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

(1 point)

O4^2+60

Ο 54

Ο 76

Ο 100

1 answer

Let's simplify the expression step by step.

  1. Simplify \( (16 - 12) \): \[ 16 - 12 = 4 \]

  2. Now calculate \( (16-12) \cdot 2 \): \[ 4 \cdot 2 = 8 \]

  3. Now simplify \( (8 + 22) \): \[ 8 + 22 = 30 \]

  4. Now calculate \( 5(8 + 22) \): \[ 5 \cdot 30 = 150 \]

  5. Now combine both parts of the expression: \[ 8 + 150 = 158 \]

Next, let's simplify the numerator \( 53 - (1 + 4) \cdot 2 \):

  1. Simplify \( (1 + 4) \): \[ 1 + 4 = 5 \]

  2. Now calculate \( (1 + 4) \cdot 2 \): \[ 5 \cdot 2 = 10 \]

  3. Now simplify \( 53 - 10 \): \[ 53 - 10 = 43 \]

So the simplified numerator is \( 43 \).

Thus, if we are to summarize the simplified expressions:

  • The first expression results in \( 158 \) (though this was not explicitly asked)
  • The simplified numerator \( 53 - (1 + 4) \cdot 2 = 43 \).

None of the options given in your question (4^2 + 60, 54, 76, 100) match the numerator or a derived value from our calculations. If reconsidering the calculations is needed, please specify the context further.