This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — here are the solutions to the remaining problems: Grid Problem (Question 18): The grid is: 20x & 10x \\ ? & 14x \\ 17x & 27x The pattern is that the sum of the numbers in the first column is equal to the sum of the numbers in the second column. Let the missing value be y. Step 1: Calculate the sum of the first column. 20x + y + 17x = 37x + y Step 2: Calculate the sum of the second column. 10x + 14x + 27x = 51x Step 3: Equate the sums of the columns. 37x + y = 51x Step 4: Solve for y. y = 51x - 37x y = 14x The missing value is 14x. Grid Problem (Question 19): The grid is: 3m & 2m \\ 5m & ? \\ 8m & 7m The pattern is that the sum of the numbers in the first column is equal to the sum of the numbers in the second column. Let the missing value be z. Step 1: Calculate the sum of the first column. 3m + 5m + 8m = 16m Step 2: Calculate the sum of the second column. 2m + z + 7m = 9m + z Step 3: Equate the sums of the columns. 16m = 9m + z Step 4: Solve for z. z = 16m - 9m z = 7m The missing value is 7m. Pie Chart Analysis: The pie chart shows 720 children born between January and May 2001. Step 1: Determine the angle for each month. March: 100^ (given) April: 36^ (given) February: The right angle symbol between Feb and March indicates that the angle for February is 90^. January: The right angle symbol between Jan and May indicates that the angle for January is 90^. May: The sum of angles in a circle is 360^. Sum of known angles = Angle(Jan) + Angle(Feb) + Angle(March) + Angle(April) = 90^ + 90^ + 100^ + 36^ = 316^ Angle(May) = 360^ - 316^ = 44^. Step 2: Calculate the number of children for each month. The total number of children is 720, corresponding to 360^. Number of children per degree = (720)/(360) = 2 children per degree. Children in January: 90^ × 2 = 180 children Children in February: 90^ × 2 = 180 children Children in March: 100^ × 2 = 200 children Children in April: 36^ × 2 = 72 children Children in May: 44^ × 2 = 88 children What's next? Send 'em!