write an equation to convert a diamond's weight in carats to its weight in milligrams be sure to define your variables

Mathematics · High School · Tue Nov 03 2020

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The equation to convert a diamond's weight in carats to its weight in milligrams can be expressed as follows:

\[ \text{Weight in milligrams} = \text{Weight in carats} \times 200 \]

In this equation:

- \(\text{Weight in milligrams}\) is the weight of the diamond in milligrams.

- \(\text{Weight in carats}\) is the weight of the diamond in carats.

The factor of 200 comes from the conversion factor between carats and milligrams. One carat is equivalent to 200 milligrams. Therefore, to convert from carats to milligrams, you multiply the weight in carats by 200.