The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
- The time spent on doing the homework is 15 minutes.
- The time spent watching television is 3 hours.
- To calculate the ratio, we must have the same units for both quantities.
- We have to convert the time spent watching television from hours to minutes.
- 1 hour is 60 minutes.
- 3 hours has 3*60 minutes.
- 3 hours have 180 minutes.
- So, the time spent watching television is 180 minutes.
- The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
- We need to simplify the fraction.
- 15/180 is equal to 1/12.
- Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
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So there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other.
(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups
(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)
this comes out 4.8 cups/1 minute
Volume of prism = 1/2 a c h
= 1/2 × 7 × 9 × 15 = 472.5
Therefore, the vorrect answer is A. 472.5 ft
