Aschool fair ticket costs $8 per adult and $1 per child. on a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100.

which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers?

20 children and 10 adults
equation 1: a + c = 30
equation 2: 8a + c = 100

10 children and 20 adults
equation 1: a + c = 30
equation 2: 8a − c = 100

10 children and 20 adults
equation 1: a + c = 30
equation 2: 8a + c = 100

20 children and 10 adults
equation 1: a + c = 30
equation 2: 8a − c = 100

(08.01)consider the following pair of equations: x + y = −2 y = 2x + 10 if the two equations are graphed, at what point do the lines representing the two equations intersect? (−4, 2) (4, 2) (−2, 4) (2, 4)

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

What is the absolute value of the complex number -4-sqrt2i