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: 16. Solve: 3x + 5 = 23 Step 1: Subtract 5 from both sides of the equation. 3x + 5 - 5 = 23 - 5 3x = 18 Step 2: Divide both sides by 3. x = (18)/(3) x = 6 The solution is 6. 17. It is a quarter to 9 o'clock. Draw a clock face to show this time. "A quarter to 9 o'clock" means 15 minutes before 9 o'clock, which is 8:45. • The minute hand points to the 9. • The hour hand is between the 8 and the 9, closer to the 9. 18. Simplify: 4x + 5y + 2x - 3y. Step 1: Group the like terms together. (4x + 2x) + (5y - 3y) Step 2: Combine the like terms. 6x + 2y The simplified expression is 6x + 2y. 19. How many quarter litre bottles can be obtained from 7 litres of water? Step 1: Divide the total volume of water by the volume of one quarter-litre bottle. Number of bottles = Total volumeVolume per bottle Number of bottles = 7 litres(1)/(4) litre/bottle Step 2: Perform the division. Number of bottles = 7 × 4 Number of bottles = 28 You can obtain 28 quarter litre bottles. 20. Calculate the length of the rectangle below whose area is 42 dm^2. The area of a rectangle is given by the formula: Area = Length × Width. Given: Area = 42 dm^2, Width = 6 dm, Length = L. Step 1: Substitute the given values into the formula. 42 dm^2 = L × 6 dm Step 2: Solve for L by dividing the area by the width. L = 42 dm^26 dm L = 7 dm The length of the rectangle is 7 dm. Send me the next one 📸