Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-
Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-
Hence, the committee can be made in 142506 ways.
Answer:
41.86 miles each hour
Step-by-step explanation:
Kelli and her family went to the beach for a vacation. They drove 293 miles in 7 hours to get there. ABOUT how many miles did they drive each hour?
This Question is calculated as:
7 hours = 293 miles
1 hour = x miles
Cross Multiply
7 hours × x = 1 × 293 miles
x = 293 miles/7 hours
x = 41.857142857 miles per hour
x ≈ 41.86 miles per hour
Hence, they drove 41.86 miles each hour
Given:
Let's evaluate and find the quotient.
We have:
SInce it is not a repeating decimal, we are asked to leave to answer as it is.
A repeating decimal is a decimal with digits or group of digits that repeats endlessly.
The decimal 5.937
ANSWER:
5.9375
Answer:
initial population: 35.156, after five hours: 36893737.86
Step-by-step explanation:
(the rounding is strange, It's unclear how this question is to be rounded)
Let a, b, and c be the times each pump will fill the tank when working alone.
Therefore, in 1 hour;
1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)
From equation (1)
1/a = 5/6-1/b
Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)
Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2
This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).
Therefore, it will take 1 hour to fill the tank when all pumps are working together.
