Total static-budget variances = activity-level variances + flexible-budget variances.

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This statement is true. The static budget variance is the difference between the actual results and the original budget. This variance can be broken down into two components: the activity-level variance, which measures the impact of changes in activity levels on the budget, and the flexible-budget variance, which measures the impact of changes in sales levels on the budget. Therefore, the total static-budget variance can be calculated by adding these two variances together.

Total Static-Budget Variances = Activity-Level Variances + Flexible-Budget Variances