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In basketball, the number of points you score is given by 3x+2y+1z where x is threepointers, y is two-pointers, and z is free throws (one-pointers). What is the total number of points scored by a player who makes 3 three-pointers, 5 two-pointers, and 6 free throws? points

In basketball, the number of points you score is given by 3x+2y+1z 3 x+2 y+1 z where x x is threepointers, y y is two-pointers, and z z is free throws (one-pointers).\newlineWhat is the total number of points scored by a player who makes 33 three-pointers, 55 two-pointers, and 66 free throws?\newlinepoints

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Full solution

Q. In basketball, the number of points you score is given by 3x+2y+1z 3 x+2 y+1 z where x x is threepointers, y y is two-pointers, and z z is free throws (one-pointers).\newlineWhat is the total number of points scored by a player who makes 33 three-pointers, 55 two-pointers, and 66 free throws?\newlinepoints
  1. Substitute Values: To find the total number of points scored, we need to substitute the values of xx, yy, and zz into the given formula 3x+2y+1z3x + 2y + 1z.
  2. Calculate Three-Pointers: Substitute xx with 33 (three-pointers), yy with 55 (two-pointers), and zz with 66 (free throws) into the formula.\newlineTotal points = 3(3)+2(5)+1(6)3(3) + 2(5) + 1(6)
  3. Calculate Two-Pointers: Calculate the points contributed by three-pointers: 3×3=93 \times 3 = 9 points.
  4. Calculate Free Throws: Calculate the points contributed by two-pointers: 2×5=102 \times 5 = 10 points.
  5. Add Total Points: Calculate the points contributed by free throws: 1×6=61 \times 6 = 6 points.
  6. Perform Addition: Add the points from three-pointers, two-pointers, and free throws to get the total points.\newlineTotal points = 99 (from three-pointers) + 1010 (from two-pointers) + 66 (from free throws)
  7. Perform Addition: Add the points from three-pointers, two-pointers, and free throws to get the total points.\newlineTotal points = 99 (from three-pointers) + 1010 (from two-pointers) + 66 (from free throws)Perform the addition: 9+10+6=259 + 10 + 6 = 25 points.

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