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

10 m of pipe weighs 40 kg

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

`(10)/(2.5)(kg)/(m)=(x)/(5)(kg)/(m)\\ \\2.5*x=5*10\\ \\x=50/2.5\\x=20\ kg`

`20\ kg\\eq30\ kg`

therefore

The statement case A) is False

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

`(10)/(2.5)(kg)/(m)=(x)/(5)(kg)/(m)\\ \\2.5*x=5*10\\ \\x=50/2.5\\x=20\ kg`

`20\ kg\\eq40\ kg`

therefore

The statement case B) is False

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

`(10)/(2.5)(kg)/(m)=(x)/(10)(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

`(10)/(2.5)(kg)/(m)=(x)/(10)(kg)/(m)\\ \\2.5*x=10*10\\ \\x=100/2.5\\x=40\ kg`

`40\ kg\\eq80\ kg`

therefore

The statement case D) is False

therefore

the answer is

`10` m of pipe weighs
`40` kg