You are comparing the cost of two cab companies. Company A charges a flat $2 fee plus $2 per mile. Company B charges a flat fee of $5 plus $1 per mile. Write a system of equations to represent the total cost of the two cab companies. At how many miles would both companies cost the same amount? What is the cost at that time? Make sure you:

1. Define variables. What does x and y stand for?

2. Write a system of equations.

3. Solve the system of equations.

4. Write the answer using words.

The sum of the reciprocal of a positive number and the reciprocal of 2 more than the number is 3/4 equation: the number is

Carl's candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2. what is the standard deviation of the length of candy bars produced at carl's candies?

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?