Chapter 8.2, Problem 51PFA

To determine

To choose: The equivalent expression for $0.25\left(5n-3\right)+0.10n$

Answer to Problem 51PFA

The equivalent expression is $1.35n-0.75$

B is the correct option.

Explanation of Solution

Given:

  $0.25\left(5n-3\right)+0.10n$

  $\begin{array}{l}\mathrm{A }.1.35n-3\\ \mathrm{B }.1.35n-0.75\\ \mathrm{C }.0.115n+0.85\\ \mathrm{D }.0.135n^2-0.075n\end{array}$

Calculation:

The given expression is $0.25\left(5n-3\right)+0.10n$

Use distributive property and then combine the like terms

  $\begin{array}{l}0.25\cdot 5n+0.25\cdot \left(-3\right)+0.10n\\ =1.25n-0.75+0.10n\\ =1.35n-0.75\end{array}$

So, B is the correct option