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Anastasy [175]
3 years ago
11

Together, John and Kevin have 72 pokemon cards. Kevin has 5 times as many cards as John. How many cards does each person have? S

how all work. Thank you,
Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

Answer:

John has 12 pokemon cards

Kevin has 60 pokemon cards

Step-by-step explanation:

let x = the # of pokemon cards John has

5x = the # of pokemon cards Kevin has

5x + x = 72

6x = 72

x = 12

5x = 60

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Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

a_n = a_1 + (n - 1)d

To find d (the common difference) we can simply subtract one of the terms by the last, for example:

d = 299 - 305 \\d = -6 \\

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

d = 305 - 311\\d = -6

We also have to know that a_1 stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503

Good luck!

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3 years ago
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