Answer: a
Infinitely many
Step-by-step explanation:
Solve by substitution:
1) Solve
for
:

2) Substitute
for
in
:


3) Simplify both sides of the equation:

4) Add -2 to both sides of the equation:

5) Simplify both sides of the equation:

Therefore, there are infinitely many solutions.
Solve by elimination:
You cannot solve this system by elimination
Solve by graphing:
The
equations are on top of each other, therefore, the system of equations has infinitely many solutions.
If you put them together, +2.5y and -2.5y neutralize themselves while 5x and 3x become 8x.
2.5y + 3x = 27
5x – 2.5y = 5
8x = 32
x = 4
2.5y + 3x4 = 27
2.5y + 12 = 27
2.5y = 27-12
2.5y = 15
y = 15/2.5
y = 6
X = 4
Y = 6
Answer:
<u>The volume of the container is 37.7 cubic inches and the equation is π * r² * h/3, where r is the radius and h is the height of the cone.</u>
Step-by-step explanation:
Let's recall that the formula for finding out the volume of a cone is:
Volume of a cone = π * r² * h/3
Replacing with the real values, we have:
diameter = 4 inches ⇒ radius = 2 inches
Volume of a cone = 3.1416 * 2² * 9/3
Volume of a cone = 3.1416 * 4 * 3
Volume of a cone = 37.7 cubic inches
A student can only belong to one age group! You can't be 5 and 11 :p