2004
Mathematics
67ca00ce0c643c71d77dee1f
Find P, if 4516 - P7 = 3056
A.
627
B.
1167
C.
6117
D.
1427
Correct Answer: 1167
Explanation
451 6 - P 7 = 305 6 P 7 = 451 6 - 305 6 P 76 convert 1426 = 1 * 62 + 4 * 61 + 2 * 60 = 36 + 24 + 2 = 62 Convert 6210 to base 7 62/7 = 8 R 6 8/7 = 1 R 1 1/7 = 0 R 1 ∴ P 77
451 6 - P 7 = 305 6 P 7 = 451 6 - 305 6 P 76 convert 1426 = 1 * 62 + 4 * 61 + 2 * 60 = 36 + 24 + 2 = 62 Convert 6210 to base 7 62/7 = 8 R 6 8/7 = 1 R 1 1/7 = 0 R 1 ∴ P 77THIS WEEK's
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