answer:The hairstylist earns 5 for each normal haircut, so if he cuts 5 normal haircuts per day, he earns 5 * 5 = 25 for normal haircuts. He earns 6 for each special haircut, so if he cuts x special haircuts per day, he earns x * 6 = 6x for special haircuts. He earns 8 for each trendy haircut, so if he cuts 2 trendy haircuts per day, he earns 2 * 8 = 16 for trendy haircuts. The total amount of money he earns per day is the sum of the earnings from normal, special, and trendy haircuts: 25 + 6x + 16 = 41 + 6x. We are given that the hairstylist earns 413 per week, so we can write: (41 + 6x) * 7 = 413. Simplifying the left side, we get: 287 + 42x = 413. Subtracting 287 from both sides, we get: 42x = 126. Dividing both sides by 42, we get: x = 3. The value of x is 3. 3 The answer is: 3

answer:A number is divisible by 8 if and only if the last three digits form a multiple of 8. There are 10^3=1000 three-digit numbers, and 1000/8=125 of them are multiples of 8. Since the first digit cannot be 0, there are 9 choices for the first digit. Therefore, there are 9times 125=boxed{1125} four-digit integers that are divisible by 8. The answer is: 1125

answer:We can use the Euclidean algorithm to find the greatest common divisor (GCD) of 1729 and 1768. We start by finding the remainder when 1768 is divided by 1729: 1768 = 1729 cdot 1 + 39 Next, we find the remainder when 1729 is divided by 39: 1729 = 39 cdot 44 + 13 Continuing, we find the remainder when 39 is divided by 13: 39 = 13 cdot 3 + 0 Since the remainder is 0, we have found that the GCD of 1729 and 1768 is 13. Therefore, the answer is boxed{13}. The answer is: 13

answer:On Friday, they had a total of 73 + 127 + 87 = 287 customers. If they predict they'll get twice the amount of customers on Saturday, they will have 287 x 2 = 574 customers. So, they predict they will get 574 customers on Saturday. 574 The answer is: 574