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katrin2010 [14]
3 years ago
14

How much water do you add...

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x

Hence, 36.67 grams of water is added.

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aniked [119]

Definition 1: A relation is any subset of a Cartesian product. For instance, a subset of A\times B, called a "binary relation from A to B," is a collection of ordered pairs (a,b) with first components from A and second components from B, and, in particular, a subset of A\times A is called a "relation on A."

Definition 2: A function is a relation that associates each element x of a set X to a single element y of another set Y (possibly the same set). A function is uniquely represented by its graph which is the set of all ordered pairs (x, f (x)).

From these definitions you can see that every function is a relation from X to Y, but not via versa (because you can consider relation \{1\}\times \{2,3\} - here for one x exist two y).

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3 years ago
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3 years ago
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Hello!

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