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3 years ago

Which is a valid proportion? 3/4=21/28 5/6=29/30 4/7=16/49 2/5=12/15

Mathematics

2 answers:

zavuch27 [327]3 years ago

7 0

Answer:

A valid proportion would be 3/4=21/28.

Step-by-step explanation:

You would multiply both the 3 & 4 is 3/4 by 7 to get 21/28.

jasenka [17]3 years ago

5 0

Answer:

3/4=21/28

Step-by-step explanation:

This is because 3×7=21 and 4×7=28

Both numbers in the original fraction must be multiplied by the same number to get the equivalent fraction.

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P is inversely proportional to the cube of (q-2) p=6 when q=3 find the value of p when q is 5

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$\bf \begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}\\\\
-----------------------------\\\\
\textit{p is inversely proportional to the cube of (q-2)}\implies p=\cfrac{k}{(q-2)^3}
\\\\\\
now \quad 
\begin{cases}
p=6\\
q=3
\end{cases}\implies 6=\cfrac{k}{(3-2)^3}$

solve for "k", to find k or the "constant of variation"

then plug k's value back to $\bf p=\cfrac{k}{(q-2)^3}$

now.... what is "p" when q = 5? well, just set "q" to 5 on the right-hand-side, and simplify, to see what "p" is

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3 years ago