Cogentin 0.5 mg #30 Take iii tabs daily for 30 days: What is the total number of tablets the patient will take in 30 days?

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

4 0

He will take total 90 tablets in 30 days.

Step-by-step explanation:

The patient takes 3 tablets daily for 30 days.

We need to find what is the total number of tablets the patient will take in 30 days.

Tablets taken by patient for 1 day = 3

Tablets taken by patient for 30 days = 3*30 = 90

So, he will take total 90 tablets in 30 days.

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$\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}$

$a^{81}\equiv1^{81}\equiv1\pmod7$

$b^{91}\equiv2^{91}\pmod7$

$2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7$
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$\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7$

$c^{27}\equiv6^{27}\pmod7$

$6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7$

$\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7$