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.

We will proceed to resolve each case to determine the solution.we know that[tex]2.5[/tex] m of pipe weighs [tex]10[/tex] kgso by proportionFind the weighs of each casecase A) [tex]5[/tex] m of pipe weighs [tex]30[/tex] kg[tex]\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[/tex][tex]20\ kg\neq30\ kg[/tex]thereforeThe statement case A) is Falsecase B) [tex]5[/tex] m of pipe weighs [tex]40[/tex] kg[tex]\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[/tex][tex]20\ kg\neq40\ kg[/tex]thereforeThe statement case B) is Falsecase C) [tex]10[/tex] m of pipe weighs [tex]40[/tex] kg[tex]\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[/tex][tex]40\ kg=40\ kg[/tex]thereforeThe statement case C) is Truecase D) [tex]10[/tex] m of pipe weighs [tex]80[/tex] kg[tex]\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[/tex][tex]40\ kg\neq80\ kg[/tex]thereforeThe statement case D) is Falsethereforethe answer is[tex]10[/tex] m of pipe weighs [tex]40[/tex] kg