Solve for r.
The goal is to isolate r on one side of the equation.
bh + hr = 25
Subtract bh from both sides.
hr = 25 - bh
Now divide both sides by h.
r = (25 - bh) / h
The h's will cancel each other out.
r = 25 - b
I hope this clarifies things!
Steps for solving:
47.5 + 4.5x ≤ 65.
~ Subtract 47.5 from both sides.
4.5x ≤ 17.5.
~ Divide both sides by 4.5.
x ≤ 3.8888888889...
Thus, they will indeed need to share the snacks.
Best of luck!
Answer:
6 knots
Step-by-step explanation:
Let the velocity be v knots
thus, the time required to traverse 500 M is given by 500 / v hours
Fuel consumption per hour is equal to 216 plus half the cube of the speed (v^3).
Let F denote the fuel consumption for the journey
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
The derivative of F with respect to v is: dF/dv = 500[ - 216/v^2 + v]
The second derivative, d^2F/d^2v = 500[432/v^3 + 1], indicates positivity.
Setting dF/dv to zero helps find the minimum.
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
By solving, we arrive at v = [216]^(1/3) = 6 knots
Response:
x equals 7
Step-by-step breakdown:
Information:
∠DEF is 117°
∠DEG measures (12x + 1)°
∠GEF is (5x - 3)°
Objective:
determine the value of x
Calculation:
The equation is ∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17x - 2
Thus, x = 7
The formula for an arithmetic sequence:
We are given:
Determine d (the common difference)
Calculate a31:
