answer:To solve this problem, we need to determine the value of x, which represents the number of round tables in the office canteen. Let's break down the information given: Number of round tables: x Number of rectangular tables: 2 Number of chairs per round table: 6 Number of chairs per rectangular table: 7 Total number of chairs: 26 We can set up the equation as follows: Number of round tables * Number of chairs per round table + Number of rectangular tables * Number of chairs per rectangular table = Total number of chairs x * 6 + 2 * 7 = 26 Let's simplify and solve for x: 6x + 14 = 26 To isolate x, we subtract 14 from both sides of the equation: 6x + 14 - 14 = 26 - 14 6x = 12 To solve for x, we divide both sides of the equation by 6: x = 12 / 6 x = 2 The value of x is 2. 2 The answer is: 2

answer:The equation of a line passing through two points (x_1, y_1) and (x_2, y_2) is given by [(y-y_1)(x_2-x_1) = (x-x_1)(y_2-y_1).] Using the points (6,8) and (-2,k), we have [(y-8)(-2-6) = (x-6)(k-8).] Simplifying, we get [-8(y-8) = (x-6)(k-8).] Using the point (-10,4), we can substitute x=-10 and y=4 into the equation to solve for k: [-8(4-8) = (-10-6)(k-8).] Simplifying, we get [32 = (-16)(k-8).] Dividing both sides by -16, we find [k-8 = -2.] Adding 8 to both sides, we find k=boxed{6}.The answer is: 6

answer:Simone ate 1/2 of an apple each day for 16 days, so she ate a total of 1/2 x 16 = 8 apples. Lauri ate 1/3 of an apple each day for 15 days, so she ate a total of 1/3 x 15 = 5 apples. Together, the two girls ate 8 + 5 = 13 apples. 13 The answer is: 13

answer:The sum 1+2+3+4+dots +48+49 is an arithmetic series with first term a=1, common difference d=1, and number of terms n=49. We can use the formula for the sum of an arithmetic series to find the sum: S=frac{n}{2}(2a+(n-1)d). Plugging in the values, we get S=frac{49}{2}(2(1)+(49-1)(1))=frac{49}{2}(2+48)=frac{49}{2}(50)=boxed{1225}. The answer is: 1225