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.