Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Which expression below is equivalent to 4/3x + 4 2/3?
A: 4/3(x + 2)
B: 1/3(4x + 6)
C: 2/3(2x + 4)
D: 2/3(2x + 7)

Please help

Sagot :

I assume that 4 2/3 is 4 and 2/3, not 4 * 2/3. If so, 4 2/3 is as much as 14/3.

A. 4/3 (x + 2) = 4/3x + 8/3
B. 1/3 (4x + 6) = 4/3x + 2
C. 2/3 (2x + 4) = 4/3x + 8/3
D. 2/3 (2x + 7) = 4/3x + 14/3

It means that D is correct.

For this case we have the following expression:

[tex] \frac{4}{3}x + 4\frac{2}{3} [/tex]

The first thing we must do for this case is to write the mixed number as a fraction.

We have then:

[tex] \frac{4}{3}x + \frac{14}{3} [/tex]

Then, we can do common factor 2/3 in the expression.

We have then:

[tex] \frac{2}{3}(2x + 7) [/tex]

Answer:

An equivalent expression is:

[tex] \frac{2}{3}(2x + 7) [/tex]

Option D

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.