Question

Evaluate the expression when $x=3,y=4,\text{\hspace{0.17em}and}z=5$

$\mathrm{20.0.25}(y+x)$

Short answer

The value of expression is1.75.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Substitute the values

To evaluate the expression $0.25(y+x)$, substitute 3 for x and 4 for y, and simplify further using the order of operations as shown below,

$\begin{array}{c}0.25(y+x)=0.25(4+3)\\ =0.25\left(7\right)\end{array}$

Step-3 – Multiply the numbers

To simplify further, multiply the resulting numbers to get

$\begin{array}{c}0.25(y+x)=0.25(4+3)\\ =0.25\left(7\right)\\ =1.75\end{array}$

So, the value of the expression is 1.75.