Your mp3 player contains a total of 374 pop, rock, and country songs in a playlist. the number of pop songs is four times the number of rock songs. the number of country songs is 32 more than the number of rock songs. how many of each type of songs does the playlist

57 rock songs

228 pop songs

89 country songs

Step-by-step explanation:

Total number of songs in the Playlist = 374 .

Let number of rock songs = x.

Then according to  the question ,

number of pop songs = 4x

number of country songs = x + 32

So,

x + 4x + x + 32 = 374              (As total number of songs Equals 374)

6x = 342

x = 57.

Now, number of rock songs = x = 57.

        number of pop songs = 4x = 228

        number of country songs = x + 32 = 89.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: