Alandscaping company needs 160 gallons of 40% fertilize the shrubs in an office park. they have in stock 50% fertilizer and 30% fertilizer. how much of each type should they mix together?

Let

x> volume of 50​% fertilizer

y> volume of 30% fertilizer

we know that

x+y=160> x=160-y> equation 1

x*0.5+y*0.3=160*0.4> equation 2

substitute equation 1 in equation 2

[160-y]*0.5+0.3*y=63.8> 77-0.35*y+0.25*y=63.8

0.10*y=13.2> y=13.2/0.10> y=132 gal

x=220-y> x=220-132> x=88 gal

the answer is

88 gal of 50​% fertilizer

132 gal 30​% fertilizer

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

5x+10 is the correct one

hope this