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snow_lady [41]
3 years ago
7

Set up and solve the following using dimensional analysis.

Mathematics
1 answer:
Softa [21]3 years ago
4 0
1).  Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).

      (See explanation at the bottom)

         =      (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

         =      (5400 x 1 x 1 / 12 x 5280)  (inch - foot - mile / inch - foot) 

         =          0.0852  mile  


2).  Multiply (16 week) by (7 day/week) then by (24 hour/day)
       then by (60 minute/hour) then by (60 sec/minute).

3).  Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
       and then by (1000 mm/meter)

4).  Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
      then by (1 mile/1609.3 meter).

5).  Look up how many grams in a pound  ('P')
       Look up how many mL in a gallon       ('G')

      Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)

6).  Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).


Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch).  Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out.  When you're done, if you did it correctly, the last unit you end up with will be the one you want.      
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goldenfox [79]

00.8 is 10 times as great



8 0
3 years ago
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What is the volume of this rectangular prism 7/5 CM by 5 cm and 7/2 cm
Step2247 [10]

Answer:

V=\frac{49}{2}\ cm^3

or

V=24.5\ cm^3

Step-by-step explanation:

we know that

The volume of the rectangular prism is

V=LWH

where

L is the length

W is the width

H is the height

substitute the given values in the formula

V=(\frac{7}{5})(5)(\frac{7}{2})

V=\frac{245}{10}\ cm^3

Simplify

V=\frac{49}{2}\ cm^3 ---> fraction form

or

V=24.5\ cm^3 ----> decimal form

7 0
3 years ago
A phone plan costs $29.99 per month and includes 200 minutes of calling time. Minutes over 200 are charged at a rate of 25 cents
mylen [45]

Step-by-step explanation:

357-200 is 157 extra minutes (we are only counting the extra minutes)

157*0.25 is 39.25 (this is how much is the extra minutes in total cost)

therefore, add 39.25 and 29.99

29.99+39.25 is 62.24

Therefore, the total bill was $62.24

hope this helps :)

Have a nice day !

5 0
3 years ago
Our friends were comparing their debt. David has $150 of debt, Michael has $122 of debt, Maria has $210 of debt, and Ira has a b
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Maria because she is in debt of $210 meaning she owes $210. That is greater than the other debts.
6 0
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To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each i
myrzilka [38]

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3\frac{1}{3} * 33 = 110 points earned

\frac{1}{2} * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

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