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Artyom0805 [142]
3 years ago
13

Which property best justifies why the two expressions below are equivalent? 3(m + 5) = 3m + 15

Mathematics
2 answers:
fgiga [73]3 years ago
8 0
Distributive property
malfutka [58]3 years ago
4 0
The distribution property is the best justification.
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The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 15 c
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Step-by-step explanation:

Given that,

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V\propto \frac{T}{P}

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T= Temperature at constant mass

P= pressure at constant mass

\frac{V_1}{V_2}=\frac{\frac{T_1}{T_2}}{\frac{P_1}{P_2}}

\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}.

Given that,

At constant mass, the volume of a certain gas is 15 cubic feet and a pressure of 40 pound per square inch at a temperature 300 k.

V_1=15 cubic feet, P_1=40 pound per square inch and T_1= 300 K

V_2=?, P_2=20 pound per square inch and T_2= 320k

\therefore \frac{V_1}{V_2}=\frac{T_1P_2}{T_2P_1}.

Plugging all values

\frac{15}{V_2}=\frac{300\times 20}{320\times 40}

\Rightarrow V_2=\frac{15\times 320\times 40}{300\times 20}{}

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