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irga5000 [103]
3 years 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:
iris [78.8K]3 years ago
7 0

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


Step-by-step explanation: Given that a glass bottle is filled with oil weighs 590 grams. After that, Sophia uses 200 millilitres of oil and then the bottle weighs 400 grams.

Therefore, the weight of the oil that Sophia uses = 590 - 400 = 190 grams.

That is, 190 grams = 200 millilitres, so

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

So, the relation between the weight 'M' of the bottle of oil, in grams, is a function of 'V', the volume of oil Sophia used is given by

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


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  A = (1/2)bh = (1/2)(2 m)(5 m) = 5 m²

The rectangle has area ...

  A = bh = (2 m)(5 m) = 10 m²

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The kite has been broken into two triangles, so the area of each of them is ...

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3 years ago
A local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday. There were 64 fewer cheeseburgers sold
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375 hamburgers were sold on Wednesday

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Let "h" be the number of hamburgers sold

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Given that local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday

Therefore,

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h + c = 686 ------- eqn 1

There were 64 fewer cheeseburgers sold than hamburgers

Number of cheeseburgers sold = number of hamburgers sold - 64

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Substitute eqn 2 in eqn 1

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