3x - 5 = 2x + 10 What’s the value of x
2 answers:
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Answer:
The portion of the volume of the cup that is filled with water is
Step-by-step explanation:
step 1
Find the volume of the paper water cup
The volume of the cone is equal to
we have
substitute
step 2
If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water
Remember that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
In this problem the similar cone has half the height of the complete cone
so
The scale factor is equal to 1/2
therefore
The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube
therefore
The portion of the volume of the cup that is filled with water is
You want to do to one side the same thing you do to the other side.
In order to get the n by itself you divide the 25n by 25. But in order to not change the answer you need to do the same to the 70.
so n=
which can be reduced to 
so n=
In order to get the n by itself you divide the 25n by 25. But in order to not change the answer you need to do the same to the 70.
so n=
so n=