Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and
senior citizen tickets cost $4.00. She spent a total of $76. Which system
of equations will determine the number of adult tickets, a, and the
number of senior citizen tickets, s, Beth purchased?
A. a + s = 15
10as = 76
B. a + s = 15
6a + 4s = 76
C. a + s = 15
4a + 6s = 76
D. a + s = 15
a + s = 76
E. a + s = 76
6a + 4s = 15

  B. a + s = 15

     6a + 4s = 76

Step-by-step explanation:

The two equations you want to write are for the two resources, tickets and dollars. We want to know the numbers of adult and senior tickets, so we assign the variables "a" and "s" to those numbers, respectively. We need to keep the meaning of these variables in mind as we write the equations.

  a + s = 15 . . . . the sum of the numbers of tickets is 15 (resource = tickets)

The amount spent for tickets of a given type will be the number of tickets of that type, multiplied by the cost of tickets of that type. Then 6a represents the amount spent on adult tickets ($6 each for "a" number of tickets).

  6a +4s = 76 . . . the total amount Beth spent on tickets (resource = dollars)

In summary, the two equations are ...

Beth bought 8 adult tickets and 7 senior tickets.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.