Answer: The greatest number of playlist Katherine can make =8
Each of playlist will have 4 pop songs and 9 rock songs.
Step-by-step explanation:
Given: The number of pop songs Katherine has= 32
The number of rock songs Katherine has= 72
If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.
We know that 
We can see the GCF(32,72)=
Hence, the greatest number of playlist Katherine can make =8
The number of pop songs= 
the number of rock songs=
Each of playlist will have 4 pop songs and 9 rock songs.
Answer:

Step-by-step explanation
We have given that equation of line a+4b=0
⇒4b= -a
⇒
slope of line = 
⇒
is negative therefore it lies into 4th quadrant
By, Pythagoras theorem 
by putting value of P= -1 & B=4
the value of
with the given condition 
i.e.
∈ (3π/2, 2π)
now, 
Answer:
71 1/4 pans of lasagna
Step-by-step explanation:
4 cans of tomato sauce = 1 pan of lasagna
285 cans of tomato sauce = x pan of lasagna
4 = 1
285 = x
Cross product
4*x = 285*1
4x = 285
x = 285/4
x = 71 1/4 pans of lasagna
The answer to this question is false that's the answer
Answer:
Step 3
Step-by-step explanation:
This is the right one because you are adding two thing in step two which lead to step 3