Two mechanics worked on a car. The first mechanic charged \$65 per hour, the second mechanic charged \$80 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a...

Define a variable and write a verbal model and an equation.  Then solve the equation and check the solution using substitution   The enrollment at the University of Texas, Austin,...

Solve the following trigonometric equations   (a) 2 cos θ +√3 = 0, 0 ≤ θ ≤ 2π     (b) tan x = √2sinx, 0 ≤ x ≤ 2π   (c) sec 2 x−1 = 0, 0 ≤ x...

how do i solve this problem?

The period of a pendulum is the time required for it to make one complete swing back and forth. The formula of the period P of a pendulum is P = 2(pi) times the square root of l over 32, where l is...

The formula for the kinetic energy of a moving object is E = 1/2mv, where E is the kinetic energy in joules, m is the mass in kilograms, and v is the velocity in meters per second.   1-...

I don't know the most effective way to do this problem, how do you do it not by guess and check?

Tyler starts walking at 2 miles per hour. An hour later, Nadine starts jogging along same route at 6 miles per hour. How long will it take Nadine to catch up with Tyler?

The larger of two numbers is two more than three times the smaller.And when the larger number is subtracted from the smaller, the result is -16. What are the two numbers.