Answer: The required time needed to deliver 72 papers is 2 hours 24 minutes.
Step-by-step explanation: Given that 9 papers are delivered in 18 minutes.
We are to determine the time needed to deliver 72 papers.
We will be using the UNITARY method to solve the problem.
We have
Time needed to deliver 9 papers = 18 minutes.
So, time needed to deliver 1 minute will be
Therefore, time needed to deliver 72 papers is given by
Thus, the required time needed to deliver 72 papers is 2 hours 24 minutes.
Answer:
4 cats : 5 dogs is your answer
Step-by-step explanation:
Divide common factors from both ratios. Find the factors:
12: 1, 2, 3, 4, 6
15: 1, 3, 5, 15
The greatest common factor is 3 (as they are factors for both). Divide 3 from both numbers:
12:15
(12)/3 : (15)/3
4:5
4 cats : 5 dogs is your answer
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Answer:
Number of people chosen in the sixth round is 729
Step-by-step explanation:
Given : For a game - 3 people are chosen in first round then each of three chooses 3 people in the second round ans so on.
To find : How many are chosen the sixth round.
Solution : We know,
In first round 3 people choose ⇒no. of people =3
In second round 3 people individually choose 3 people ⇒no. of people = 9
since the number of people chosen with a constant amount forming a geometric series
Geometric series - A sequence of numbers where each term after the first is found by multiplying the previous one by a fixed also called as common ratio.
General form:
and n-th term of geometric series is
where a - first term , r- common ratio and n-number of term
For the sixth round - a=3, r=3 , n=6
Therefore, number of people chosen in the sixth round is 729
Answer:
(-∞, ∞)
Step-by-step explanation:
As you can see for each value of x , f(x) is defined
example , for x = -8000 , f(x) is defined to be -7999.
for x = 0 , f(x) is defined to be 1.
for x = 8000 , f(x) is defined to be 8001.
Also,
By its graph , Which is a straight line , So, it is defined everywhere
Thus,
its domain is(-∞, ∞)