A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket? 2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a =
c =

a=8

c=5.5

Step-by-step explanation:

solve simultaneously:

2a + 4c = 38.00

3a + 3c = 40.50

times the first eq. by 3 and the second by 2

6a + 12c = 114

6a +6c = 81

subtract from one another

6a + 12c = 114

-6a +6c = 81

6c = 33

c=5.5

3a + 3x5.5 = 40.50

3a= 24

a=8

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

source:

huh? im pretty sure it is in 199

step-by-step explanation: