Alocal museum charges $25 per adult and $12 per child for admission fees. at the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests. the system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y. first, place a point on the graph representing the solution to the system of equations. notice that one of the equations in the system has already been graphed. then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.

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.

The box plots show the average speeds, in miles per hour, for the race cars in two different races. which correctly describes the consistency of the speeds of the cars in the two races?

50 points and will mark brainlest if you were constructing a triangular frame, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a triangle? would you be able to create a frame from these pieces of wood? yes or no? = explain your mathematical thinking: