There are 104 students in class 9 and 96 students in class 10 in school. In an examination the students are to be seated in parallel rows such that no two adjacent rows are of the same class. a) Find the maximum number of parallel rows of each for the seating arrangements .b)Find the number of students of class 9th and class 10th in a row.

Step-by-step explanation:

First let’s calculate the greatest common factor GCF of 104 and 96

104÷2=52

52÷2=26

26÷2=13

13÷13=1

then 104 = 2³×13

96÷2=48

48÷2=24

24÷2=12

12÷2=6

6÷2=3

3÷3=1

then 96 = 2⁵×3

104 = 2³×13

96 = 2⁵×3

then GCF(104 , 96) = 2³ = 8

a) the maximum number of parallel rows for class 9 is 104/8 = 13

   the maximum number of parallel rows for class 10 is 96/8 = 12

b) the number of students of class 9th and class 10th in a row is 8

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

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'.