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Mathematics 14 Online
Nicole:

http://prntscr.com/m168k4

Nicole:

@Vocaloid

Vocaloid:

cross multiply

Nicole:

x+3/12 and 3/2?

Vocaloid:

1 attachment
Vocaloid:

1 attachment
Vocaloid:

multiply diagonally so going diagonally, you have 2*(x+3) and 3*12, set them equal to each other and you'll get your solution

Nicole:

A?

Vocaloid:

yes

Nicole:

http://prntscr.com/m16afl

Vocaloid:

uh well there's one step where you multiply both sides by (a) to eliminate the denominator, that will give you one answer choice from there you can factor, that's another step and another answer choice see what two choices you can get from that

Nicole:

A and C?

Nicole:

or B

Vocaloid:

A+C is good

Nicole:

http://prntscr.com/m16cr3

Vocaloid:

hm I believe you would just multiply both sides of the eqn by (m-2) then just solve as you normally would

Nicole:

0?

Vocaloid:

good it's asking about the # of solutions, though, so in this case, 1 solution is your solution

Nicole:

ohh okay http://prntscr.com/m16dtl

Vocaloid:

consider how much work gets done per minute if you let x be the number of minutes Richard takes to mow the lawn, then Richard does 1/x of the entire job in 1 minute same logic with Terri, except she only does 1/3 of the work that Richard does, or 1/(3x) in 1 minute, 1/20 of the entire job gets done so 1/x + 1/(3x) = 1/20

Vocaloid:

these problems are kind of a pain but if you try to think of how much work gets done per unit time it's easier to create the equation

Nicole:

Oh makes sense so it would be A

Vocaloid:

yes

Nicole:

http://prntscr.com/m16e2b

Vocaloid:

shaded area is just 6x since it's a rectangle white area = total rectangle - shaded area, so 4*15 - 6x they say that shaded/white = 1/4 so 6x/(4*15-6x) = 1/4 solve for x

Nicole:

doesnt x =2?

Vocaloid:

huh yeah guess that's not one of the choices hm.

Nicole:

there is 2.5 so...

Vocaloid:

I suppose that's the best course of action :/

Nicole:

okay and are these 2 correct? http://prntscr.com/m16gos

Vocaloid:

I think I got something diff. for the second one try multiplying both sides by x

Nicole:

hmmm im not getting anything different for some reason

Vocaloid:

1/6 - 1/x = 5/(8x) multiply both sides by x gives us x/6 - 1 = 5/8 try from there

Nicole:

9.75, but the only choice is with the negative sign

Vocaloid:

9.75 is also the same as 39/4

Nicole:

ohh okay so A

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