Answer: 2 cars and 6 buses.
Step-by-step explanation:
x + y = 8
5x + 55y =
5 times 2 = 10
plus
55 times 6 = 330
Add 330 plus 10 = 340!
Answer:
dy/dx = 2x+1/x(x+1)
Step-by-step explanation:
y = In x(x+1)
Let u = x(x+1) = x^2 + x
du/dx = 2x + 1
y = In u
dy/du = 1/u
dy/dx = dy/du × du/dx = 1/u × 2x+1 = 2x+1/u = 2x+1/x(x+1)
Answer:
A = πr² ← r is the radius and r = \frac{1}{2} d ← d is the diameter
Hence
π (\frac{1}{2} d)² = A, that is
\frac{d^2\pi }{4} = A ( multiply both sides by 4 )
d²π = 4A ( divide both sides by π )
d² = \frac{4A}{\pi } ( take the square root of both sides )
d = \sqrt{\frac{4A}{\pi } }
Answer:

Step-by-step explanation:
Let
y -----> the profit earned by the hot dog stand daily
x ----> the number of hot dogs sold
we know that
The linear equation that represent this problem is equal to

This is the equation of the line into slope intercept form
where
----> is the slope
---> is the y-intercept (cost of the day's supply)