Mathematics, 24.09.2019 14:00 rallen1158

Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into playlists. she wants to put an equal number of pop songs and an equal number of rock songs into each playlist. each song will go into only one playlist.

Answers: 1

Show answers

Answers

The Greatest Common Factor:
GCF ( 32, 72 ) = 8
32 : 8 = 4
72 : 8 = 9

There will be 4 pop songs and 9 rock songs into each playlist.

Answer from: ttkkbffl

Katherine will make a total of 8 playlists. Each playlist will contain 4 pop songs and 9 rock songs.

Step-by-step explanation:

The greatest common factor (GCF) is the greatest integer, common to all, that allows to divide them exactly to all. Or put another way, it is the greatest common divisor to all those numbers.

One way to calculate this value is to obtain all the numbers that are raised, their divisors. The highest divisor that is repeated in all numbers is the Greatest Common Factor.

To be able to distribute the 32 pop songs and 72 rock songs in smaller playlists with the same number of songs of each genre, you must choose a number that is 32 and 72 divisor. As the capacity of all playlists has to be the same , you choose between the divisors of 32 and those of 72 (common divisor). That is, you are calculating the greatest common factor.

You should keep in mind that you must choose the common divisor that is maximum so that the playlists contain as many songs as possible.

The divisors of 32 are 1, 2, 4, 8, 16 and 32.

The divisors of 1, 2, 3, 4, 6, 8, 9,12, 18, 24, 36 and 72.

You can see that the GCF is 8. This means that Katherine will make a total of 8 playlists.

To obtain the quantity of songs of each genre you divide the total of each genre by that factor in common:

Pop songs 32÷8=4

Rock songs 72÷8=9

Then, each playlist will contain 4 pop songs and 9 rock songs.

Another way to find the GCF is to first find the prime factors of each number:

32 = 2 * 2 * 2 * 2 * 2

72 = 2 * 2 * 2 * 3 * 3

Then, you identify the prime factors that both numbers have in common and multiply them. In this case, 2 is a prime factor that appears in both numbers, and that appears multiplied 3 times. So the GCF is 2*2*2, or 2³, which results in 8.

Answer from: Quest

42.4

step-by-step explanation:

convert to decimal

Answer from: Quest

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 21:30, muncyemily

Which of the following shows the length of the third side, in inches, of the triangle below

Answers: 2

continue

Mathematics, 22.06.2019 01:00, kam110800

1) your friend taylor missed class today and needs some identifying solutions of systems. explain to taylor where to find the solution(s) of any system using its graph 2)taylor graphs the following in desmos and decides that f(x) = g(x) at x = 0, x = 1, & x = 3. f(x) = 2x+1g(x) = 2x2+1 provide taylor some feedback that explains which part of the answer was incorrect and why.

Answers: 1

continue

Mathematics, 22.06.2019 02:00, dilaydi1212

Given that s is the centroid of triangle mno, find sq.

Answers: 1

continue

Mathematics, 22.06.2019 02:30, moonk7733

The price of a visit to the dentist is \$50$50. if the dentist fills any cavities, an additional charge of \$100$100 per cavity gets added to the bill. if the dentist finds nn cavities, what will the cost of the visit be?

Answers: 2

continue

You know the right answer?

Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into play...