Question

may someone help with math i need help explaing like how i got answer i know the answer the answer but how i explaini know the answer its c but how i explain
6 to 8 and 18 to x
a.20
b.22
c.24
will ward and +fan

Answer 1

Something like:

\(\Large \sf \frac{6}{8}=\frac{18}{x}\)

We need to solve for 'x'

Do you know how to cross multiply?

Answer 2

yea

Answer 3

so when cross multiplication is being used we have
6x=18(8)
once we multiply 18 x 8
we divide both sides by 6 to figure out what x is

Answer 4

okay 18 time 8 is 144

Answer 5

Correct

Answer 6

yes
so now we have
6x=144
so divide 6 on both sides

Answer 7

okay hold on

Answer 8

75/3

Answer 9

That's wrong :c

Answer 10

25

Answer 11

wait wait wait... that is wrong..
it's 144/6

Answer 12

144/6

Now, 144 can be divided by 2, and 6 can be divided by 2.

Answer 13

So, what is 144/2 = ?

and then we can divide by 3 to get the final answer :)

Answer 14

blah.. so when we divided on both sides we got
x = 144/6
now we need to figure out what that fraction is

Answer 15

72

Answer 16

and now 72/3 = ?

Answer 17

24

Answer 18

yeah

Answer 19

thank u im happy

Answer 20

Good job!

Answer 21

thank u may u help with more but explain

Answer 22

:)

ratios can be written in different ways

6 to 8 can also be written as
6:8
or
\[\frac{6}{8}\]

similarly with 18 to x
that can be written as
18:x
or
\[\frac{18}{x}\]

Answer 23

so when the problem asked for 6 to 8 and 18 to x
that's comparing the two ratios together and try to find out what our x is..
errrr. ummm
we could've done this

take the original ratio 6 to 8 and then multiply by 3
because
our second ration is 18 to x
Now I'm noticing that
6 to 8 is the original

and 18 to x is a bigger version of that original ratio
if we had multiplied 6 x 3 to gain 18
we could've multiplied 8 x 3 to get the answer a bit quicker

Answer 24

so how i explain

Answer 25

6 to 8 is a ratio... that can be re-written as either 6:8
or as a fraction
\[\frac{6}{8}\]

18 to x is also a ratio that can be re-written as either 18: x or as a fraction
\[\frac{18}{x}\]

so we need to compare the 2 ratios and find out what the missing x value is

\[\Large \sf \frac{6}{8}=\frac{18}{x}\]

Answer 26

k

Answer 27

so we can use cross multiplication

to get to this step
\[6x=(18)(8)\]