-2(3x - 15) - 25 = 35
-6x + 30 - 25 = 35
-6x + 5 = 35
-6x = 30
x = -5
Therefore, x = -5.
-6x + 30 - 25 = 35
-6x + 5 = 35
-6x = 30
x = -5
Therefore, x = -5.
Subtract 10x from both sides:
2x + 5 = -11
Subtract 5 from both sides:
2x = -16
Divide by 2 on both sides:
x = -8
Therefore, x = -8.
The total listens on the first song after x days will be: 1000 + 38x
The total listens on the second song after x days will be: 900 + 40x
Equating the two expressions to find when they have the same number of listens:
1000 + 38x = 900 + 40x
Subtract 900 from both sides:
100 + 38x = 40x
Subtract 38x from both sides:
100 = 2x
Divide by 2 on both sides:
x = 50
Therefore, it would take 50 days for the two songs to have the same number of listens.
For the first option: $10 per visit
Total cost for x visits = 10x
For the second option: $30 to sign up for the month and $6 per visit
Total cost for x visits = 30 + 6x
We want to find when the two plans are equal in cost:
10x = 30 + 6x
Subtract 6x from both sides:
4x = 30
Divide by 4 on both sides:
x = 7.5
Since x represents the number of visits, we cannot have a fractional number of visits. This means that the plans are equal after 8 visits.
Therefore, it would take 8 visits for the two plans to be equal in cost.
The total listens on the first song after x days will be: 700 + 52x
The total listens on the second song after x days will be: 600 + 56x
Equating the two expressions to find when they have the same number of listens:
700 + 52x = 600 + 56x
Subtract 600 from both sides:
100 + 52x = 56x
Subtract 52x from both sides:
100 = 4x
Divide by 4 on both sides:
x = 25
Therefore, it would take 25 days for the two songs to have the same number of listens.