The following statement describes the number of marbles, n, in a bag. ten less than eight times the number of marbles is greater than or equal to the sum of six times the number of marbles and fourteen. create an inequality to represent this statement, and solve for n. then, complete the following sentences about the solution.

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?