Question

A two-foot length of an industrial cable weighs 15 pounds. How many ounces would a 5 inch length of the cable weigh? Round to the nearest tenth of an ounce, if necessary.

Options:
A) 0.4 ounces
B) 0.6 ounces
C) 0.8 ounces
D) 1.0 ounces

Answer 1

To find the weight of a 5 inch length of the cable, you can set up a proportion using the given weight of a 2-foot length. Then, convert the weight in pounds to ounces by multiplying by 16. Rounded to the nearest tenth of an ounce, the weight of a 5 inch length of the cable would be approximately 50 ounces.

Step-by-step explanation:

To find the weight of a 5 inch length of the cable, we need to first find the weight of a 2-foot length of the cable. We are given that a 2-foot length of the cable weighs 15 pounds. We can set up a proportion to find the weight of a 5 inch length:

2 feet = 24 inches

15 pounds = x pounds

Using cross multiplication, we can solve for x:

24x = 15 * 5

x = 15 * 5 / 24

x ≈ 3.125 pounds

Finally, we can convert pounds to ounces. Since there are 16 ounces in a pound, we can multiply the weight in pounds by 16:

3.125 pounds * 16 ounces = 50 ounces

Rounded to the nearest tenth of an ounce, a 5 inch length of the cable would weigh approximately 50 ounces.