Since you know a = 5√2, start by plugging that into your other equation, 2a = √2x to get an equation where x is the only variable you need to solve for:

There are two ways of solving for x:
1) Remember when you simplify radicals, you break what's underneath the radical into smaller factors. If a factor repeats under the square root, you can take two of them out and put one of them outside the radical sign (see picture for example). For this problem, you would be doing the reverse of simplifying. You have a 10 on the outside on the left of the equal sign, but a 2 underneath on both sides. If the 10 was taken out, that means there had to be two 10's underneath the radical to begin with. Those two tens would have been multiplied since they are factors, so 10 x 10 = 100. That means x = 100.
2) Solve it algebraically. Square both sides, simplify, then divide by 2:
Answer: x = 100
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The number of clocks that are not defective is an illustration of proportions
Of the 10000 clocks, 9250 are probably not defective
<h3>How to determine the number of clocks that are not defective?</h3>
From the complete question, we have the following parameter:
15 out of 200 clocks are defective
The above means that the number of clocks that are not defective is:
Not defective = 200 - 15
Not defective = 185
Express as percentage
Not defective = 185/200
Not defective = 92.5%
In 10,000 the number of clocks that are not defective would be:
Not defective = 92.5% * 10000
Not defective = 9250
Hence, 9250 of the 10000 clocks are probably not defective
Read more about proportions at:
brainly.com/question/22521330
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