Evaluate 6k − j2 + 2k ÷ l

when j = 5
, k = 12
, and l = 3
.(1 point)
Responses

70
70

55
55

54
54

39

1 answer

To evaluate the expression \( 6k - j^2 + \frac{2k}{l} \) with the given values \( j = 5 \), \( k = 12 \), and \( l = 3 \), we follow these steps:

  1. Substitute the values into the expression: \[ 6(12) - (5^2) + \frac{2(12)}{3} \]

  2. Calculate \( 6k \): \[ 6(12) = 72 \]

  3. Calculate \( j^2 \): \[ 5^2 = 25 \]

  4. Calculate \( \frac{2k}{l} \): \[ \frac{2(12)}{3} = \frac{24}{3} = 8 \]

  5. Now substitute these results back into the expression: \[ 72 - 25 + 8 \]

  6. Perform the calculations step by step:

    • First, \( 72 - 25 = 47 \)
    • Then, \( 47 + 8 = 55 \)

Thus, the value of the expression is \( 55 \).

The correct response is: 55