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Shkiper50
1 month ago
7

A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle weighs 400 grams. The weig

ht M of the bottle of oil, in grams, is a function of V, the volume, in milliliters, of oil Sophia has used. Write the function’s formula. M=__
Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
7 0

Answer: The result is M=590-\dfrac{19}{20}V.


Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.

Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.

This means that 190 grams corresponds to 200 milliliters, thus

1~\textup{ ml}=\dfrac{190}{200}~\textup{grams},\\\\\textup{V ml}=\dfrac{19}{20}\textup{V}~\textup{grams}.

The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as

\textup{M}=590-\dfrac{19}{20}\textup{V}.


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