A 90 pound coil of cable is 300 feet long if a 30 foot length cable is cut off what is the weight of the remaining cable

Respuesta :

Answer: 81 pound.

Step-by-step explanation:

A 1 foot reel of cable weighs:

[tex]\displaystyle\\\frac{90}{300} =\frac{3}{10}\ \frac{pound}{foot} .[/tex]

A 30 foot reel of cable weighs:

[tex]\displaystyle\\\frac{3}{10}*30=\\\\\frac{90}{10} =\\\\9\ pound.[/tex]

The weight of the remaining cable is:

[tex]90-9=\\\\81 \ pound.[/tex]

Answer:

81 lb

Step-by-step explanation:

30 feet is 1/10 of the length.....9/10 of the length remains...so does 9/10 of the weight

9/10 * 90 lb = 81 lb