answer:If Bailey scored 14 points, then Michiko scored half as many points, which is 14/2 = 7 points. Akiko scored 4 more points than Michiko, so Akiko scored 7+4 = 11 points. Chandra scored twice as many points as Akiko, so Chandra scored 11*2 = 22 points. The total points scored by the team in the final game of the season is 14+7+11+22 = 54 points. 54 The answer is: 54

answer:The prime factorization of 120 is 2^3 cdot 3 cdot 5. To find the smallest positive integer x that is coprime with 120, we need to find a number that does not have any factors of 2, 3, or 5. Since x must be greater than 1, the smallest such number is boxed{7}. The answer is: 7

answer:Layla has 2 Goldfish and each needs 1 teaspoon of food, so the Goldfish need 2 x 1 = 2 teaspoons of food. She also has 3 Swordtails and each needs 2 teaspoons of food, so the Swordtails need 3 x 2 = 6 teaspoons of food. And she has 8 Guppies and each needs half a teaspoon of food, so the Guppies need 8 x 0.5 = 4 teaspoons of food. In total, Layla needs to give her fish 2 + 6 + 4 = 12 teaspoons of food. 12 The answer is: 12

answer:We know that tan K = frac{3}{2} = frac{JK}{KL}. Therefore, JK = frac{3}{2} KL. Using the Pythagorean Theorem, we have JK^2 + KL^2 = JL^2. Substituting frac{3}{2} KL for JK, we have left(frac{3}{2} KLright)^2 + KL^2 = JL^2. Simplifying, we get frac{9}{4} KL^2 + KL^2 = JL^2. Combining like terms, we have frac{13}{4} KL^2 = JL^2. Taking the square root of both sides, we have frac{sqrt{13}}{2} KL = JL. Since JL = KL + JK, we have frac{sqrt{13}}{2} KL = KL + frac{3}{2} KL. Simplifying, we have frac{sqrt{13}}{2} KL = frac{5}{2} KL. Dividing both sides by KL, we have frac{sqrt{13}}{2} = frac{5}{2}. Therefore, KL = boxed{sqrt{13}}. The answer is: sqrt{13}