Answer:
The coach can do this in 3,003 ways
Step-by-step explanation:
Here, the coach needs to select a team of 5 from a total of 15 players
Mathematically, the number of ways this can be done is simply 15 C5 ways
Generally, if we are to select a number of r items from n items, this can be done in nCr ways = n!/(n-r)!r!
Applying this to the situation on ground, we have;
15C5 = 15!/(15-5)!5! = 15!/10!5! = 3,003 ways
D is the answer
(4+8)+1 = 13
4+(8+1) = 13
Therefore equation D is true
Answer:
10 points
Step-by-step explanation:
Points scored in each of the first 3 quarter = x
Total points scored in the first 3 quarter = x + x + x
= 3x
Points scored in the fourth quarter = 14
Total points scored = 44 point
Total points scored = Total points scored in the first 3 quarter + Points scored in the fourth quarter
44 = 3x + 14
Subtract 14 from both sides
44 = 3x + 14
44 - 14 = 3x + 14 - 14
30 = 3x
Divide both sides by 3
x = 30/3
= 10
x = 10 points
Points scored in each of the first 3 quarter = x = 10 points
The school football team scored 10 points points in the first quarter
Answer:
They are taking 12 2 credit courses
The are taking 4 1 credit courses
Step-by-step explanation:
x = 1 credit courses
y = 2 credit courses
The number of courses is 16
x+y = 16
The number of credits is 28 so multiply the course by the number of credits
1x+2y=28
Subtract the first equation from the second equation
x+2y =28
-x-y=-16
-----------------
y = 12
They are taking 12 2 credit courses
We still need to find the 1 credit courses
x+y = 16
x+12= 16
Subtract 12 from each side
x-12-12 = 16-12
x =4
The are taking 4 1 credit courses
