Question

1. It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 59 days, 16 h, and 40 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 0.6 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 0.09(60h)+60h, 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.

Answer:

will mark brainliest if all work is shown

Answer 1

Step-by-step explanation:

1. If there are 24 hours in a day and we have 58 days then 24x58 would get us the hours that we need. So we would get 1392 hours. Add that to the hours already present and you get 1407 hours and 30 minutes. Since 30 minutes is half of one hour you can either use a fraction or decimal to give your answer: 1407.5 hours...

2. 0.6ft x12 = 7.2inches (12 inches in 1 foot)

1 day = 24 hours

0.6ft per day

7.2 inches in 24 hours

7.2/24 = 0.3inches

3.

0.09(60h)+60h is the total cost including the tax on it.

now, the tell-tale part is the 0.09, the decimal bit, because is multiplying 60h.

if, say to fix Deborah's computer took 5 hours, then h = 5, the cost the fellow is charging her for his work is 60h, if h = 5, then 60(5) .

so, the 0.09 in decimal format is simply applying an 8% tax on 60h, whatever "h" happens to be.