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the number of students who study only French = f;

the number of students who study only Spanish = s;

the number of students who study both French & Spanish = b;

Thus,

the number of students who study French = f + b;

the number of students who study Spanish = s + b;

the number of students who study neither French nor Spanish = n = b (given)

=> f + s + b + n = 200 => f + s + 2b = 200 ---(1)

Given 'One-quarter of those who study Spanish also study French,' we have (s + b)/4 = b => s = 3b ---(2)

Given 'The total number who study French is 10 fewer than those who study Spanish only,' we have f + b = s - 10 => s = f + b + 10 ---(3)

From (2) and (3), we have f + b + 10 = 3b => f = 2b - 10 ---(4)

From (1) and (4), we have

f + s + 2b = 200

=> 2b - 10 + 3b + 2b = 200

b = 30

Thus, f = 2b - 10 = 2*30 - 10 = 5

Hope this helps!

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

f(x) = y

f(-3) = -5

step-by-step explanation: