Step-by-step explanation:
12 + 16 ÷ 4 × 5 - 8
12 + 4 × 5 - 8
12 + 20 - 8
32 - 8
24
The answer is D) Yes; because x and y must be integers, and integers are rational.
Answer:

Step-by-step explanation:
The volume of a cylinder is given as:

Since the diameter is
, the radius is
.
Therefore, the volume of this cylinder is:
, using
as requested in the problem.
Since the tank is emptied at a constant rate of
, it will take
to empty the tank.
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Answer:
SteAnswer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A
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