The statement "unit cubes with side lengths of 1/2 foot are added to fill the prism with no space remaining" is useless information so you can disregard that. All you need to know to calculate the volume is the length, width, and height.
Volume = length x width x height
Volume = (5/2) x 3 x 11/2
Volume = 15/2 x 11/2
Volume = 165/4
Volume = 41.25 ft cubed
Answer:
15
Step-by-step explanation:
5 ! = 120
Since 5 ! = 5 × 4 × 3 × 2 × 1, then
5 × 3 = 15 is the greatest odd factor of 5 !
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There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as
and we can use this to express both of our values. So, for Ohio, we have 
and for Illinois we have 
. Now, because they are proportional, we can set them equal to each other and we get 
. Now we can cross multiply to get 
. To get the 
alone on one side, we divide by
and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers
You would isolate the variable for ex
2x+3=9
2x=9-3
2x=6
x=3
