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RoseWind [281]
3 years ago
15

If the Math Olympiad Club consists of 15 students, how many different teams of 5 students can be formed for competitions?

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

  • 3003

Step-by-step explanation:

Teams of 5 from the total of 15 students.

<u>Combination of 5 is:</u>

  • nCr = n!/(n-r)!*r!
  • 15C5 = 15!/10!5! = 15*14*13*12*11/(2*3*4*5) = 3003 teams
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Carl ran around the track 3 more times than Daria and 2 fewer times than Erin. When they were done they added up the number of l
Paul [167]

Answer:

Total laps = 10d

Step-by-step explanation:

Let c = Carl's laps

d = Daria's laps

e = Erin's laps

c = 3d

c = e/2

c + d + e = totals laps

We can insert 3d in place of c in the third equation

3d + d + e = total laps

Also, e/2 equals 3d

e/2 = 3d

Multiply both sides by 2

(e/2 = 3d)2

e = 6d

Insert the new e

3d + d + 6d = 10d = totals laps

3 0
2 years ago
A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charge
kakasveta [241]

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29

5 0
2 years ago
You buy five books that are equal in
Georgia [21]

Answer:

5x+8=26.50

Step-by-step explanation:

Because the books are equal in price, we can use x to represent the price of the books and 5 to represent the amount, so it would be written as 5x. Then we add 8 because that's the price of the one DVD. It tells the total is 26.50, so the full equation written would be <u>5x+8=26.50</u>

4 0
3 years ago
Read 2 more answers
Question in photo—————————-
IgorC [24]

Answer:

Answer is -8.........bro

8 0
3 years ago
HELP ME PLZZZZZZZZZZ
Bas_tet [7]

Answer:

1. Angle Relationship: Alternate Exterior Angles

2. Angle Relationship: Same side Interior angles

3. Angle Relationship: Corresponding angles

Step-by-step explanation:

Alternate Exterior Angles are angles that are outside of the parallel lines and  are opposite of each other.

Same side Interior angles are angles that are inside the parallel lines and are on the same side of a transversal.

Corresponding angles are angles that are in the same matching corners.

Hope this helps! :)

8 0
3 years ago
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