Question

⦁ It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.

Answer:

Answer 1

1,407.5 hours.

Explanation:

Mercury takes approximately 58 days, 15 hours, and 30 minutes to complete a full rotation. To find out how many hours it takes, we need to convert the days, hours, and minutes into hours.

First, let's convert the 58 days into hours. Since there are 24 hours in a day, we can multiply 58 by 24 to get 1,392 hours.

Next, let's convert the 15 hours into hours. We don't need to do anything here since the value is already in hours.

Finally, let's convert the 30 minutes into hours. Since there are 60 minutes in an hour, we can divide 30 by 60 to get 0.5 hours.

Now, let's add up the hours we obtained from the conversions:

1,392 hours (from 58 days) + 15 hours + 0.5 hours = 1,407.5 hours

So, it takes Mercury approximately 1,407.5 hours to complete a full rotation.

In summary:

- 58 days is equivalent to 1,392 hours.

- 15 hours remains the same.

- 30 minutes is equivalent to 0.5 hours.

- Adding up these values, we get 1,407.5 hours.

Answer 2

1) (1407.5 hours)

1 day = 24 hours
24*58= 1392hours 58/1 * 24/1 + 30/1* 1/60
1392+15=1407hours
1407hours+30min= 1407.5hours

2) (0.25 inches per hour)

24h=1day 12inches=1ft
0.5/24 = 0.02083
0.02083*12= 0.25 inches per hour

3) 0.08(50h)

50h means $50 per hour and 0.08 stands for 8% sales tax so the which means she is pay 8% of the total cost so the answer is 0.08(50h)