Angelica’s aunt gave her a $135 iTunes gift card. She spent $49.50 on movies, and wants to spend the rest on songs. If each song costs $1.35, how many songs can Angelica buy using only the money on the gift card? You MUST EXPLAIN how you solved the problem.

63

Step-by-step explanation:

Let the number of songs = "x".

She has $135 total. Each song costs $1.35. She also spent a constant price of $49.50 on movies. Set the equation:

1.35x + 49.50 = 135

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 49.50 from both sides:

1.35x + 49.50 (-49.50) = 135 (-49.50)

1.35x = 135 - 49.50

1.35x = 85.50

Next, divide 1.35 from both sides:

(1.35x)/1.35 = (85.50)/1.35

x = 85.50/1.35

x = ~63.33

However, note that you can't buy 1/3 of a song, so you must round down.

~63.33 rounded down is 63.

63 songs is your answer.

Please note, that even if you can round up, you should not in this case. A corporation will not sell you an item for less than the posted price.

~

is should be y = 5x

step-by-step explanation:

correct me if im wrong

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: