Answer:
7
Step-by-step explanation:
Divide 7/8 by 1/4. (You divide the "supply" of raisins into 1/4 cup "parts".)
Multiply 7/8 by the reciprocal of 1/4 ("flip" the 1/4).
The result is 28/8, which can be simplified ("reduced") to 7.
The volume of a cone with base radius and height is
Similarly, the volume of a sphere with radius is
We know that and that
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
So you will need to solve for x and y before evaluating 2x+y....
2x-y=9, y=2x-9 now this will make 4x^2-y^2=171 become:
4x^2-(2x-9)^2=171
4x^2-(4x^2-36x+81)=171
36x-81=171
36x=252
x=7, now we can use 2x-y=9 to solve for y...
2(7)-y=9
14-y=9
-y=-5
y=5
now we know that x=7 and y=5, 2x+y becomes:
2(7)+5
14+5
19