An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. dominic noticed that the shelter spent $175.00 caring for birds and cats on monday. dominic found a record showing that there were a total of 22 birds and cats on monday. how many birds were at the shelter on monday?

Step-by-step explanation:

4.5b + 8.5c = 175

b + c = 22b = 22 - c

4.5(22 - c) + 8.5c = 175

99 - 4.5c + 8.5c = 175

-4.5c + 8.5c = 175 - 99

4c = 76

c = 76/4

c = 19there are 19 cats

b + c = 22

b + 19 = 22

b = 22 - 19

b = 3 < there are 3 birds

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'.