Two puppies eat 2 cans of dog food in 2 days. How many cans of dog food can 8 puppies eat in 8 days? Note: All puppies eat at th
1 answer:
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Answer: The maximum number of people who could answer yes for both cat and dog is 7.
Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.
Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.
We are to find the maximum number of people that could answer yes for both cat and dog.
Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.
Then, according to the given information, we have
From Set Theory, we have
Since the total number of people is 100, so we get
Therefore, from equation (i), we get
Thus, the maximum number of people who could answer yes for both cat and dog is 7.
<u>Answer:</u>
<u>For 1:</u> The first term is 10 and the common difference is
<u>For 2:</u> The value of n is 27
<u>Step-by-step explanation:</u>
The n-th term of the progression is given as:
where,
is the first term, n is the number of terms and d is the common difference
The sum of n-th terms of the progression is given as:
where,
is the sum of nth terms
- <u>For (1):</u>
The 11th term of the progression:
.......(1)
Sum of first 4 numbers:
......(2)
Forming equations:
( × 8)
The equations become:
Solving above equations, we get:
Putting value in equation (1):
Hence, the first term is 10 and the common difference is
- <u>For 2:</u>
The nth term is given as:
Solving the above equation:
Hence, the value of n is 27