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scZoUnD [109]
2 years ago
10

HELP! THIS IS DUE SOON!!!

Mathematics
1 answer:
Bas_tet [7]2 years ago
7 0

Answer:

4 candles

Step-by-step explanation:

x = amount of candles

use the equation: $24.75 X = $100

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An implication (p\implies q) is true if either the premise (p) is false, or both the premise and conclusion (p\text{ and }q) are both true, and false otherwise.

\begin{array}{c|c|c|c|c|c|c}p&q&p\implies q&\neg q&(p\implies q)\land\neg q&\neg p&(p\implies q)\land\neg q\implies\neg p\\T&T&T&&&&\\T&F&F&&&&\\F&T&T&&&&\\F&F&T&&&&\end{array}

Negation (\neg q) is straightforward; if a statement is true, then its negation is false, and vice versa.

\begin{array}{c|c|c|c|c|c|c}p&q&p\implies q&\neg q&(p\implies q)\land\neg q&\neg p&(p\implies q)\land\neg q\implies\neg p\\T&T&T&F&&F\\T&F&F&T&&F\\F&T&T&F&&T\\F&F&T&T&&T\end{array}

A conjunction (p\land q) is true if both premises are true, and false otherwise.

\begin{array}{c|c|c|c|c|c|c}p&q&p\implies q&\neg q&(p\implies q)\land\neg q&\neg p&(p\implies q)\land\neg q\implies\neg p\\T&T&T&F&F&F\\T&F&F&T&F&F\\F&T&T&F&F&T\\F&F&T&T&T&T\end{array}

Finally, by the rules of implication, we can fill the last column:

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