Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

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

OpenStudy (amistre64):

this one?

OpenStudy (anonymous):

yeah

OpenStudy (amistre64):

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

OpenStudy (amistre64):

\[n\sqrt{r^3}=150r^2\] we can convert a radical to an exponent:\[\sqrt[c]{B^a}=B^{a/c}\]

OpenStudy (anonymous):

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

OpenStudy (amistre64):

\[nr^{3/2}=150r^2\] 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

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

OpenStudy (anonymous):

wait but what does n represent?

OpenStudy (amistre64):

and since division in an exponent expresses a radical we get: \[n=150 \sqrt{r} \]

OpenStudy (amistre64):

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

OpenStudy (amistre64):

or whatever its called :)

OpenStudy (anonymous):

o ok thanks

OpenStudy (anonymous):

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

OpenStudy (amistre64):

if im available

OpenStudy (anonymous):

o ok

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
laylasnii13: Can i dm anybody to vent having a rough time ??
10 hours ago 1 Reply 0 Medals
kaelynw: starting to draw a hand
29 minutes ago 16 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
10 hours ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
10 hours ago 4 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
1 day ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
1 day ago 27 Replies 3 Medals
kaelynw: art igg
1 day ago 14 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!