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liberstina [14]
3 years ago
11

Paul bought a package of 6 spiral notebooks for a total cost of $13.50. which equation represents p, the cost, in dollars, of ea

ch notebook
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0
6p=13.50

there are 6 notebooks and it costs $13.50 altogether. P represents the cost of one notebook, therefore the equation would be 6p=13.5. It can be rearranged to p=13.5/6
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4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
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Start with

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x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

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Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

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By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

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3 years ago
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