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3 years ago

How many times does 5 go into 2565?

Mathematics

1 answer:

Andreyy893 years ago

8 0

5 goes into 2565...... 513 times because 2656 divided by 5 equals 513 2565 / 5 = 513

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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 $\bf p=\cfrac{k}{(q-2)^3}$

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A bag contains 105 red and blue marbles. The ratio of red to blue marbles is 2:5. How many red marbles are in the bag?

V125BC [204]

Answer:

30 red marbles

Step-by-step explanation:

If the ratio is 2 red marbles for every 5 blue marbles then you would add them together to find out how many marbles are in one group.

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Now we have to find out how many total groups there are by dividing the total amount of marbles by the amount in each group.

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