Answer :
Let's answer these questions step-by-step.
Complete the following:
a. How many seconds are there in a minute? [tex]60[/tex]
- How many seconds in an hour? [tex]60 \times 60 = 3600[/tex]
- How many seconds in a day? [tex]3600 \times 24 = 86400[/tex]
- How many seconds in a week? [tex]86400 \times 7 = 604800[/tex]
b. How many minutes are there in an hour? [tex]60[/tex]
- How many minutes in a month? Assume 30 days so, [tex]60 \times 24 \times 30 = 43200[/tex] minutes.
c. How many hours are there in a day? [tex]24[/tex]
- How many hours in a week? [tex]24 \times 7 = 168[/tex]
- How many hours in a year? Assume 365 days, so, [tex]24 \times 365 = 8760[/tex] hours.
d. How many days are there in a week? [tex]7[/tex]
- How many days in a year? [tex]365[/tex]
- How many days in a century? [tex]365 \times 100 = 36500[/tex]
e. How many years are there in a century? [tex]100[/tex]
- How many in 500 centuries? [tex]100 \times 500 = 50000[/tex]
Convert minutes to seconds:
a. 2 minutes [tex]2 \times 60 = 120:[/tex]
b. 55 minutes [tex]55 \times 60 = 3300[/tex]
c. 3 [tex]\frac{1}{2}[/tex] minutes [tex]3.5 \times 60 = 210[/tex]
d. 10 [tex]\frac{1}{2}[/tex] minutes [tex]10.5 \times 60 = 630[/tex]
e. 15 [tex]\frac{1}{5}[/tex] minutes [tex]15.2 \times 60 = 912[/tex]
Convert hours to minutes:
a. 2 hours [tex]2 \times 60 = 120[/tex]
b. 48 hours [tex]48 \times 60 = 2880[/tex]
c. 20 [tex]\frac{1}{2}[/tex] hours [tex]20.5 \times 60 = 1230[/tex]
d. 30 hours [tex]30 \times 60 = 1800[/tex]
e. 12 [tex]\frac{3}{4}[/tex] hours [tex]12.75 \times 60 = 765[/tex]
Convert hours to seconds:
a. 1 hour [tex]1 \times 3600 = 3600[/tex]
b. 12 hours [tex]12 \times 3600 = 43200[/tex]
c. 30 hours [tex]30 \times 3600 = 108000[/tex]
d. 4 [tex]\frac{1}{2}[/tex] hours [tex]4.5 \times 3600 = 16200[/tex]
e. 20 [tex]\frac{1}{4}[/tex] minutes [tex]20.25 \times 60 = 1215[/tex] seconds (Note: changed to minutes for conversion)
Complete the table by filling in the blanks:
Weeks11.522.533.544.557Days710.51417.52124.52831.53549Hours1682523364205045886727568401176Minutes10080151202016025200302403528040320453605040070560
Convert years to weeks and days (assuming 365 days/year):
WeeksDaysa. 2 years104.28730b. 5 years260.711825c. 10 years521.433650
d. 1
[tex]\frac{1}{2}[/tex]year
78.57548
e. 15
[tex]\frac{1}{2}[/tex]years
807.144678