6^5x=20 round to the nearest ten-thousands

I think you're saying that the exponent is (5x), and the equation is

6⁵ˣ = 20 .

IF so, then . . .

Take the log of each side:  5x·log(6) = log(20)

Divide each side by  log(6) :  5x = log(20) / log(6)

Divide each side by  5 :      x = 0.2 log(20) / log(6)

x = 0.2 · (1.30103) / (0.77815)

x = 0.33439

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: