answer:Katie has 13 pink marbles. She has 9 fewer orange marbles than pink marbles, so she has 13 - 9 = 4 orange marbles. Katie also has 4 times as many purple marbles as orange marbles, so she has 4 * 4 = 16 purple marbles. The total number of marbles that Katie has is 13 + 4 + 16 = 33 marbles. 33 The answer is: 33

answer:First, we need to find the inverse of the function f(x). From the table, we can see that f(7) = 50, so f^{-1}(50) = 7. Similarly, f(3) = 10 and f(5) = 26, so f^{-1}(10) = 3 and f^{-1}(26) = 5. Next, we can substitute these values into the expression f^{-1}(f^{-1}(50)times f^{-1}(10)+f^{-1}(26)). f^{-1}(50) = 7, f^{-1}(10) = 3, and f^{-1}(26) = 5, so the expression becomes f^{-1}(7times 3 + 5). Simplifying, we have f^{-1}(21 + 5), which becomes f^{-1}(26). From the table, we can see that f(5) = 26, so f^{-1}(26) = 5. Therefore, the final answer is boxed{5}. The answer is: 5

answer:DeShawn made 12 free-throws. Kayla made 50% more than DeShawn, which is 12 * 0.5 = 6 more free-throws. So Kayla made 12 + 6 = 18 free-throws. Annieka made 4 fewer than Kayla, so she made 18 - 4 = 14 free-throws. 14 The answer is: 14

answer:We can find the greatest common divisor (GCD) of 75 and 360 by prime factorizing each number. Prime factorization of 75: 75=3cdot5^2 Prime factorization of 360: 360=2^3cdot3^2cdot5 Now, we can find the GCD by taking the smallest exponent for each prime factor that appears in both factorizations. The common prime factors are 3 and 5, so the GCD is 3^1cdot5^1= boxed{15}. The answer is: 15