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Kay [80]
2 years ago
5

Explain how you can use the inverse relationship of addition and subtraction to solve the equation n+7=25.

Mathematics
1 answer:
juin [17]2 years ago
3 0

answer:

25-7=n. n = 18

Step-by-step explanation:

...

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a map has a scale of 1.5 inches = 9 miles. On the map, two towns are 4 inches apart. What is the distance, in miles between the
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i multpliy 9x4=36

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Read 2 more answers
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.​
Leni [432]

Answer:

To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;

3·4ⁿ is divisible by 3 and 51 is divisible by 3

Where we have;

S_{(n)} =  3·4ⁿ + 51

S_{(n+1)} = 3·4ⁿ⁺¹ + 51

S_{(n+1)} - S_{(n)} = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ

S_{(n+1)} - S_{(n)} = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ

∴ S_{(n+1)} - S_{(n)} is divisible by 9

Given that we have for S₀ =  3×4⁰ + 51 = 63 = 9×7

∴ S₀ is divisible by 9

Since  S_{(n+1)} - S_{(n)} is divisible by 9, we have;

S_{(0+1)} - S_{(0)} =  S_{(1)} - S_{(0)} is divisible by 9

Therefore S_{(1)} is divisible by 9 and S_{(n)}  is divisible by 9 for all positive integers n

Step-by-step explanation:

5 0
3 years ago
What is the answer to 7/10+ 1/2
trapecia [35]

Answer:

12/10 or 1 1/5

Step-by-step explanation:

1/2 = 5/10

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5 0
2 years ago
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