You download a digital album for $10. then you and your friend download the same number of individual songs for $0.99 each. write a system of linear equations that represents this situation. let x represent the number of individual songs downloaded and y represent the total cost. system of equations:
y=
y=

y=10.99x ,x>0, y>0

Step-by-step explanation:

Let x represent the number of individual songs downloaded and y represent the total cost.

The cost of digital album = $10

After that the cost of each song =$0.99

Then the cost of individual songs = 0.99x

Now, the total cost y=10+0.99x  and x>0 , y>0

Therefore, the required system of linear equations are

y=10+0.99x  

x>0

y>0

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west