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kirill115 [55]
3 years ago
7

After 7 hours of driving, who is farther from his or her home? By how much?

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0
Ben is farther from his home. by 350 miles.
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What is 874 base 9 multiplied by 676 base 9?​
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Consider the digit expansion of one of the numbers, say,

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• 48 = 45 + 3 = 5•9¹ + 3•9⁰ = 53₉

• 42 = 36 + 6 = 4•9¹ + 6•9⁰ = 46₉

• 24 = 18 + 6 = 2•9¹ + 6•9⁰ = 26₉

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874₉ • 70₉ = (8•7)(7•7)(4•7)0₉ = (56)(49)(28)0₉

• 56 = 54 + 2 = 6•9¹ + 2•9⁰ = 62₉

• 49 = 45 + 4 = 5•9¹ + 4•9⁰ = 54₉

• 28 = 27 + 1 = 3•9¹ + 1•9⁰ = 31₉

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Then

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= 5(13)(20)(20 + 1)06₉

= 5(13)(20)(2•9 + 3)06₉

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= 5(13)(2•9 + 4)306₉

= 5(13 + 2)4306₉

= 5(1•9 + 6)4306₉

= (5 + 1)64306₉

= 664306₉

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