Question

Please help will give brainliest

Answer 1

B) 28 hope this helps!!

Answer 2

Answer:

B) 28 inches.

Step-by-step explanation:

After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.

And we want to find the length of the shorter ribbon from the two remaining pieces.

We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:

$\displaystyle \frac{1}{8}L=9$

Where L represents the total length of the ribbon.

Solve for the total length:

$\displaystyle L=72\text{ inches}$

So, the original length of the ribbon was 72 inches.

Since we threw away 9 inches of it, we now only have 63 inches.

This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:

$(4x)+(5x)=63$

Solve for x:

$9x=63\Rightarrow x=7$

Hence, the two remaining ribbons measure 28 inches and 35 inches.

Therefore, our answer is B.