A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3700 seats. The students filled 52% of the seats in the theater. How many 6th graders went on the trip?

1924

Step-by-step explanation:

Number if seats in the theater = 3700

Percentage of seats filled by students in the theater = 52%

The number of 6th graders that went on the trip will be gotten by multiplying 52% by 3700. This will be:

= 52% × 3700

= 52/100 × 3700

= 0.52 × 3700

= 1924

1924 students went on the trip

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3