Jon's vacation budget was $262.17.
We can find this by finding common fractions so as to add them together. 1/4 and 2/3 can be equivalent to 3/12 and 8/12, respectively. So when those two are added, it comes out to 11/12. That means that 11/12ths of Jon's budget is equal to $242, now we need to find out the value of 12/12 of his budget by finding the missing 1/12. In your calculator you can multiply (1/12) by $242 and add that number (20.17) to 242, and you'll get 262.16666 rounded up to 262.17.
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Answer: A; r = square root (S/4pi)
Step-by-step explanation:
1. Divide 4pi on both sides to get r^2 by itself so the left side becomes S/4pi (you do this because 4, pi, and r^2 are being multiplied together on the right side in the original equation so to cancel that out and get r by itself you do the opposite of multiplication)
The equation should now look like r^2 = S/4pi
2. Square root both sides including r to get rid of the r^2 so it becomes just r (also when you square root both sides, you square root all of S/4pi not just S or 4pi but the whole thing)
After you do that, you get r = square root (S/4pi) which is answer A
Hope this helps! :)
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