Brenda and Melissa each have a band. Brenda's band plays songs in sets of 4 and Melissa's band plays songs in sets of 6. After performing together, both bands realize that they have played the same number of songs. What is the smallest number of songs each band could have performed?

12 songs

Step-by-step explanation:

Brenda's band plays songs in sets of 4

Melissa's band plays songs in sets of 6.

After performing together, both bands realize that they have played the same number of songs.

What is the smallest number of songs each band could have performed?

The smallest number of songs each band could have performed can be calculated by finding the lowest common multiple of 4 and 6

4 = 8, 12, 16, 20, 24, 28, 32, 36, 40

6 = 12, 18, 24, 30, 36, 42

The lowest common multiple of 4 and 6 is 12

The smallest number of songs each band could have performed is 12 dongs

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

linear pair postulates