Mathematics, 11.12.2019 09:31 tydukes10

two third piece a weights 15g find what traction
weights 20g

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Answer from: heavenwagner

the $\frac{8}{9}$ of piece a weight is 20g.

Step-by-step explanation:

Let x be the fraction of weight for 20g..

and m be the weight of piece.

Given:

Two third piece a weights is 15g .

That means

$\frac{2}{3}\times m =15g$

$\frac{2}{3}\times m =15$

$m=\frac{15\times 3}{2}$

$m =\frac{45}{2}$

m = 22.5

So, the weight of the piece is 22.5g.

Find what fraction for 20g

fraction of weight $\times m = 20g$

Put weight of piece in above equation.

fraction of weight $\times 22.5 = 20$

fraction of weight $=\frac{20}{22.5}$

fraction of weight $=\frac{8}{9}$

Therefore, the $\frac{8}{9}$ of piece a weight is 20g.

Answer from: Quest

What are the options for plato

Answer from: Quest

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: