Which expressions are equivalent to x/3x times 8x/3x? Select all that apply? a. 8x^2/9x^2

b. 8x^2/3x

c. 8x/3, for x not equal to 0

d. 8/9, for x not equal to 0

e. 9x^2/9x^2

f. 1, for x not equal to 0

The  expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Given the equation:

(x/3x) * (8x/3x)

Multiplying the numerator and denominator:

= (x * 8x)/(3x * 3x)

= 8x² / 9x²

Further simplifying the equation:

= 8/9

The  expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²

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A, D

Step-by-step explanation:

x/3x times 8x/3x is equivalent to x(8x)/[(3x)(3x)] i.e. 8x^2/9x^2 or 8/9.

A is correct obviously.

B is not correct since the coefficients and degrees are different.

C is not correct since the coefficients and degrees are different.

D is correct.

E is obviously wrong by comparing the coefficients.

F is also wrong since 8/9 is not equal to 1.

So the correct answers are A and D.