Which expression has a value of 16 when n = 5? StartFraction 25 Over n EndFraction 7 30 minus 3 n 7 StartFraction 45 Over n EndF

Question

2 years ago

3

raction n cubed minus 114.

1 answer:

Tems11 [23] · Answer 1 · 2023-04-14T20:45:50+03:00

The value of the third expression $\rm \dfrac{45}{n} + 7$ for n = 5 is 16 which is equivalent to 16.

<h3>What is an equivalent?</h3>

The equivalent is the functions that are in different forms but are equal to the same value.

Given

The expressions are shown below.

$\rm 1. \ \dfrac{25}{n} + 7\\\\2. \ 30 -3n\\\\3. \ 7+ \dfrac{45}{n}\\\\4. \ n^3 - 114$

The expression is equivalent to 16 for n = 5.

1. For n = 5, the expression will be

$\rm \dfrac{25}{n} + 7\\\\ \dfrac{25}{5} + 7\\\\5 + 7 \\12$

The expression is not equivalent to 16.

2. For n = 5, the expression will be

$\rm 30 - 3n\\30 - 3 * 5 \\30 - 15\\15$

The expression is not equivalent to 16.

3. For n = 5, the expression will be

$\rm \dfrac{45}{n} + 7\\\\ \dfrac{45}{5} + 7\\\\9 + 7 \\16$

The expression is equivalent to 16.

4. For n = 5, the expression will be

$\rm n^3 - 114 \\\\5^3 - 114 \\\\125 -114\\\\11$

The expression is not equivalent to 16.

Thus, the third expression is equivalent to the 16.

More about the equivalent link is given below.