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Sergio039 [100]
3 years ago
15

Fifth grade 120 dollars Sixth grade 180 dollars Seventh grade 240 dollars Eighth grade 300 dollars. a.Write three statements tha

t the principal could make
when comparing the goals each grade has set. b. The teachers set a goal of $225. Write two statements the principal could use to compare this goal to the eighth graders' goal
Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0
60 is the answer 
hope i helped !
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Elizabeth picked ⅔ off a row of strawberries from her garden. How many rows will Elizabeth have picked if she does this for 4 da
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Need help solving this please
Aloiza [94]

Answer:

A) x=39

Step-by-step explanation:

117 = 3x

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4 0
2 years ago
Justine bought a pair of boots for $76.68 and paid 13% sales tax. What was the price of these boots including tax?
MArishka [77]

Answer: $86.65

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4 0
2 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
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