Ineed with this question . problem: a karate team had 6 girls and 9 boys. then 2 more girls and 3 more boys joined the team. did the ratio of girls to boys stay the same? explain.

The answer would be yes. The way to solve this is by simplifying the first ratio. The first ratio should be girls to boys, which is 6:9. And since ratio can be fractions, 6:9 could be 6/9. Since 6/9 can simplify, you would get 2/3. Now we need to add the 2 girls and 3 boys back into the ratio. The ratio would then look like 8:12. And 8:12 could be 8/12, and 8/12 can be simplify, we get 2/3. So this means that the ratio stayed the same.

First, let's solve the equation using a decimal approximation: 4x^3 = 756        divide both sides by 4x^3 = 189            take the cube root of each side (raise each side to the 1/3)x = 5.the resulting number is a number with many many decimals, possibly going on forever.  now let's solve with a simplified radical4x^3 = 756                    divide each side by 4x^3 = 189                      raise each side to the (1/3)x = 189^(1/3)the simplified radical version is more exact, and this is the version i would recommend. to understand why this is, think of the number 1/3, or one third.  written as a fraction, it expresses precisely what it is, 1 divided by 3. written as a fraction, even if we use 5 decimal places of precision, we come up with the number 0.33333. this is not exactly one third, and no number of decimal places can accurately describe the number the way (1/3) can. the same is true of our numbers above.