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Sagot :
The value of the third expression [tex]\rm \dfrac{45}{n} + 7[/tex] for n = 5 is 16 which is equivalent to 16.
What is an equivalent?
The equivalent is the functions that are in different forms but are equal to the same value.
Given
The expressions are shown below.
[tex]\rm 1. \ \dfrac{25}{n} + 7\\\\2. \ 30 -3n\\\\3. \ 7+ \dfrac{45}{n}\\\\4. \ n^3 - 114[/tex]
The expression is equivalent to 16 for n = 5.
1. For n = 5, the expression will be
[tex]\rm \dfrac{25}{n} + 7\\\\ \dfrac{25}{5} + 7\\\\5 + 7 \\12[/tex]
The expression is not equivalent to 16.
2. For n = 5, the expression will be
[tex]\rm 30 - 3n\\30 - 3 * 5 \\30 - 15\\15[/tex]
The expression is not equivalent to 16.
3. For n = 5, the expression will be
[tex]\rm \dfrac{45}{n} + 7\\\\ \dfrac{45}{5} + 7\\\\9 + 7 \\16[/tex]
The expression is equivalent to 16.
4. For n = 5, the expression will be
[tex]\rm n^3 - 114 \\\\5^3 - 114 \\\\125 -114\\\\11[/tex]
The expression is not equivalent to 16.
Thus, the third expression is equivalent to the 16.
More about the equivalent link is given below.
https://brainly.com/question/10498970
Answer:
The answer is C, [tex]7+\frac{45}{n}[/tex]
Step-by-step explanation:
1. if n=5 then the expression would be rewritten as [tex]7 + \frac{45}{5}[/tex]
2. 45 divide 5 is 9.
3. 9 + 7 =16
Therefore, your answer is C.
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