31/5 x 7 1/4 in simplest form a.22 b.10 1/9 c.21 1/20 d.23 1/5

We have

(16/5)x(29/4) = (16x29)/(5x4) = 464/20 = 116/5 = 23 1/5;

The correct answer is d. 23 1/5;

Step-by-step explanation:

answer: about 22.67

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places