Melanie is looking for a summer job. After a few interviews, she ends up with two job offers. (1) Blue Street Café pays $11.75 per hour plus $33 from tips each week.

(2) Fashion Icon Factory Store pays $14.50 per hour with no tips.

How many hours would Melanie need to work in order for the pay at each job to be the same? Write and solve an equation.

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

The graph of h(x)= |x-10| +6 is shown. on which interval is this graph increasing

Select the correct answer from each drop-down menu. the length of a rectangle is 5 inches more than its width. the area of the rectangle is 50 square inches. the quadratic equation that represents this situation is the length of the rectangle is inches.