To solve this problem, we need to determine the value of x, which represents the mileage per week for the second half of the year.
For the first half of the year, Nicki ran a total of 20 miles per week. Therefore, she ran 20 * 26 (number of weeks in half a year) = 520 miles.
For the second half of the year, she increased the mileage to x miles per week. Therefore, she ran x * 26 miles.
The total mileage for the year is 1300 miles.
We can set up the equation as follows:
Mileage for the first half of the year + Mileage for the second half of the year = Total mileage for the year
520 + x * 26 = 1300
Let's simplify and solve for x:
520 + 26x = 1300
To isolate x, we subtract 520 from both sides of the equation:
520 + 26x - 520 = 1300 - 520
26x = 780
To solve for x, we divide both sides of the equation by 26:
x = 780 / 26
x = 30
The value of x is 30.
#### 30
The answer is: 30
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Nicki spent the last year running a lot. For the first half of the year, she ran a total of 20 miles per week. For the second half of the year, she increased the mileage to x miles per week. She ran 1300 miles total for the year.

### Answer:
