Final answer:
Kayden has two rolls of rope measuring 3.5 m and 3.3 m, respectively. To make a 5 m long rope, Kayden can use the 3.5 m roll and an additional 1.5 m from the second roll. If the length is doubled, a 10 m rope is made by combining the full 7 m (double of the first roll) with 3 m from the 6.6 m (double of the second roll).
Step-by-step explanation:
The student Kayden has two rolls of rope. The first roll measures 2 85/10 m (which simplifies to 3.5 m) long and the second roll measures 2 63/10 m (which simplifies to 3.3 m) long. To make a 5 m long piece of rope, the student would need to use the first roll of 3.5 m and then cut a 1.5 m piece from the second roll of 3.3 m, since 3.5 m + 1.5 m gives us exactly 5 m.
If twice the length of nylon rope is used, then the first roll would become 7 m and the second roll 6.6 m. To create a piece that is twice the length of 5 m, which is 10 m, Kayden can use the full length of the 7 m roll and add a 3 m segment from the 6.6 m roll. This 3 m segment, when added to the 7 m piece, will give a total of 10 m.