Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co- workers. Sam buys a case of water that contains 36 bottles and sells three times as man bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?

6 bottles

Step-by-step explanation:

Given the following :

SYLVIA:

Case of water = 24 bottles

Number of bottles sold = x

SAM:

case of water = 36 bottles

Number of bottles sold = 3x

Number of bottles left after sales are the same ;

Number of bottles left :

24 - x = 36 - 3x

Then solve for x

-x + 3x = 36 - 24

2x = 12

x = 12/2

x = 6

Hence, Sylvia sold 6 bottles of water.

expression #3 is not equivalent. the others are.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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