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1 year ago

Can you simplify 37/80

Mathematics

1 answer:

Setler [38]1 year ago

7 0

Answer:

Step-by-step explanation:

37 is prime, so it's not possible to reduce/simplify 37/80. 37/80 is the ratio of two integers. We could, of course, use a calculator to find the decimal equivalent: 0.4625, but this is not more accurate than the ratio 37/80.

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2 years ago

0.4 x 10 =....<br>1.25 x 10 = <br>97.465 x10 =

chubhunter [2.5K]

Answer:

0.4 × 10 = 4

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3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

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Answer:

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.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

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

Step 1 - for n = 1

4+17=21= 3*7 this is true

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

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

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3 years ago

An object falls 9 m in the first second, another 27 m in the second second, and then 108 m more in the third second. If this pat

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Answer: B) 684m

Step-by-step explanation:

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3 years ago

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Caleb paid $13.49

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2 years ago

Read 2 more answers