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KengaRu [80]
3 years ago
13

Find the value of the variable.

B2%7D" id="TexFormula1" title="\frac{15}{11}x=(5\sqrt{15})^{2}" alt="\frac{15}{11}x=(5\sqrt{15})^{2}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
astra-53 [7]3 years ago
6 0

Heya!

<em>I'm going to skip the decimal part with the square root since its a non-terminating decimal.</em>

Steps to solve:

\frac{15}{11}x = (5\sqrt{15})^2

~Simplify

\frac{15}{11}x = 375

~Multiply \frac{11}{15} to both sides

\frac{15}{11}x * \frac{11}{15} = 375 * \frac{11}{15}

~Simplify

→ x = 275 ←

Best of Luck!

ipn [44]3 years ago
3 0

Hey there!

Your answer is x = 275.

First let's simplify the right side of the equation. I'm just going to put it into a calculator because it will get messy with decimals. But know that the operations inside parenthesis are done before squaring the value.

15 is square rooted (is that a word?), multiplied by 5, and after that it is squared. This is equal to 375.

Now we have the following:

\frac{15}{11} x = 375

Divide each side of the equation by \frac{15}{11}.

x = 275

The value of x is 275.

Hope this helps!

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