The proportion pop/total = 5/7 is presumed to hold for the next 500 songs.
pop/500 = 5/7
pop = 500*5/7 ≈ 357
357 of the next 500 songs downloaded are expected to be pop songs.
Answer:
Step-by-step explanation:
First equation
x + y ≥ 10
Second equation
5.50x + 3y ≤ 45
a possible soution can be
x = 4 and y= 6
Answer:
or 
Step-by-step explanation:
Step 1: Factor left side of equation: 
Step 2: Set factors equal to 0:
or 
Get your answer:
or 
Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:

Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!
Answer: you can use Photomath
Step-by-step explanation: