The expressions that have a value of 96 when s = 4 will be s / 6 + 95 2/9, (2s² ÷ 24) + 94 2/3, and 6s². Then the correct options are B, D, and E.
What is Algebra?
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
When s = 4, the value of the expression should be 96.
Let's check all the options.
A. 380 ÷ s, then the value of the expression at s = 4.
⇒ 380 ÷ 4
⇒ 95
B. s / 6 + 95 2/9, then the value of the expression at s = 4.
⇒ 4 / 6 + 95 2/9
⇒ 96
C. 164 / s + 54, then the value of the expression at s = 4.
⇒ 164 / 4 + 54
⇒ 95
D. (2s² ÷ 24) + 94 2/3, then the value of the expression at s = 4.
⇒ (2(4)² ÷ 24) + 94 2/3
⇒ 96
E. 6s², then the value of the expression at s = 4.
⇒ 6(4)²
⇒ 96
Thus, the expressions that have a value of 96 when s = 4 will be s / 6 + 95 2/9, (2s² ÷ 24) + 94 2/3, and 6s².
Then the correct options are B, D, and E.
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