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
Here are the solutions to the problems: 20. Step 1: Convert the mixed number 5 (1)/(2) to an improper fraction. 5 (1)/(2) = ((5 × 2) + 1)/(2) = (10 + 1)/(2) = (11)/(2) Step 2: Find the reciprocal of (11)/(2). The reciprocal of a fraction (a)/(b) is (b)/(a). Reciprocal of (11)/(2) = (2)/(11) The reciprocal is (2)/(11). 21. Step 1: Perform the subtraction. 2 - 3 = -1 Step 2: Find the equivalent value of -1 modulo 5. To do this, add multiples of 5 until the result is positive and less than 5. -1 + 5 = 4 So, -1 4 ±od 5. The result is 4. 22. Step 1: Recall the formula for the area of a square. Area = side × side = side^2 Step 2: Substitute the given side length, 5 cm, into the formula. Area = (5 cm)^2 = 25 cm^2 The area is 25 cm^2. 23. Step 1: Identify the value of n for the eleventh triangular number. For the eleventh triangular number, n = 11. Step 2: Substitute n=11 into the given formula (n(n+1))/(2). Triangular number = (11(11+1))/(2) Step 3: Perform the operations. (11(12))/(2) = (132)/(2) = 66 The eleventh triangular number is 66. 24. Step 1: Determine the number of 'O' symbols shown. There are 3 'O' symbols. Step 2: Multiply the number of symbols by the value each symbol represents. 3 symbols × 10 pots/symbol = 30 pots The number of pots represented is 30 pots. That's 2 down. 3 left today — send the next one.