Find how many pages maria type in 1 minute if she types at the rate of 1/4 of a page in 2/3 of a minute?

Find the unit rate:  pages per minute.  

To do this, divide 1/4 page by 2/3 minute:

1         3       3 pages

* = = 3/7 page per minute

4       2         7 min

Note that I have inverted 2/3, obtaining 3/2, and then multiplied 1/4 by that, instead of dividing.

Maria can type 3/7 page per minute.

0.6

39mph

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752