There are 1096 marbles in a bag. one of the marbles is to be randomly chosen from the bag. if the probability that a red marble will be selected is 5/8, how many red marbles are in a bag?

685 red marbles

Step-by-step explanation:

Lets set up a proportion:

x/1096 = 5/8

(For every 8 marbles, 5 of them are red)

Then we cross multiply

5480 = 8x

and divide!

so 685 marbles

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'.

doubled

step-by-step explanation: