answer:To solve this problem, we need to determine the value of x, which represents the number of units the x-value increases by when the y-value increases by 21 units. We know that when the x-value increases by 3 units, the y-value increases by 7 units. Therefore, the ratio of x to y is 3:7. We can set up the equation as follows: 3/7 = X/21 To solve for x, we cross-multiply and then divide: 3 * 21 = 7 * X 63 = 7X To isolate x, we divide both sides of the equation by 7: 63/7 = X 9 = X The value of x is 9. The answer is: 9

answer:To solve this problem, we need to determine the value of x, which represents the unknown variable in the expression 3 @ X. We are given that 3 @ X = -6. We can substitute the given information into the definition of the operator @: 3 @ X = 3 * 3 - 3 * X = -6 9 - 3X = -6 To isolate X, we subtract 9 from both sides of the equation: 9 - 9 - 3X = -6 - 9 -3X = -15 Finally, we divide both sides of the equation by -3 to solve for X: X = -15 / -3 X = 5 The value of x is 5. The answer is: 5

answer:Ben works 8-hour shifts, so in a day, he works 8 hours. In a span of 10 days, he works 8 hours/day x 10 days = 80 hours. It takes him 5 hours to build 1 rocking chair, so in 80 hours, he can build 80 hours / 5 hours/chair = 16 chairs. 16 The answer is: 16

answer:Let x be the number of 3 cent stamps and y be the number of 4 cent stamps. We want to find the smallest x+y such that 3x+4y=33. We can rewrite this equation as y=frac{33-3x}{4}. To find the smallest x+y, we want to minimize x+y subject to the constraint that x and y are both positive integers. We can start by setting x=1 and solving for y to get y=frac{30}{4}=7.5, which is not a positive integer. We continue this process, increasing x by 1 each time, until we find a solution that results in a positive integer for y. When x=3, we have y=frac{33-3(3)}{4}=6, which is a positive integer. Therefore, the smallest number of stamps Bryan can combine is x+y=3+6=boxed{9}. The answer is: 9