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Evaluate the expression \frac{90}{x} for the given values of x to complete the table....

Question:

Evaluate the expression {eq}\frac{90}{x} {/eq} for the given values of x to complete the table.

{eq}\begin{array}{|l|l|l|l|l|l|l|} \hline x &2 &3 &5 &9 &15 &18& 20\\ \hline & & & & & & \\ \hline \end{array} {/eq}

Evaluating Mathematical Expressions:

In mathematics, when we are given a mathematical expression containing variables, we can evaluate that expression for various values of the variables. We do this by plugging in the given values of the variables into the expression for the variables appropriately, and then we simplify.

Answer and Explanation:

We want to evaluate the mathematical expression {eq}\frac{90}{x} {/eq} for each of the given values of x, which are 2, 3, 5, 9, 15, 18, and 20. To do this, we simply plug each of these values into the expression for x, and simplify.

  • x = 2: {eq}\frac{90}{2}=45 {/eq}
  • x = 3: {eq}\frac{90}{3}=30 {/eq}
  • x = 5: {eq}\frac{90}{5}=18 {/eq}
  • x = 9: {eq}\frac{90}{9}=10 {/eq}
  • x = 15: {eq}\frac{90}{15}=6 {/eq}
  • x = 18: {eq}\frac{90}{18}=5 {/eq}
  • x = 20: {eq}\frac{90}{20}=4.5 {/eq}

Now, we can plug these into our table to complete the table.

x 2 3 5 9 15 18 20
{eq}\frac{90}{x} {/eq} 45 30 18 10 6 5 4.5

Learn more about this topic:

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What is a Mathematical Expression? - Definition & Examples

from PSAT Prep: Tutoring Solution

Chapter 10 / Lesson 14
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