y = -
x - 34
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )
m =
=
= - 
the y-intercept = (0, - 34 ) ⇒ c = - 34
y= -
x - 34
Answer:
4,280 tickets were sold
Step-by-step explanation:
Answer:
141.3 cubic inches
Step-by-step explanation:
The volume of a cylinder is found using the volume formula
.
The radius is half the diameter 6 which is 3.
Substitute h=5 and r = 3.

Answer: 
Step-by-step explanation:
The volume of a cylinder can be calculated with the following formula:

Where "r" is the radius and "h" is the height.
The volume of a sphere can be found with this formula:

Where "r" is the radius.
Then, volume of the empty cylinder is:

And the volume of the ball is:

Finally, you need to subtract them in order to calculate how much water is in the cylinder:
