Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute. Marla will use both copiers to make a total of 1200 copies of the newsletter. Both copiers will start and end at the same time. How many minutes will it take to make 1200 copies?

12 minutes.

Step-by-step explanation:

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.

Since both copier start at the same time, let the number of minutes used by both copiers be represented by x

60 × x + 40 × x = 1200 copies

60x + 40x = 1200

100x = 1200

x = 1200/100

x = 12 minutes

Therefore, it will take 12 minutes l to make 1200 copies.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)