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zhannawk [14.2K]
3 years ago
7

Find – 8 + (-15) A: 23 B: -23 C: -7 D: 7

Mathematics
2 answers:
adell [148]3 years ago
6 0

Answer:

B: -23

Step-by-step explanation:

-8+(-15)\\\\-8-15\\\\\boxed{-23}

Option B should be the correct answer.

Hope this helps.

malfutka [58]3 years ago
4 0
B. -23
You add and keep the negative symbol since they are both negatives and you are adding.
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Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\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
8\equiv1\pmod7
2\equiv2\pmod7
\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
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Answer:

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