a ribbon measuring (v+4) feet in length was cut into two pieces in the ratio 3:7. What was the length of the longer piece? answer

let the two pieces be 3x and 7x , then

3x + 7x = v+4
10x = v+4
x = (v+4)/10

The longer piece was 7x or
7(v+4)/10

5/3w

To find the length of the longer piece, we first need to determine the total length of the ribbon.

According to the given information, the ribbon measuring (v+4) feet was cut into two pieces in the ratio 3:7. This means that the first piece represents 3 parts and the second piece represents 7 parts.

To find the total number of parts, we add the two ratios together: 3 + 7 = 10.

Now, we can determine the length of each part by dividing the total length of the ribbon by the number of parts.

Total length of the ribbon = (v+4) feet

Length of each part = (v+4) / 10 feet

The longer piece represents 7 parts, so we can find the length of the longer piece by multiplying the length of each part by 7:

Length of longer piece = 7 * ((v+4) / 10) feet

Simplifying the expression, we have:

Length of longer piece = 7(v+4)/10 feet

Therefore, the length of the longer piece is 7(v+4)/10 feet.

the weight of 2 science fiction books and 1 autobiography is 5/6w pounds. what is the total weight of 4 of these science fiction books and 2 of these autobiographies?