The third-place finisher of the Allen County hot dog eating contest, in which each contestant was given an equal amount of time
1 answer:
Answer:
Third placer consumed 24 hot dogs.
Winner consumed 48 hot dogs.
Step-by-step explanation:
Lets assume that the third runner up eats x hot dogs.
The total time for the contest is 15x seconds.
Given is that the winner ate (x+24) hot dogs
The winner's rate of eating is 1 hot dog per 7.5 seconds.
And we know the rate =
We get;
x = 24 (third placer)
And the winner consumed hot dogs.
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Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.