Michaela is planning a pizza party for 48 people. she has $200 to buy pizza and soda for the party. each 12-pack of soda can cost $5.00 , and each 8-slice pizza cost $8.00. micala wants to be fair and give each guest the same number of pizza slices and the same number of soda cans. using s for the 12-packs of soda and p for the 8-slice pizzas, which of the inequalities below can be used to describe her options? a. 200< 6p(8.00)+4s(5.00) b. 200< 6p(8.00)-4s(5.00) c. 200> 6p(8.00)-4s(5.00) d. 200> 6p(8.00)+4s(5.00)

multiply 6 by 8 and 4 by 5 and add them to get the total cost of the soda and pizza

D is the correct equation

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'.