contestada

which expression below is equivalent to 6/7x + 2 1/7 ?
A.3/7 (2x+5)
B.1/7(6x+2)
C.2/7(3x+4)
D.6/7(x+ 1 2/7)

Respuesta :

Answer:

The choice A .

[tex] \frac{3}{7} (2x + 5)[/tex]

Step-by-step explanation:

[tex]a. \: \frac{3}{7} (2x + 5) = \frac{6}{7} x + \frac{15}{7} = \frac{6}{7}x + 2 \frac{1}{7} \\ \\ \\ b. \: \frac{1}{7} (6x + 2) = \frac{6}{7} x + \frac{2}{7} \\ \\ \\ c. \: \frac{2}{7} (3x + 4) = \frac{6}{7} x + \frac{8}{7} = \frac{6}{7} x + 1 \frac{1}{7} \\ \\ \\ d. \: \frac{6}{7} (x + 1 \frac{2}{7} ) = \frac{6}{7} (x + \frac{9}{7} ) = \frac{6}{7} x + \frac{54}{49} [/tex]