Question

The center bead of a pearl necklace has a 16 millimeter diameter. Each successive bead in each direction is 3/4 the diameter of the previous one. Find the diameter of the beads that are three away from the center bead.

a. 12 millimeters
b. 9 millimeters
c. 6.75 millimeters
d. 4.5 millimeters

Answer 1

To find the diameter of the beads that are three away from the center bead, multiply the diameter of the center bead by (3/4) three times.

Step-by-step explanation:

To find the diameter of the beads that are three away from the center bead, we need to first determine the diameter of each successive bead. We are given that each bead is 3/4 the diameter of the previous one. Starting with the center bead with a diameter of 16 millimeters, we can find the diameter of the third bead by multiplying the diameter of the center bead by (3/4) three times:

1. Diameter of center bead = 16 millimeters
2. Diameter of first bead = (3/4) * 16 millimeters = 12 millimeters
3. Diameter of second bead = (3/4) * 12 millimeters = 9 millimeters
4. Diameter of third bead = (3/4) * 9 millimeters = 6.75 millimeters

Thus, the diameter of the beads that are three away from the center bead is 6.75 millimeters.