Allysa spent $35 to purchase 12 chickens . she bought two different types of chickens. americana chickens cost $3.75 each and delaware chickens cost $2.50 each

Step-by-step explanation:

Let x represent the number of Americana chickens that she bought.

Let y represent the number of Delaware chickens that she bought.

She bought a a total of 15 chickens.

This means that

x + y = 12

Americana chickens cost $3.75 each and Delaware chickens cost $2.50 each. The total amount that she spent was $35. It means that

3.75x + 2.5y = 35 - - - - - - - - - - 1

Substituting x = 12 - y into equation 1, it becomes

3.75(12 - y) + 2.5y = 35

45 - 3.75y + 2.5y = 35

- 3.75y + 2.5y = 35 - 45

- 1.25y = - 10

y = - 10/- 1.25

y = 8

x = 12 - y = 12 - 8

x = 4

She bought 4 Americana chickens and 8 Delaware chickens.

Each Americana chicken lays 2 eggs per day and each Delaware chicken lays 1 egg per day. This means that total number of eggs laid in a week would be

(4 × 2 + 8 × 1)7

= 112 eggs

Number of dozens of eggs gotten is

112/12 = 9.33

If each dozen costs $2.5, then the total amount of money she expects to take in at the end of the first week with her 12 chickens would be

9 × 2.5 = $22.5

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'.

6 and 24

step-by-step explanation:

6 x 4 = 24