Sophia’s math test is worth 130 points and has 40 problems. Each problem is worth either 4 points or 3 points. How many of each question type were on the test?

There are 30 questions worth 3 points and 10 questions worth 4 points.

Step-by-step explanation:

If you try to plug in some numbers, you can try 20 questions for 4 and 20 questions for 3. That would add up to 140 questions. That means that the questions worth 4 points will have to be reduced that the ones worth 3 will have to increase. If you try 30 times 3, it will equal 90. You then try 10 times 4 and that equals 40. If you add 90 and 40, then you get 130. Therefore, there are 30 questions worth 3 points and 10 questions worth 4 points. :D

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80