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3 years ago

13

Christopher has 3/4 of a pie . Alex has 2/3 of a pie. Jaden has 1/2of a pie. Who has the biggest amount? Who has the least? How

much pie do the boys have altogether? Use numberline and model

1 answer:

vfiekz [6]3 years ago

3 0

Chris has most the. Alex follows jaden has the least amount ( no model shown so cant answer on that)

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Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

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$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

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Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

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Step 3 - Conclusion

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Thanks

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