A package of construction paper has 6 sheets of red paper, 14 sheets of blue pape and 10 sheets of yellow paper. If Dexter bought enough packages of construction
paper to have 50 sheets of yellow paper, how many sheets of red paper does he
have?

30 sheets of red paper

Step-by-step explanation:

Using proportion,

If 10 sheets of yellow paper = 6 sheets of red paper

then 50 sheets of yellow paper = ? sheets of red paper

= 5 * 6 sheets of red paper

= 30 sheets of red paper

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