A spa charges $125 for a one hour massage and $250 for a
pedicure + 90-minute massage package. One day, the spa had
27 customers and made $5,250.
How many massages, x, and pedicure + 90-minute massage
packages, y, did the spa perform? Express your answer as an
ordered pair (x, y).
Enter the answer

Let x represent number of massages and y represent number of pedicure + 90-minute massage packages.

We have been given that a spa charges $125 for a one hour massage, so amount earned from x massages would be .

The spa charges $250 for a pedicure + 90-minute massage package, so amount earned from y pedicure + 90-minute massages will be .

We have been given that one day the spa had 27 customers. We can represent this information in an equation as:

Since spa made $5,250, so amount earned from both massages would be equal to 5,250. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:

Let us solve for x.

Upon substituting in equation (1), we will get:

Therefore, the spa performed 12 one hour massages and 15 pedicure + 90-minute massage  packages that is .

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:

the balance is found at the link

step-by-step explanation: