Mark lives 5,000 feet from school. He walks to school at a steady rate of 250 feet per minute. Use that information and the diag
2 answers:
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Answer:
The greatest prime factor of k is 11.
Step-by-step explanation:
∵ LCM( 2, 15) = 30,
Thus, the even multiple of 15 must be multiple of 30,
That is, the even multiple of 15 between 295 and 615 are
300, 330, 360,..........600
Which is an AP,
Having first term, a = 300,
Common difference, d = 30,
If n be the number terms,
Last term =
Hence, the sum of the all even multiple of 15 from 295 to 615,
According to the question,
⇒ k = 11 × 450 = 11 × 5 × 5 × 3 × 3 × 2
Hence, the greatest prime factor of k is 11.
I attached a picture of how I worked out the answer
