Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-
Then, the number of different ways they place first, second, and third :_
Hence, they can place first, second, and third in 120 different ways .
Answer:
4.71cm
Step-by-step explanation:
Answer:
b=-7
Step-by-step explanation:
Simplifying
99 = 2(-7b + -3) + 7
Reorder the terms:
99 = 2(-3 + -7b) + 7
99 = (-3 * 2 + -7b * 2) + 7
99 = (-6 + -14b) + 7
Reorder the terms:
99 = -6 + 7 + -14b
Combine like terms: -6 + 7 = 1
99 = 1 + -14b
Solving
99 = 1 + -14b
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '14b' to each side of the equation.
99 + 14b = 1 + -14b + 14b
Combine like terms: -14b + 14b = 0
99 + 14b = 1 + 0
99 + 14b = 1
Add '-99' to each side of the equation.
99 + -99 + 14b = 1 + -99
Combine like terms: 99 + -99 = 0
0 + 14b = 1 + -99
14b = 1 + -99
Combine like terms: 1 + -99 = -98
14b = -98
Divide each side by '14'.
b = -7
Simplifying
b = -7
Answer:
-163840
Step-by-step explanation:
Answer:
11.25 minutes
Step-by-step explanation:
The capacity of the swimming pool is 105 gallons of water.
There are currently 15 gallons of water
∴I need to fill (105-15) = 90 gallons of water
Now,
8 gallons of water are filled within 1 minute
∴1 gallon of water will be filled within = 1/8 minute
∴90 gallons of water will be filled within = 90/8 minutes
=11.25 minutes
