Set up a system of equations:
x + y = 9
1/x +1/y = 1/2
The easiest way to solve would be substitution.
x + y = 9 can be solved for y:
y = 9 - x
Then plug this into the second equation and solve for x:
1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3
You can check your answer by plugging the two numbers back into both of the equations:
6 + 3 = 9
1/6 + 1/3 = 1/2
The two numbers are 6 and 3.
Answer:
The answer to your question is the letter D. 64π
Step-by-step explanation:
Data
diameter = 8 in
depth = 4 in
Volume = ?
Formula
Volume of a cylinder = πr²h
Process
1.- Calculate the radius
radius = 8 /2
radius = 4 in
2.- Calculate the volume
- Substitution
Volume = π(4)²(4)
- Simplification and result
Volume = π(16)(4)
Volume = 64π
Answer:
3^5= 3 times 3 times 3 times 3 times 3 or 243
Step-by-step explanation:
It is a parallelogram, because it has 2 sets of parallel lines. The top and bottom are parallel to eachother and the side lines are parallel to each other.
Answer:
D. 13
Step-by-step explanation:
54 ÷ 3 = 18 (your age in 5 years)
18 - 5 = 13 (your age now)
