In a class of 30 students, 19 are studying French (F), 12 are studying Spanish (S) and 7 are studying both French and Spanish. How many students are not taking any foreign languages?

What is the P(FunionS)' ? Reduce the ratio for your final answer

There are 14 students not taking any foreign languages.

Step-by-step explanation: Take the total number of  students and subtract it by the number of students who are taking each class. So you would get 19 for French, 12 for Spanish, and 7 for both. Then you would add those numbers up and get a total of 38. You would then do the same except subtract each total of students by 30 to find how many of the 30 are not taking each class or both. You would then get 11 for French, 18 for Spanish, and 23 for both. Add those numbers up and get 52. Then you would subtract 38 from 52 thus giving the final answer 14.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

5

10

15

20

25

30

35

40

45

50

55