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  1. 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.

  2. A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in inches per hour can the mile-a-minute weed grow up to? Show your work using the correct conversion factors

  3. The total cost after tax to repair Deborah’s computer is represented by , where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.

Verified Answer :

imatrainyeet

1.

1 day = 24 hours

2458= 1392hours  58/1 24/1        +           30/1 1/60

1392+15=1407hours  

1407hours+30min= 1407.5hours

2.

24h=1day 12inches=1ft

0.5/24 = 0.02083

0.0208312= 0.25 inches per hour

3.

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)

1. 1407.5 hours Mercury takes to complete a full rotation.

2. 0.25 inches per hour can the mile-a-minute weed grow up to.

What is Unit Conversion?

Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

1. Number of hours in a day = 24 hours

For, one rotation Mercury takes approximately 58 days, 15 h, and 30 min.

So,2458= 1392 hours  

   = 58 24 + 30/1 1/60

   = 1392+15

   =1407hours  

and, 1407 hours + 30min = 1407.5hours

2. In 24h = 1day

and, 1ft = 12inches

So, 0.5 ft per day in inches per hour

=0.5/24

= 0.02083 ft per hour

and, 0.0208312

    = 0.25 inches per hour

Learn more about unit conversion here:

https://brainly.com/question/4736731

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