I hope this helps you
What is the solution to the system of equations? Use any method you prefer to solve.
2 answers:
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<h2>Hello!</h2>
The answer is:
The third option:
2.7 times as much.
<h2>Why?</h2>To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.
So, calculating we have:
Old can:
Since the cans have a right cylinder shape, we can calculate their volume using the following formula:
Where,
We are given the old can dimensions:
So, calculating the volume, we have:
We have that the volume of the old can is:
New can:
We are given the new can dimensions, the diameter is increased but the height is the same, so:
Calculating we have:
Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:
Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:
2.7 times as much.
Have a nice day!
change
given you
making x the subject by transferring the -19 to the right hand side of the equation
dividing through by 5
{}
also given
change the operation sign to =
dividing through by -4
so the truth set is
{x:x>9/4}.
The < sign changes to > because we divided by a negative number when solving for x