6. roy hit 3 less than 4 times the number of balls during baseball practice than joe did. together the boys hit 52 balls. how many balls did joe hit?

11

Step-by-step explanation:

Had Roy hit 3 more balls, their total would be 55. Divided in the ratio 1:4, that is 11 : 44. So, Joe hit 11 balls and Roy hit 44-3 = 41 balls.

We could write an equation with j representing the number of balls Joe hit. Then Roy hit (52-j) balls, and the problem statement tells us the relationship is ...

... (52-j) = 4j-3

... 55 =5j . . . . . . add 3+j

... 11 = j . . . . . . . divide by 5

Joe hit 11 balls.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

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'.