Respuesta :
1)
a) In order to find the value of miles per minute, we just need to divide the number of miles by the number of minutes:
[tex]\frac{3\text{ miles}}{5\text{ minutes}}=\frac{3}{5}\text{ miles/minute}[/tex]So the result is 3/5 miles per minute.
b) In order to find the number of minutes per mile, since we have the value of miles per minutes, we just need to invert the fraction:
[tex]\frac{3\text{ miles}}{5\text{ minutes}}=\frac{5\text{ minutes}}{3\text{ miles}}=\frac{5}{3}\text{ minutes/mile}[/tex]So the result is 5/3 minutes per mile
c)
In order to calculate the distance after 1 hour (60 minutes), we can use a rule of three:
[tex]\begin{gathered} 5\text{ minutes}\to3\text{ miles} \\ 60\text{ minutes }\to x \\ \\ \frac{5}{60}=\frac{3}{x} \\ \frac{1}{12}=\frac{3}{x} \\ x=3\cdot12=36\text{ miles} \end{gathered}[/tex]So the result is 36 miles.
2)
Since they are going towards each other, the relative speed is the sum of their speeds:
[tex]V=8+4=12\text{ mph}[/tex]Now, to find the time, we just need to divide the distance by the speed:
[tex]t=\frac{37}{12}=3.083=3\text{ hours 5 minutes}[/tex]So the amount of time is 3 hours and 5 minutes.
3)
In order to find which bar has more protein, let's compare the fractions that represents the amount of protein in each bar:
[tex]\begin{gathered} \text{bar A: 15/40 of protein} \\ \text{bar B: 20/60 of protein} \\ \\ \frac{15}{40}=\frac{45}{120} \\ \frac{20}{60}=\frac{40}{120} \\ \frac{45}{120}>\frac{40}{120} \end{gathered}[/tex]So protein bar A has more protein per gram.
