Problem PageQuestion The Russell family and the Gonzalez family each used their sprinklers last summer. The water output rate for the Russell family's sprinkler was 35L per hour. The water output rate for the Gonzalez family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 60 hours, resulting in a total water output of 2200L. How long was each sprinkler used?

the Russell family used their sprinkler for 40 hours.

the Gonzalez family used their sprinkler for 20 hours.

Step-by-step explanation:

Let x represent the number of hours for which the Russell family used their sprinkler.

Let y represent the number of hours for which the Gonzalez family used their sprinkler.

The families used their sprinklers for a combined total of 60 hours. It means that

x + y = 60

The water output rate for the Russell family's sprinkler was 35L per hour. The water output rate for the Gonzalez family's sprinkler was 40L per hour. The total water output of both families was 2200L. It means that

35x + 40y = 2200- - - - - - - - - - --1

Substituting x = 60 - y into equation 1, it becomes.

35(60 - y) + 40y = 2200

2100 - 35y + 40y = 2200

- 35y + 40y = 2200 - 2100

5y = 100

y = 100/5

y = 20

x = 60 - y = 60 - 20

x = 40

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'.

what graph

step-by-step explanation: