Calculate the production rate per day.

Here are the solutions to the legible questions: 2) A soda produces 12 bottles in 3 days. How many bottles are produced in 21 days? Step 1: Calculate the production rate per day. Rate = 12 bottles3 days = 4 bottles/day Step 2: Calculate the total bottles produced in 21 days. Total bottles = 4 bottles/day × 21 days = 84 bottles The soda produces 84 bottles in 21 days. 3) Simplify the expressions: Expand 5(x+2)^2 Step 1: Expand the squared term (x+2)^2. (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4 Step 2: Multiply the result by 5. 5(x^2 + 4x + 4) = 5x^2 + 20x + 20 The expanded expression is 5x^2 + 20x + 20. Factor x^2-3x Step 1: Identify the common factor in both terms. The common factor is x. Step 2: Factor out the common factor. x^2 - 3x = x(x - 3) The factored expression is x(x - 3). 4) A number is multiplied by 7 and then decreased by 2. The result is 23. Write and solve an equation to find the number. Step 1: Let the unknown number be x. Step 2: Write the equation based on the problem description. "A number is multiplied by 7": 7x "then decreased by 2": 7x - 2 "The result is 23": 7x - 2 = 23 Step 3: Solve the equation for x. 7x - 2 = 23 Add 2 to both sides of the equation: 7x = 23 + 2 7x = 25 Divide by 7: x = (25)/(7) The number is (25)/(7). Send me the next one 📸