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Calculate

[tex]\[
(4^2 - 6) + \frac{20}{4} \cdot 5 - 6
\][/tex]

Sagot :

GinnyAnswer
Sure, let's break down the given expression step-by-step:

Given expression:
[tex]\[ \left(4^2 - 6\right) + \frac{20}{4} \cdot 5 - 6 \][/tex]

1. Compute [tex]\(4^2\)[/tex]:

[tex]\[ 4^2 = 16 \][/tex]

2. Subtract 6 from [tex]\(16\)[/tex]:

[tex]\[ 16 - 6 = 10 \][/tex]

3. Compute the division [tex]\(\frac{20}{4}\)[/tex]:

[tex]\[ \frac{20}{4} = 5.0 \][/tex]

4. Multiply the result by 5:

[tex]\[ 5.0 \cdot 5 = 25.0 \][/tex]

5. Add the results from steps 2 and 4, then subtract 6:

[tex]\[ 10 + 25.0 - 6 = 29.0 \][/tex]

Hence, the detailed, step-by-step solution results in:

[tex]\[ \left(4^2 - 6\right) + \frac{20}{4} \cdot 5 - 6 = 29.0 \][/tex]

The final answer is [tex]\( \boxed{29.0} \)[/tex].
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