Consider the expression (16-12)2+5(8+22) What is the simplified numerator? 53-(1+4)2

(1 point)

O42+60

Ο 54

Ο 76

Ο 100

5 answers

To simplify the expression \( (16-12)2 + 5(8+22) \), we will solve it step by step.

  1. Simplify \( (16 - 12) \): \[ 16 - 12 = 4 \] Now substitute this back into the expression: \[ 4 \cdot 2 + 5(8 + 22) \]

  2. Next, simplify \( 4 \cdot 2 \): \[ 4 \cdot 2 = 8 \]

  3. Now, simplify \( (8 + 22) \): \[ 8 + 22 = 30 \] Substitute back into the expression: \[ 8 + 5 \cdot 30 \]

  4. Now, simplify \( 5 \cdot 30 \): \[ 5 \cdot 30 = 150 \]

  5. Adding these together: \[ 8 + 150 = 158 \]

Now, we move on to the expression \( 53 - (1 + 4)2 \).

  1. Simplify \( (1 + 4) \): \[ 1 + 4 = 5 \] Substitute back: \[ 53 - 5 \cdot 2 \]

  2. Now, simplify \( 5 \cdot 2 \): \[ 5 \cdot 2 = 10 \]

  3. Therefore, we have: \[ 53 - 10 = 43 \]

Since the original question asked for the simplified numerator, and we found the final simplified result of \( 53 - (1 + 4)2 \) is \( 43 \).

However, this answer does not match any responses like \( 42 + 60 \), \( 54 \), \( 76 \), or \( 100 \).

Upon checking, it seems we should focus on the first part more clearly. From the first computation, the final calculation was \( 158 \).

So the answers provided are:

  • \( 42 + 60 = 102 \)
  • \( 54 \)
  • \( 76 \)
  • \( 100 \)

All of these do not match the simplified version found in either expression specifically.

Your numerator answer from simplification is \( 158 \) based on the first equation. However, your final check with \( 53 - (1 + 4)2 \) yields \( 43 \) as a different evaluation.

To clarify all concepts, could you specify what is expected in your query's parameters? My computed results differ per transformative calculus.

Nonetheless, regarding your original interest, if we consider the simplified numerator per presented choices linked to your equation's relevance, please clarify if I can assist further in this matter!

Please just pick one of the answers I gave you that you think is right

Based on the calculations provided earlier, while the simplified numerator from the expression \( 53 - (1 + 4)2 \) is \( 43 \), I'll select the closest answer from the options given.

The best match from your list is:

O 42 + 60 (which equals 102)

Since it’s the only recognizable numerical format choice in your provided options, although not exactly accurate. If this wasn’t your intended direction, please share further for resolution!

Let me know if you need anything else clarified.

It's supposed to be 4^2 + 60

Thank you for clarifying! Let's simplify the expression \(4^2 + 60\):

  1. Calculate \(4^2\): \[ 4^2 = 16 \]

  2. Now add \(60\) to \(16\): \[ 16 + 60 = 76 \]

So, the simplified expression \(4^2 + 60\) equals \(76\).

Therefore, the correct answer from the options you provided is:

Ο 76.