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.
When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.
Then you subtract 5 on both sides because of the opposite of addition is subtraction.
6=-2x
now divide on both sides
x=-3
Answer:
C) 4x^2 -8x +4[/tex]
Step-by-step explanation:
(-2x+2)^2
we apply (a+b)^2 formula

a= -2x and b= 2
Replace 'a' with -2x and 'b' with 2

(-2x)^2 is 4x^2

option C is the answer


Therefore, (1/7)³ = 1/343, implying that the answer is option (D).
Hope it helps. :)
Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.
<h3>What is the exchange rate of puzzles for puppets?</h3>
The exchange rate of puzzles for puppets is 3 to 1.
Geppeto has 20 puppets to exchange for puzzles.
Lewis has 50 puzzles to exchange for puppets.
Number of times Lewis can exchange puzzles for puppets = 50/3 = 16 times.
Lewis will get 16 puppets in exchange for 48 puzzles.
Therefore;
Lewis will have 16 + 25 puppets = 31 puppets and 2 puzzles left over
Geppeto will have 48 + 100 puzzles = 158 puzzles and 4 puppets left over.
in conclusion, the exchange rate determines the how many puzzles and puppets will each one have after they complete their trade.
Learn more about exchange rate at: brainly.com/question/2202418
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