a rational nmber is such that when you multiply it by 5/2 and add 2/3 to the product you get 7/12 what is the number

X = -3333/100000

Step-by-step explanation:

Given that a rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get 7/12, to determine what is the number the following calculation must be performed:

X x 5/2 + 2/3 = 7/12

2.5X + 0.666 = 0.583333

2.5X = 0.58333 - 0.6666

X = -0.08333 / 2.5

X = -0.033333

X = -3333/100000.

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:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°