Answer: 112 pieces
Step-by-step explanation:
1. Rewrite
as a decimal. Divide the numerator and the denominator of the fractional part and add it to the integer part:

2. You know that each metal rod is 15 inches long. Then, you must divide the lenght of each one by 3.6:

3. The waste is 0.16, therefore, you obtain 4 pieces from a metal rod. The total pieces obtained from 28 metal rods are:

In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.