There are 90 fifth-grade students going on a field trip. each student gives the teacher $9.25 to cover admission to the theater and for lunch. admission for all of the students will cost $315, and each student will get an equal amount to spend on lunch. how much will each fifth grader get to spend on lunch?

There are 90 fifth-graders, and each student gives the teacher $9.25.

9.25 × 90 = 832.5

They gave a total of $832.50 to the teacher.

Admission for all of the students will cost $315

832.50 - 315 = 517.5

They have $517.50 left over for lunch.

Each student will get an equal amount of $ to spend on lunch.

517.50 ÷ 90 = 5.75

Each student will get $5.75.

john earns $14.00 for two hours of work.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.