The image contains several mathematical expressions and a word problem related to calculating mass.
Mathematical Expressions Observed:
b = \(\frac{1}{5}\)b = \(\frac{5}{12}\)b = \(\frac{6}{5}\)b = \(\frac{84}{25}\)b = 0Масса 1 м³ древесины \(\frac{14}{25}\) т. (Mass of 1 m³ of wood is 14/25 tons.)Найдите массу \(\frac{3}{4}\) м³ и \(\frac{5}{7}\) м³ древесины. (Find the mass of 3/4 m³ and 5/7 m³ of wood.)Analysis of the Word Problem:
The problem provides the density of wood in terms of mass per unit volume (14/25 tons per 1 m³). It then asks to calculate the mass for two different volumes of wood: 3/4 m³ and 5/7 m³.
To solve this, we would use the formula: Mass = Density × Volume.
Calculations:
Mass = \(\frac{14}{25} \text{ т/м³}\) \(\times\) \(\frac{3}{4} \text{ м³}\)Mass = \(\frac{14 \times 3}{25 \times 4}\) \(\text{ т}\)Mass = \(\frac{42}{100}\) \(\text{ т}\)Mass = \(\frac{21}{50}\) \(\text{ т}\)Mass = \(\frac{14}{25} \text{ т/м³}\) \(\times\) \(\frac{5}{7} \text{ м³}\)Mass = \(\frac{14 \times 5}{25 \times 7}\) \(\text{ т}\)Mass = \(\frac{70}{175}\) \(\text{ т}\)Mass = \(\frac{2}{5}\) \(\text{ т}\)Summary of Findings: