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tigry1 [53]
3 years ago
15

Write the next two terms in the pattern 9,27,81,243

Mathematics
2 answers:
Basile [38]3 years ago
8 0

Answer:

729, 2,187, 6,561‬

Hope this helps!

Leni [432]3 years ago
4 0

Answer:

729, 2187

Step-by-step explanation:

Note the common ratio between consecutive terms, that is

27 ÷ 9 = 81 ÷ 27 = 243 ÷ 81 = 3

Thus to obtain the next term in the sequence multiply the previous term by 3

243 × 3 = 729

729 × 3 = 2187

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I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna
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Answer: N= 375, C= 875

Step-by-step explanation:  Let Canadian stamps=C

Let International stamps=N

C=875     and        N=375

 

C - 500=N,  .70(N + C) =C

Solve the following system:

{C-500 = N |     (equation 1)

0.7 (C+N) = C |     (equation 2)

Express the system in standard form:

{-N+C = 500 |     (equation 1)

0.7 N-0.3 C = 0 |     (equation 2)

Add 0.7 × (equation 1) to equation 2:

{-N+C = 500 |     (equation 1)

0 N+0.4 C = 350 |     (equation 2)

Divide equation 2 by 0.4:

{-N+C = 500 |     (equation 1)

0. N+C = 875. |     (equation 2)

Subtract equation 2 from equation 1:

{-N+0 C = -375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Multiply equation 1 by -1:

{N+0 C = 375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Collect results:

Answer: |  N = 375        and             C=875

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