To find the equivalent rate of deliveries per day from 294 deliveries per week, you need to divide the total number of deliveries by the number of days in a week.
There are 7 days in a week, so the calculation is as follows:
\[ \text{Deliveries per day} = \frac{\text{Total deliveries per week}}{\text{Number of days in a week}} = \frac{294}{7} \]
Calculating that:
\[ \text{Deliveries per day} = 42 \]
Therefore, the equivalent rate is 42 deliveries per day.