Question

section of a pipe's length and weight are in proportion. If 2.5 m of pipe weighs 10 kg, then A) 5 m of pipe weighs 30 kg. B) 5 m of pipe weighs 40 kg. C) 10 m of pipe weighs 40 kg. D) 10 m of pipe weighs 80 kg.

Answer 1

Answer:

10 m of pipe weighs 40 kg

Step-by-step explanation:

If 2.5 m of pipe weighs 10 kg, then 10 m of pipe weighs 40 kg.

A proportional relationship exists when two quantities always have the same size in relation to each other.

    2.5 /10  =  10 /40

Answer 2

We will proceed to resolve each case to determine the solution.

we know that

$2.5$ m of pipe weighs $10$ kg

so

by proportion

Find the weighs of each case

case A) $5$ m of pipe weighs $30$ kg

$\frac{10}{2.5}\frac{kg}{m}=\frac{x}{5}\frac{kg}{m}\\ \\2.5*x=5*10\\ \\x=50/2.5\\x=20\ kg$

$20\ kg\neq30\ kg$

therefore

The statement case A) is False

case B) $5$ m of pipe weighs $40$ kg

$\frac{10}{2.5}\frac{kg}{m}=\frac{x}{5}\frac{kg}{m}\\ \\2.5*x=5*10\\ \\x=50/2.5\\x=20\ kg$

$20\ kg\neq40\ kg$

therefore

The statement case B) is False

case C) $10$ m of pipe weighs $40$ kg

$\frac{10}{2.5}\frac{kg}{m}=\frac{x}{10}\frac{kg}{m}\\ \\2.5*x=10*10\\ \\x=100/2.5\\x=40\ kg$

$40\ kg=40\ kg$

therefore

The statement case C) is True

case D) $10$ m of pipe weighs $80$ kg

$\frac{10}{2.5}\frac{kg}{m}=\frac{x}{10}\frac{kg}{m}\\ \\2.5*x=10*10\\ \\x=100/2.5\\x=40\ kg$

$40\ kg\neq80\ kg$

therefore

The statement case D) is False

therefore

the answer is

$10$ m of pipe weighs $40$ kg