My little brother spent $53 on comic books and magazines. He bought 17 items. If comic books cost $4 and magazines cost $3, how many of each item did my brother buy?

My little brother spent $53 on comic books and magazines. He bought 17 items. If comic books cost $4 and magazines cost $3, how many of each item did my brother buy?

Step-by-step explanation:

comic books = 2

magazines = 15

Step-by-step explanation:

Let c = number of comic books bought

Let m = number of magazines bought

He bought 17 items, so

c + m = 17

Comic books cost $4 each and magazines cost $3 each.

He spent $53 on comic books and magazines, so

4c + 3m = 53

Rearrange c + m = 17 to make m the subject:

m = 17 - c

Substitute  m = 17 - c  into  4c + 3m = 53  and solve for c:

4c + 3(17 - c) = 53

⇒ 4c + 51 - 3c = 53

⇒ c = 2

Substitute c = 2  into m = 17 - c to and solve for m:

m = 17 - 2 = 15

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:

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x