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if one of the boats mass of 48kg and a total of 0.196 m^3 of fresh water (p=1000 kg/m ^3) is displaced once the first years get in, how many first years are there in a boat if the average mass of a first year student is 36.5 kg?

Respuesta :

ANSWER:

4

STEP-BY-STEP EXPLANATION:

Mass of boat = 48 kg

Volume of boat = 0.196 m³

The quantity of the first year reaches the maximum depending on the density, it cannot exceed 1000 kg/m³ otherwise the boat will sink.

Therefore, we can establish the following equation:

[tex]\begin{gathered} \rho_b=\rho_w \\ \\ \text{ We replacing:} \\ \\ \frac{m}{V}=1000 \\ \\ m=m_b+x\cdot m_{fy},\text{ let x be the amount of first year} \\ \\ \text{ we replacing:} \\ \\ \frac{48+x\cdot 36.5}{0.196}=1000 \\ \\ 36.5x=1000\cdot\:0.196-48 \\ \\ x=\frac{148}{36.5} \\ \\ x=4.05\cong4 \end{gathered}[/tex]

This means that the number of the first years get in is 4

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