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Alexus [3.1K]
2 years ago
5

Choose the following ratios as a fraction: 3 out of 4 games won (2 are correct)

Mathematics
2 answers:
Black_prince [1.1K]2 years ago
7 0

Answer:

I don't think any of the options are correct.

The ratio 3 out of 4 is 3/4 as a fraction.

The option you gave aren't equal to 3/4.

lina2011 [118]2 years ago
3 0

Answer:

I'm guessing 6/10 and 12/30 but i don't think any are correct sorry

Step-by-step explanation:

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a large aquarium 18 inches deep holds 30 gallons of water. a small aquarium with the same shape holds 20 gallons of water. how d
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3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

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

4 0
3 years ago
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he
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make 10 copies and each will be sold for 200dollars

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