
m=-1/3
y=mx+b
y=-1/3x+b
-3=-1/3(-6)+b
-3=2+b
-2 -2
-5=b
The answer is y=-1/3x-5
Answer:
A the system has no solution
Step-by-step explanation:
Simplifying 2x + -5y = -8
Solving 2x + -5y = -8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5y' to each side of the equation. 2x + -5y + 5y = -8 + 5y
Combine like terms: -5y + 5y = 0 2x + 0 = -8 + 5y 2x = -8 + 5y
Divide each side by '2'. x = -4 + 2.5y Simplifying x = -4 + 2.5y
Solution for 2x-5=12 equation:
2x - 5 = 12
2x = 12 + 5
2x = 17 (divide both sides by 2 to get x)
2x/2 = 17/2
x = 8.5
