12x >9(2x-3)-15
distribute
12x> 18x-27-15
combine like terms
12x>18x -42
subtract 18x from each side
12x -18x >18x-18x-42
-6x>-42
divide by -6 which will flip the inequality
-6x/-6<-42/-6
x<7
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
<h3>Volume of a sphere</h3>
The globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
<h3>Volume of a cube</h3>
The box is a cube. Therefore,
volume = L³
where
Therefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
learn more on volume here: brainly.com/question/15385003
Answer: 84 over 25 is 3.36 as your answer
Answer: 
Step-by-step explanation:
The expression given in the exercise is:
If you descompose the number 8 into its prime factors, you get that:
Therefore, you can rewrite the numerator of the expression as following:
For this exercise you need to remember that for a Difference of cubes:
Then, applying this, you get:
Now, it is necessary to remember the following:
Knowing the above, you can say that:
Therefore applying this, you get that the simplified expression is:
That would not be right because 4 times 3 equals 12 and -6 times 3 equals -18.
