These are my last points. Please answer this correctly take your time for this.. Janel bought 5.25 pounds of gucky worms for $7.
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So with this equation, since the volume of the cylinder is 96 pi, plug that into the V variable, and since the radius of one of the marbles is 3, plug that into the r variable. From here, we can solve for x:
Firstly, solve the parentheses:
Next, multiply 36 pi and x:
Next, subtract 24 pi on both sides:
Lastly, divide both sides by 36 pi, and your answer will be , or B.
Unfortunately your teacher is using x as both a variable and a multiplication sign. This is something that can be avoided by using something like the asterisk symbol to indicate multiplication.
Anyways, notice how the expression shows up twice. Once in the numerator (the entire numerator) and once again in the denominator (nearly the whole thing)
Let's replace that messy expression with the variable y. So we're letting
This means,
At this point you can probably see how to get from here. The y terms cancel out when we divide leaving 1 up top and 3^x down below.