You have $30 to spend on downloading songs for your ipod. company a charges $0.79 per song and company b charges $0.99 per song. write an equation that models this situation

Let x = the number of songs you can buy.

If you use company A at 0.79 dollars per song, your variable is 0.79x. If you use company B at 0.99 dollars per song, your variable is 0.99x. You are going to set both equal to 30.

Company A: 0.79x = 30

Company B: 0.99x = 30

When solving (though I know you didn't ask), do note that you cannot buy part of a song so you would need to round down to the nearest whole number.

So if you use company A, you divide both sides by 0.79 to isolate the variable x and satisfy the division principle of equality:

x = 30/0.79.

Simplify and your answer is 37.97, round down to 37 songs; you'd have 37 songs with company A and 77 cents left over in your account just sitting there because what really can you do with 77 cents on the App Store?

The bathtub has dimensions 5 ft by 3 ft by 18 inches.
Note that 18 inches = 18/12 = 1.5 ft.

The volume of the bathtub is
V = 5*3*1.5 = 22.5 ft³

The bathtub is three-fourths (0.75) full of water. Therefore the volume of water is
0.75*22.5 = 16.875 ft³

The water is lost at the rate of 1 ft³/min.
If it takes x minutes to empty the bathtub, then
(1 ft³/min)*(x min) = (16.875 ft³)
x = 16.875 min

16.875 minutes