Question

Evaluate the expression below when x=9.5 and y=3
12x-3y*2

Answer 1

This isn’t correct

Answer 2

To evaluate the expression \( 12x - 3y \times 2 \) when \( x = 9.5 \) and \( y = 3 \), you can follow these steps:

1. Substitute \( x = 9.5 \) and \( y = 3 \) into the expression.
2. Follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) to simplify the expression.

Given:
\[ 12x - 3y \times 2 \]

Substitute:
\[ 12(9.5) - 3(3) \times 2 \]

Perform the multiplication:
\[ 12 \times 9.5 - 3 \times 3 \times 2 \]
\[ 114 - 9 \times 2 \]
\[ 114 - 18 \]

Now, perform the subtraction:
\[ 114 - 18 = 96 \]

So, the value of the expression when \( x = 9.5 \) and \( y = 3 \) is \( 96 \).

Answer 3

Let's reevaluate the expression \( 12x - 3y \times 2 \) with the values \( x = 9.5 \) and \( y = 3 \), ensuring to strictly follow the order of operations:

Given expression:
\[ 12x - 3y \times 2 \]

Substitute \( x = 9.5 \) and \( y = 3 \):
\[ 12(9.5) - 3(3) \times 2 \]

According to the order of operations (multiplication before subtraction):
\[ 12 \times 9.5 - (3 \times 3 \times 2) \]

Perform the multiplications first:
\[ 12 \times 9.5 = 114 \]
\[ 3 \times 3 = 9 \]
\[ 9 \times 2 = 18 \]

Now, perform the subtraction:
\[ 114 - 18 = 96 \]

So, the value of the expression when \( x = 9.5 \) and \( y = 3 \) is indeed \( 96 \). It appears my initial evaluation was actually correct. If there was an oversight or different step expected, please let me know.