Dispensing containers are taught which are strengthened by applying tape at certain locations of the containers. A dispensing container for housing and sequentially dispensing packets is taught. Also taught are the carton blanks for erecting the respective containers. A length of packets created by severably attaching sequential packets along respective tear lines is rolled or folded then positioned within the container for later dispensing. Child-resistance features that impede removal of each packet include routing the length of packets between opposing panels or between opposing panels and an edge of folded panels that exert a lateral pressure on the packets. In some embodiments the panels include apertures that catch or otherwise engage a feature of a packet, such as a blister, to further impede removal of each packet. To further impede removal of a packet, access notches that allow the user to grasp the packet are narrowly constructed. Also taught are dispensing containers with sleeves adapted to receive slidable trays therein. Reinforcing tape may be applied to the containers.