Original Figure:
Length = 15
Width = 5
Height = 10
Volume = Length*Width*Height
Volume = 15*5*10
Volume = 750
New Figure
Length = 3
Width = 1
Height = 2
Each dimension has been divided by 5 (eg: 15/5 = 3)
Volume = Length*Width*Height
Volume = 3*1*2
Volume = 6
The old volume was 750 and it changes to 6
Notice how 750/6 = 125
Which can be rearranged to 750/125 = 6
Answer: if you divide the old volume by 125, then you get the new volume
Note: the new volume is 125 times smaller than the old volume
Put another way, the old volume is 125 times larger compared to the new volume
The fact that 125 = 5^3 is not a coincidence. If you divide each dimension by some number k, then you divide the volume by k^3
25*4=100, so you multiply both and 1 by 25 to get 25%. since 1/4 is not a whole number, it becomes .25% and 3 is the whole number that comes before it. 3.25% is the way to write 3 1/4 as a percent.
B.
To create a square trinomial on the left side of the equation, find a value that is equal to the square of half of.
Y=6x is bigger because they have the same variables, but the known numbers in the first equation are doubled
4 = -6w + 8(w+2) is an equation, and your job is to "Find the value of w that satisfies this equation."
Perform the indicated multiplication:
4 = -6w + 8w + 16. This becomes:
4 = 2w + 16, which in turn becomes 2w = -14. Thus, w = -7 (answer)
