Final answer:
The number of marbles per pack can be determined using the equation 6 * (4 1/2m + 2/3) = 629, which correctly accounts for the mass of each marble, the mass of the packaging, and the total number of packs to match the overall mass.
Step-by-step explanation:
To determine the number of marbles per pack when there are 666 packs of marbles weighing a total of 629g, we need an equation that accounts for both the mass of the packaging and the mass of the marbles. Given that the mass of the packaging for each pack is (2/3)g and each marble has a mass of 4 1/2g, the correct equation needs to include the number of marbles m per pack, the weight of each marble, and the weight of the packaging.
The correct equation is d) 6 * (4 1/2m + 2/3) = 629. This equation represents the total weight of the marbles and packaging for one pack of marbles multiplied by the number of packs, which equals the total mass of 629g. It includes 4 1/2g as the weight of each marble multiplied by the number of marbles m in a pack, adds the weight of the packaging, and then multiplies by the number of packs.