ashishshrestha473 ashishshrestha473
  • 03-11-2019
  • Mathematics
contestada

If 22.5 metre of a uniform iron rod weight 85.5 kg , what will be the length of 22.8 kg of the same rod?​

Respuesta :

cinderofsoulsss
cinderofsoulsss cinderofsoulsss
  • 03-11-2019

Answer:

6 meters

Step-by-step explanation:

You need to find the rate of kilograms per meter.

Using the given information, there are 85.5 kilograms in 22.5 meters.

[tex]\frac{85.5}{22.5}[/tex]

simplify to a denominator of 1:

[tex]\frac{85.5}{22.5}[/tex] = [tex]\frac{3.8}{1}[/tex]

3.8 kilograms per meter.

Now you can write an equation:

3.8 × L = K, where L is length and K is weight in kilograms

Weight is given: 22.8kg

Plug in length for K in the equation:

3.8 × L = 22.8

Solve for L:

L = [tex]\frac{22.8}{3.8}[/tex]

L = 6

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