1) The number times a dog barks is dependent on the number of passing cars. How many cars have passed when a dog barks 34 times? If 20 cars pass, how many times will the dog bark? Explain how you got to your answers?
2) The fourth term of a sequence is 4 and the 6th term is 6. Every term after the second is the sum of the two preceding terms. What is the 8th term?
-thx for any HELP =)
p.s.- u don't have to answer all of them =)
I think it is 14,because I think you have to subtract 34-20=14
the answer to question 1 is 680 times with 20 time a car passes all i did is mulipled 34 times 20.
Sorry not able to help with the 2 nd question.
Good luck i hoped i helped
THX!! and i just got the second one... it was right in front of me...LOL
I hope you got 18 for term 8
39,40,36,37,33,34
1) To determine the number of cars that have passed when a dog barks a certain number of times, we need to relate the number of barks to the number of cars passing. In this scenario, the number of barks is dependent on the number of passing cars.
Let's assume there is a linear relationship between the number of cars passing and the number of barks. We can express this relationship using an equation: Number of Barks = M * Number of Cars + B, where M represents the slope (how many barks per car), and B represents the y-intercept (the initial number of barks when no cars have passed).
In this case, we are given that the dog barks 34 times. We don't have enough information to determine the values of M and B from the given information, so we can't calculate the exact number of cars that have passed. However, we can still reason through the problem.
If, for example, the dog barks twice for every car that passes (M = 2), and the dog has already barked 34 times, we can estimate that approximately 17 cars have passed (34 divided by 2). However, without additional information, we cannot determine the exact number of cars that have passed.
For the second part of the question, we are told that 20 cars have passed. Since we don't know the value of M, we cannot determine the exact number of times the dog will bark. However, using the same example of M = 2, if 20 cars have passed, we can estimate that the dog will bark 40 times (20 multiplied by 2). Again, this is only an estimation based on the assumed value of M, and we cannot determine the exact number of barks without knowing the slope M.
2) The given sequence starts with the fourth term equal to 4 and the sixth term equal to 6. We are also told that each term after the second term is the sum of the two preceding terms.
Let's list out the terms of the sequence and determine the pattern:
1st term: Unknown
2nd term: Unknown
3rd term: Unknown
4th term: 4
5th term: Unknown
6th term: 6
Based on the given information, we know that the 7th term will be the sum of the 5th and 6th terms, and the 8th term will be the sum of the 6th and 7th terms.
To find the values of the 5th term and the 7th term, we need to determine the sum of the 4th and 5th terms to find the 6th term and continue the pattern:
4th term: 4
5th term = 6 - 4 = 2
6th term = 4 + 2 = 6
Now that we have the 6th term, we can apply the same logic to find the 7th and 8th terms:
7th term = 6 + 6 = 12
8th term = 6 + 12 = 18
Therefore, the 8th term of the sequence is 18.