Sanjay has 3 2/3 yards of yellow ribbon and 5 2/3 yards of blue ribbon. how many yards of ribbon does sanjay have altogether? a.8 1/3 yd b. 8 2/3 yd c. 9 1/3 yd d. 9 2/3 yd

The answer is 9 1/3                                  

This is exactly like the last question you posted. First you have to change the 3 and 2/3 mixed fraction into a pure fraction. 3 and 2/3 = 9/3 and 2/3 = 11/3 "eleven thirds." You now just need to divide (11 / 3) by (2/3.) (11 / 3) / (2 / 3) = (11 / 3) * (3 / 2) = 11 / 2 = 5 and 1/2 pieces. So if Mae cuts the ribbon into pieces that are 2/3 yard long, Mae will end up with 5 and 1/2 pieces.  Checking our work, 5 pieces would be 5 * (2/3) = 10 / 3 = 3 and 1/3 yard long, leaving us with an extra 1/3 yard of ribbon, which is the "half piece" we got. Depending on the phrasing of the question, the answer could be "Mae makes 5 and a half pieces." or "Mae can make 5 pieces, and will have 1/3 yard of ribbon left over."
the answer is C. 9 1/3
Hope this helps!

4(x – 3) + 4 < 10 + 6x
Distribute the 4 on the left side.

4x -12 +4 < 10 + 6x
Combine like terms on the left side.

4x-8<10 +6x
Subtract the 6x from both sides.

-2x -8<10
Add the 8.

-2x <18
Divide by -2 & flip the inequality symbol (it's a math rule which states that if you multiply or divide by a negative, you must flip the inequality symbol).

x> -9

That's your final answer.