Answer: 112 pieces
Step-by-step explanation:
1. Rewrite [tex]3^{\frac{3}{5}}[/tex] as a decimal. Divide the numerator and the denominator of the fractional part and add it to the integer part:
[tex]3+0.6=3.6in[/tex]
2. You know that each metal rod is 15 inches long. Then, you must divide the lenght of each one by 3.6:
[tex]pieces=\frac{15in}{3.6in}4.16[/tex]
3. The waste is 0.16, therefore, you obtain 4 pieces from a metal rod. The total pieces obtained from 28 metal rods are:
[tex]total=4pieces*28=112pieces[/tex]
Answer:
116 whole pieces
Step-by-step explanation:
We have a 28 metal rods that are 15 inches long each, out of which we need to cut [tex]3\frac{3}{5}[/tex] inches long metal rods.
Firstly, we will convert the mix fraction into improper fraction and then divide the total length of the rod by it.
[tex]3\frac{3}{5}[/tex] inches = [tex]\frac{18}{5}[/tex] inches
Dividing the total length of rod by this length and multiplying it by 28 to get:
[tex]\frac{15}{\frac{18}{5} }[/tex] = [tex]28 (15 * \frac{5}{18})[/tex] = [tex]116.6[/tex]
Therefore, 116 whole pieces can be cut from the given length of rod.
