Volume of a cylinder = the area of the base x height of the cylinder
Area of base =
r^2
A = 6^2(
)
A = 36
V = 36
x 12
V = 432
5 cylinders = 5V
5V = 5 x (432
)
5V = 2160
Final answer: Alex needs to buy 2160
or 6785.84 cubic feet worth of compressed air to fill all of the cylindrical tanks.
<span>3x + y = 9
3*5 + y = 9
15 + y = 9
y = 9 - 15
у = -6</span>
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
72 cards per stack, which makes for 6 baseball stacks, and 5 football stacks
Answer:
white: 1.6 cups
red: 1.6 cups
blue: 0.8 cups
Step-by-step explanation:
