Show your work Their meal cost $78.65, and they leave a 20% tip. The tip is always applied to the cost of the meal before the discount, what is the total cost the family will pay? (15 points)

Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?

The police chief wants to know if the city’s african americans feel that the police are doing a good job. identify the management problem (i.e dependent variable) and identify the independent variable.