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:
D; is the right answer hope it helps ;)
Step-by-step explanation:
Answer:
vasd
Step-by-step explanation:
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:
We also know that the children attendance doubles the adult attendance:
The third equation is the seating capacity, which we assume is full:
We start by replacing variables in two of the equations:
Then, we solve the remaining equation for a:
Then, we solve for the other two equations:
The attendance was 198 children, 90 students and 99 adults.
Question a:
Mass = Density × Volume
Density = Mass/Volume
Volume of the tree trunk (the shape of Cylinder) = Area of circular base × height
Volume = [πr²] × h
Volume = [π × 0.25²] × 20
Volume = 3.93 m³
Density = 380 kg/m³
Mass = Density × Volume
Mass = 380 × 3.93
Mass = 1493.4 kg
------------------------------------------------------------------------------------------------------------
Question b)
The growth ring = 4 millimeters = 4÷1000 = 0.004
New diameter = 0.5 + 0.004 = 0.5004
New height = 20 + 0.2 = 20.2
New volume = [πr²] × h
New volume = [π × 0.2502²] × 20.2
New volume = 3.97 m³
