Question

Brian is creating a collage on a piece of cardboard that has an area of 150r2 square centimeters. The collage is covered entirely by pieces of paper that do not overlap. Each piece has an area of radical(r^3) square centimeters. Use the given information to determine an expression for the total number of pieces of paper used. - HELP

Answer 1

this one?

Answer 2

yeah

Answer 3

looks like we need to determine how many peices of \(\sqrt{r^3}\) can fit into 150r^2

Answer 4

\[n\sqrt{r^3}=150r^2\]

we can convert a radical to an exponent:\[\sqrt[c]{B^a}=B^{a/c}\]

Answer 5

i don't need the answer just the expression to use

Answer 6

\[nr^{3/2}=150r^2\]
divide off that r^3/2
\[n\frac{r^{3/2}}{r^{3/2}}=150\frac{r^2}{r^{3/2}}\]
\[n=150\frac{r^2}{r^{3/2}}\]

and then we would have to simplify the right side

Answer 7

\[\frac{B^t}{B^b}\to \ B^{t-b}\]

Answer 8

\[n=150\frac{r^2}{r^{3/2}}\]
\[n=150\ r^{2-\frac{3}{2}}\]
\[n=150\ r^{\frac{4}{2}-\frac{3}{2}}\]
\[n=150\ r^{\frac{1}{2}}\]

Answer 9

wait but what does n represent?

Answer 10

and since division in an exponent expresses a radical we get:

\[n=150 \sqrt{r} \]

Answer 11

the "n"umber of pieces we are looking to fit into the clooage

Answer 12

or whatever its called :)

Answer 13

o ok thanks

Answer 14

i have a few more questions so watch for when i post them please

Answer 15

if im available

Answer 16

o ok

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