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Mathematics 19 Online
OpenStudy (anonymous):

There are many different types of crystals. this fact is easy to see when they're magnified, for example at a ratio of 36:1, in cm - If the magnified image of a crystal is 18 cm, how large is it in real life

OpenStudy (lgbasallote):

36 : 1 = 18 : x solve for x

OpenStudy (anonymous):

how

OpenStudy (lgbasallote):

\[\frac{36}{1} = \frac{18}{x}\] solve for x is that better?

OpenStudy (anonymous):

suree

OpenStudy (lgbasallote):

so what's x?

OpenStudy (anonymous):

idk i really dont

OpenStudy (lgbasallote):

not even a teensy bit of idea?

OpenStudy (anonymous):

no

OpenStudy (lgbasallote):

multiply both sides by x what will you get?

OpenStudy (anonymous):

which sides

OpenStudy (lgbasallote):

the left side and right side

OpenStudy (lgbasallote):

that means \[\frac{36}{1} = \frac{18}{x}\] multiply both sides by x \[\frac{36}{1} \times x = \frac{18}{x} \times x\]

OpenStudy (anonymous):

648?

OpenStudy (lgbasallote):

did you multiply 36 x 18 o.O

OpenStudy (lgbasallote):

why?

OpenStudy (anonymous):

yea lol

OpenStudy (anonymous):

and idk

OpenStudy (lgbasallote):

just stick to what im saying...multiply both sides by x what do you get?

OpenStudy (anonymous):

36 and i8?

OpenStudy (anonymous):

18*

OpenStudy (lgbasallote):

what is 36 * x?

OpenStudy (anonymous):

36?

OpenStudy (lgbasallote):

where did x go?

OpenStudy (anonymous):

next to it?

OpenStudy (lgbasallote):

i dont see it in your answer..

OpenStudy (anonymous):

36x?

OpenStudy (lgbasallote):

right what's 18/x * x?

OpenStudy (anonymous):

18x?

OpenStudy (lgbasallote):

\[\frac{18}{x} \times x\] \[\frac{18}{\cancel x} \times \cancel x\]

OpenStudy (lgbasallote):

so what's 18/x * x?

OpenStudy (anonymous):

18xx?

OpenStudy (lgbasallote):

do you know what those lines mean? that cross out?

OpenStudy (anonymous):

no

OpenStudy (lgbasallote):

it means cancel

OpenStudy (anonymous):

ok

OpenStudy (lgbasallote):

so what's 18/x * x?

OpenStudy (anonymous):

18

OpenStudy (lgbasallote):

right. so the equation becomes 36 * x = 18/x * x 36x = 18 can you solve for x now?

OpenStudy (anonymous):

umm what do i do? to solve

OpenStudy (lgbasallote):

what is the number beside x?

OpenStudy (anonymous):

36

OpenStudy (lgbasallote):

therefore divide both sides by 36

OpenStudy (anonymous):

both sides of what

OpenStudy (lgbasallote):

36x = 18 both sides

OpenStudy (lgbasallote):

left side which is 36x and right side which is 18

OpenStudy (anonymous):

36*36=1296 36*18=648

OpenStudy (anonymous):

@lgbasallote

OpenStudy (lgbasallote):

DIVIDE..not multiply

OpenStudy (anonymous):

36/36=1 36/188=2

OpenStudy (lgbasallote):

divide 18 by 36

OpenStudy (anonymous):

18*

OpenStudy (lgbasallote):

\[36x = 18\] \[\frac{\cancel{36}x}{\cancel{36}} = \frac{18}{36}\]

OpenStudy (lgbasallote):

so what's the value of x?

OpenStudy (anonymous):

18 over 36

OpenStudy (lgbasallote):

simplify it

OpenStudy (lgbasallote):

i need to go now. just simplify 18/36 and you'll get your answer

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