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Mathematics 18 Online
OpenStudy (anonymous):

5y-3=7+4(y-2)

OpenStudy (sandra):

ok hmmm. 1. 5y - 3 + 3 = y + 4(y-2)

OpenStudy (sandra):

2. 5y = y + 4y - 8 + 3

OpenStudy (sandra):

(sorry missed the +3 on the right side first line)

OpenStudy (sandra):

5y - 3 = y + 4y - 8

OpenStudy (sandra):

ugh 1. 5y - 3 = 7 + 4y - 8

OpenStudy (sandra):

5y -3 + 3 = 7 + 4y -8 +3

OpenStudy (sandra):

5y = 2 + 4y

OpenStudy (sandra):

5y - 4y = 3 + 4y - 4y

OpenStudy (sandra):

*2

OpenStudy (sandra):

y = 2

OpenStudy (anonymous):

thank u !!!!!!! lol now let me see if i can do it

OpenStudy (sandra):

heh np, sorry, I was sloppy, this step: 5y - 4y = 3 + 4y - 4y should have had a 2 instead of the 2, not sure how I hit 3

OpenStudy (anonymous):

write an equivalent decimal for 0.4

OpenStudy (sandra):

ok so for an equivalent to .4:

OpenStudy (sandra):

you can always multipel a number by 1 to get an equivalent form of the original number, that is, number x 1 = the original number - but it just looks different

OpenStudy (sandra):

so we want to get rid of the decimal point in .4

OpenStudy (sandra):

so let's multiply it by 10/10 (which is 1)

OpenStudy (sandra):

so .4/1 x 10/10 = 4 x10/1 x 10 = 4/10

OpenStudy (sandra):

so 4/10 is an equivalent fraction to .4

OpenStudy (sandra):

now if you want an equivalent decimal

OpenStudy (sandra):

you can just add a .0

OpenStudy (sandra):

so .4 = 4 tenths

OpenStudy (sandra):

it also equals 4 tenths AND 0 hundredths

OpenStudy (sandra):

so .40 is equivalent

OpenStudy (sandra):

it also equals 4 tenths, 0 hundredths, and 0 thousandths

OpenStudy (sandra):

so .4 = .40 = .400

OpenStudy (sandra):

does that make sense? do you have any other questions?

OpenStudy (sandra):

cmfb - if you want to walk through another one I'm game

OpenStudy (anonymous):

6 1/5 in decimal form

OpenStudy (sandra):

ok, so in this case, you know the first part, which is 6.

OpenStudy (sandra):

now the question is, how much is 1/5?

OpenStudy (sandra):

so decimals can also be looked at as fractions, specifically, how many out of some power of 10 (depending on the number of decimals you're going after)

OpenStudy (sandra):

after all, we know that 3/10 is .3

OpenStudy (sandra):

because we can just move the decimal one to the left when we're dividing by 10

OpenStudy (sandra):

so 6 1/5 = 6. + whatever 1/5 is if the denominator is some power of 10

OpenStudy (sandra):

so 1/5 = 1/5 * 2/2 (again, multiplying by 1 always gets you the same thing) = 1*2/5*2 = 2/10

OpenStudy (sandra):

2/10 means you can move the decimal to the left for the top number (one spot in this case)

OpenStudy (sandra):

so 1/5 = 2/10 = .2

OpenStudy (sandra):

and so 6 1/5 = 6.2

OpenStudy (anonymous):

thank you so much im sorry my mom called me to help with my nephews home work

OpenStudy (sandra):

it's ok =) np. gl!

OpenStudy (anonymous):

ok got time for one more

OpenStudy (anonymous):

are you still there

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