(solving rates) At a school camp

1 answer:

4 0

5 days food for 150 students suggests there was 750 day rations

If there was 100 students this would last 750/100 = 7.5 days.

If it ran out after 4 days there were 750/4 = 187 students (187.5 not valid)

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Step by step explanation thanks

ratelena [41]

Answer:

75%

Step-by-step explanation:

$\frac{90}{120}*100=\frac{9}{12}*100=\frac{3}{4}*100=3*25=75%$ %

7 0

3 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.