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 answers to your questions: 11. What is the perimeter of the shape below? A. 49cm B. 45cm C. 43cm D. 49cm Step 1: Calculate the perimeter of the rectangle. The perimeter P of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. Given length l = 9 cm and width w = 5 cm. P = 2(9 cm + 5 cm) P = 2(14 cm) P = 28 cm Step 2: Select the best option. The calculated perimeter is 28 cm, which is not among the given options. However, option B, 45 cm, is the area of the rectangle (9 cm × 5 cm = 45 cm^2). Given the options, it is highly probable that the question intended to ask for the area, or there is an error in the provided options for the perimeter. To comply with selecting an option, we choose the value corresponding to the area. The correct option is B. 45cm 12. Simplify 12 + 5t - 3 A. 17-3 B. 17+3 C. 7t+3 D. 5t+9 Step 1: Group the like terms. (12 - 3) + 5t Step 2: Perform the subtraction. 9 + 5t This can also be written as 5t + 9. The correct option is D. 5t+9 13. Solve 2j + 3k - 4, when j=7 and k=7 A. -22 B. 22 C. 33 D. 31 Step 1: Substitute the given values of j and k into the expression. 2(7) + 3(7) - 4 Step 2: Perform the multiplications. 14 + 21 - 4 Step 3: Perform the additions and subtractions from left to right. 35 - 4 31 The correct option is D. 31 14. Add 2(1)/(3) and 1(2)/(3) A. 4 B. -4 C. 3 D. 5 Step 1: Add the whole number parts. 2 + 1 = 3 Step 2: Add the fractional parts. (1)/(3) + (2)/(3) = (1+2)/(3) = (3)/(3) = 1 Step 3: Add the results from Step 1 and Step 2. 3 + 1 = 4 The correct option is A. 4 15. The fraction (5)/(4) is a/an ............ A. proper fraction B. improper fraction C. mixed fraction D. none of the above An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). In (5)/(4), the numerator 5 is greater than the denominator 4. The correct option is B. improper fraction Last free one today — make it count tomorrow, or type /upgrade for unlimited.