Answer:
$3.70
Step-by-step explanation:
$25.30 = 2P + 4D. p for popcorn and d for drinks
P= $5.25
$25.30 = 2($5.25) + 4D
$25.30 = $10.50 + 4D
-10.50. -10.50
inverse operations
$14.80 = 4D
÷4. ÷4
Inverse operations
$3.70 = D
Answer:
i will be you friend and help you but where the question
Step-by-step explanation:
Answer:
141, meaning that there will be two real solutions
Step-by-step explanation:
The discriminant of a quadratic is
, which in this case is:

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.
Hope this helps!
Answer:
-4/5 or -0.8
Step-by-step explanation:
Slope: (y2 - y1)/(x2 - x1)
m = (49 - 45)/(5 - 10)
= 4/-5
= -⅘
Answer:
dh/dt ≈ 0.55 ft/min
Step-by-step explanation:
The volume is given by the formula ...
V = (1/3)πr²h
We have r = h/2, so the volume as a function of height is ...
V = (1/3)π(h/2)²h = (π/12)h³
Then the rates of change are related by ...
dV/dt = (π/4)h²·dh/dt
dh/dt = (4·dV/dt)/(πh²) = 4(35 ft³/min)/(π(9 ft)²)
dh/dt ≈ 0.55 ft/min