The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack that weighs 6 pounds? 2.724 B. How many pounds is a cat that weighs 11 kilograms?

Respuesta :

Answer:

[tex]6\ lb = 2.724\ kg[/tex]

[tex]11\ kg = 24.2\ lb[/tex]

Step-by-step explanation:

Given

[tex]1\ kg = 2.2\ lb[/tex]

[tex]1\ lb = 0.454\ kg[/tex]

Required

- Convert 6 lb to kg

- Convert 11kg to lb

To solve for (a), we make use of the second conversion unit:

[tex]1\ lb = 0.454\ kg[/tex]

Multiply both sides by 6

[tex]6 * 1\ lb = 0.454\ kg * 6[/tex]

[tex]6\ lb = 2.724\ kg[/tex]

Hence, a 6lb backpack weighs 2.724kg

Solving (b): 11 kg to lb

Here, we make use of the first conversion unit

[tex]1\ kg = 2.2\ lb[/tex]

Multiply both sides by 11

[tex]11 * 1\ kg = 2.2\ lb * 11[/tex]

[tex]11\ kg = 24.2\ lb[/tex]

Hence, the cat weighs 24.2lb

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