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Crazy boy [7]
2 years ago
14

Robin donated bags of grain that each weighed 40/3 pounds to the local food shelf. If the total weight of the grain was 160 poun

ds, how many bags of grain did Robin donate?
A. 4
B. 6
C. 8
D. 12
Mathematics
1 answer:
Novay_Z [31]2 years ago
7 0

Answer:

d 12

Step-by-step explanation:

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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

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3 years ago
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Answer:

fraction negative 3 over 5 is to the right of −0.8 and to the left of 0

Step-by-step explanation:

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2 years ago
What is the volume of the rectangular prism if the length is 3cm the width is 4/3cm and the height is 3/5cm?
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Answer:

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