Practice with a sample problem You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12 quarters/load,
Practice with a sample problem You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12 quarters/load,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![For example, dimensional analysis could be used to determine the number of nickels in 3432.35 dollars.
34 dellar
• To begin, write down the starting value, 3432.35 dollars. This can also be written as a fraction:
Next, convert dollars to cents. This conversion involves a simple conversion factor: delar Note that the "dollar" unit should appear on the bottom of this conversion
factor, since "dollars" appears on the top of the starting value.
• Finally, convert cents to nickels. This conversion also involves a simple conversion factor. . This time "cents" should be on the bottom of the conversion factor,
S centa
since it was on top of the previous conversion factor.
• Combining these expressions gives us
1 nickel
5 centa
3432.35 dollars
) (100 cente
1 dollar
• Finally, cancel units. Since dollars are divided by dollars, and cents are divided by cents, both of these units can be canceled. Multiplying through gives the final result:
1 nickel
5 centis
3432.35 dollars
100 conts
68, 647 nickels
1 dottar
• To complete the calulation, multiply everything in the numerator and divide by everything in the denominator (or top and bottom, respectively).
Practice with a sample problem
You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12
quarters/load.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb042c91b-703d-4261-9b2c-3abf12eebc5a%2Fa262c346-73ae-4a64-8b3e-b4ff5d2d3c2d%2Forv53k_processed.png&w=3840&q=75)
Transcribed Image Text:For example, dimensional analysis could be used to determine the number of nickels in 3432.35 dollars.
34 dellar
• To begin, write down the starting value, 3432.35 dollars. This can also be written as a fraction:
Next, convert dollars to cents. This conversion involves a simple conversion factor: delar Note that the "dollar" unit should appear on the bottom of this conversion
factor, since "dollars" appears on the top of the starting value.
• Finally, convert cents to nickels. This conversion also involves a simple conversion factor. . This time "cents" should be on the bottom of the conversion factor,
S centa
since it was on top of the previous conversion factor.
• Combining these expressions gives us
1 nickel
5 centa
3432.35 dollars
) (100 cente
1 dollar
• Finally, cancel units. Since dollars are divided by dollars, and cents are divided by cents, both of these units can be canceled. Multiplying through gives the final result:
1 nickel
5 centis
3432.35 dollars
100 conts
68, 647 nickels
1 dottar
• To complete the calulation, multiply everything in the numerator and divide by everything in the denominator (or top and bottom, respectively).
Practice with a sample problem
You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12
quarters/load.
![Part B
How many loads of laundry can you wash if you work 3 shifts?
Express your answer numerically as an integer.
> View Available Hint(s)
loads](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb042c91b-703d-4261-9b2c-3abf12eebc5a%2Fa262c346-73ae-4a64-8b3e-b4ff5d2d3c2d%2Fyu6lo76_processed.png&w=3840&q=75)
Transcribed Image Text:Part B
How many loads of laundry can you wash if you work 3 shifts?
Express your answer numerically as an integer.
> View Available Hint(s)
loads
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