The first 1,500 students who register cars with the parking facilities office at a state university are guaranteed a parking space. the initial number of students at the office when it opened was 83, and the number of students that visit the office increases every hour by 17%. which of the following inequalities can be used to determine the number of hours, t, after the parking facilities office opened when the number of students at the office will be at or below 1,500?

111 thirty dollars is to be divided among three girls and two boys so that each of the girls receives twice as much as each of the boys. how much does each receive?

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

In the diagram, gef and hef are congruent. what is the value of x