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monitta
3 years ago
15

universal set={members of an expedition to the South pole},A={people born in Africa},C={people born in China},F={females} Amber

intersect A union C What can we say about Amber?​
Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

Amber is fossilized tree resin that has been appreciated for its color and natural beauty since Neolithic times. ... There are five classes of amber, defined on the basis of their chemical constituents. Because it originates as a soft, sticky tree resin, amber sometimes contains animal and plant material as inclusions.

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If y varies directly as (x+3) and inversely as (x-3) and y=21 when x=4, what is the equation for y in terms of x?
igor_vitrenko [27]
\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\

\bf \textit{\underline{y} varies directly as (x+3) and inversely as (x-3)}\implies y=\cfrac{k(x+3)}{x-3}
\\\\\\
\textit{we also know that }
\begin{cases}
y=21\\
x=4
\end{cases}\implies 21=\cfrac{k(4+3)}{4-3}\implies 21=\cfrac{k(7)}{1}
\\\\\\
\cfrac{21}{7}=k\implies 3=k\qquad thus\qquad \qquad \boxed{y=\cfrac{3(x+3)}{x-3}}
6 0
3 years ago
You are making costumes for a play. You have sewn 9 costumes. If you are 30% finished, how many costumes are you sewing?
Veseljchak [2.6K]

here's the solution : -

if i made 9 costumes and it is 30 % of total costumes, so lets take the total number of costumes as <u>x</u><u> </u>

so, by above statement we get,

\frac{30}{100}  \times x = 9

=》

x = 9 \times  \frac{100}{30}

=》

x = 30

so, total number of costumes = 30 costumes.

4 0
2 years ago
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