Casey buys a bracelet. she pays for the bracelet and pays $0.72 in sales tax. the sales tax rate is 6%.

Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%, percent.  What is the original price of the bracelet, before tax?

Original price of the bracelet before tax is $ 12

Given that,

Casey pays $ 0.72 in sales tax

sales tax rate is 6 %

To find: original price of the bracelet, before tax

Let "a" be the original price of the bracelet before tax

Case has paid $ 0.72 in sales tax and sales tax rate is 6 % which means casey has paid 6 % of original price as sales tax rate

sales tax rate = 6 % of original price

sales tax rate = 6 % of "a"

Thus original price of the bracelet before tax is $ 12

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'.