Final answer:
None of the provided expressions evaluated with k = 0.5 and p = 1/6 gives an answer of 12. There seems to be a mistake with the original question or the provided values.
Step-by-step explanation:
The student's friend evaluated an expression using k = 0.5 and p = 1/6 and got an answer of 12. To find which expression was evaluated, we need to substitute these values into each of the provided options and see which one equals 12.
- For the expression 5p+8k, substituting k = 0.5 and p = 1/6 gives: 5*(1/6) + 8*(0.5) = 5/6 + 8/2 = 5/6 + 4 = 4.8333..., which doesn't equal 12.
- For the expression 8p + 5k, substituting k = 0.5 and p = 1/6 gives: 8*(1/6) + 5*(0.5) = 8/6 + 2.5 = 1.3333... + 2.5 = 3.8333..., which doesn't equal 12.
- For the expression 0.5k + 1.6p, substituting k = 0.5 and p = 1/6 gives: 0.5*(0.5) + 1.6*(1/6) = 0.25 + 1.6/6 = 0.25 + 0.2666..., which doesn't equal 12.
- For the expression 0.8k + 0.5p, substituting k = 0.5 and p = 1/6 gives: 0.8*(0.5) + 0.5*(1/6) = 0.4 + 0.5/6 = 0.4 + 0.0833... = 0.4833..., which doesn't equal 12.
None of the provided options result in an answer of 12 with the given values for k and p. There may be a mistake in the original question or the values provided for k and p.