Question

Solve each problem using dimensional analysis. evey number must have a unit. work must be shown.
How many minutes are in 230 seconds
with out all the \] please.

Answer 1

To convert seconds to minutes using dimensional analysis, we start with the known conversion factor between seconds and minutes.

1 minute is equal to 60 seconds.

We want to convert 230 seconds into minutes:

\[
230 \, \text{seconds} \times \left( \frac{1 \, \text{minute}}{60 \, \text{seconds}} \right)
\]

Now we perform the multiplication:

\[
= 230 \times \frac{1}{60} \, \text{minutes}
\]

Now, we calculate \( 230 \div 60 \):

\[
= \frac{230}{60} \, \text{minutes} \approx 3.8333 \, \text{minutes}
\]

To represent this in a more standard format, we can convert 0.8333 minutes into seconds. Since there are 60 seconds in a minute:

\[
0.8333 \, \text{minutes} \times 60 \, \text{seconds/minute} \approx 50 \, \text{seconds}
\]

So, 0.8333 minutes is approximately 50 seconds.

Thus, the total time in minutes and seconds is:

\[
3 \, \text{minutes} \, 50 \, \text{seconds}
\]

Therefore, the final answer is:

230 seconds is approximately 3 minutes and 50 seconds or 3.8333 minutes.