How does the range change when you include the outlier salary, $97,582?

The average of six numbers is 32. The average of the first three is 26. Find the fourth number if the average of the last two is 46.

Scott has grades of 86, 75, 79, and 95. If all of the grades count the same, what is the lowest grade he can make on the next test to have an average of 85?

A student needs a 90 average to receive an A in his math class. On the first 4 tests he scored 75, 92, 80, an 95. What grade must he receive on the 5th test to end with a 90 average.

In a math class, one of your 4 test scores is dropped. On the first three tests, you have the following scores: 78, 35, and 95. What score do you need on the next test for your average to be 75 (assuming you drop the lowest test score)?

Please give me a step-by-step explanation.

Translate the sentence into algebraic symbols. The sum of six times a number x and thirty-eight is fifty. Need Help? Read It

I have this question on my homework and I don't see a pattern. I have to explain how the trick works.  "Think of a number. Add 17. Double the result. Subtract 4. Double the result. Add 20. Divide by 4. Subtract 20. Your answer will be your original number."

In a school there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 teach both physics and mathematics. How many teach physics ?

Please finish the entire question; it has multiple parts.