Answer on Question #76801 – Math – Algebra
Question
1. LaTeX: \left| \left(3 \right) \text{frac}\{1\} \{2\} - 9 \right| \text{frac}\{3\} \{4\} \text{right} \mid \text{div} \left( \left| \text{left}(-2.5) \right| \right) \text{right}
Solution
∣ ( 3 1 2 − 9 3 4 ) ÷ ( − 2.5 ) ∣ = ( 7 2 − 39 4 ) ÷ ( − 2.5 ) = ( 14 − 39 4 ) ÷ ( − 2.5 ) = ( − 25 4 ) ÷ ( − 2.5 ) = = ( − 6.25 ) ÷ ( − 2.5 ) = − 6.25 − 2.5 = 6.25 2.5 = 2.5 \begin{array}{l}
\left| \left(3 \frac {1}{2} - 9 \frac {3}{4}\right) \div (- 2.5) \right| = \left(\frac {7}{2} - \frac {39}{4}\right) \div (- 2.5) = \left(\frac {14 - 39}{4}\right) \div (- 2.5) = \left(\frac {- 25}{4}\right) \div (- 2.5) = \\
= (- 6.25) \div (- 2.5) = \frac {- 6.25}{- 2.5} = \frac {6.25}{2.5} = 2.5 \\
\end{array} ∣ ∣ ( 3 2 1 − 9 4 3 ) ÷ ( − 2.5 ) ∣ ∣ = ( 2 7 − 4 39 ) ÷ ( − 2.5 ) = ( 4 14 − 39 ) ÷ ( − 2.5 ) = ( 4 − 25 ) ÷ ( − 2.5 ) = = ( − 6.25 ) ÷ ( − 2.5 ) = − 2.5 − 6.25 = 2.5 6.25 = 2.5
Answer: 2.5.
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