Lawrence has 10 coins in his pocket. one coin is a quarter, and the others are all nickels or dimes. the coins are worth 90 cents. how many nickels and dimes does lawrence having his pocket?

10-1 = 9 dimes and nickels

0.90 - 0.25 = 0.65 worth

N + d = 9

N=9-d

0.05N + 0.10D = 0.65

0.05(9-d) +0.10d = 0.65

0.45 - 0.05d +0.1d = 0.65

0.45 +0.05d = 0.65

0.05d = 0.20

d = 0.20/0.05

d = 4

 4 dimes and 5 nickels

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'.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !