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
Step 1: Solve part a). Given that Ksh. 1 is equal to 0.007524 US Dollars. To find how many Kenyan shillings make 1 US dollar, we need to find the reciprocal of the given rate. 1 US dollar = (1)/(0.007524) Ksh 1 US dollar ≈ 132.9079 Ksh Rounding to two decimal places: 1 US dollar ≈ 132.91 Ksh Therefore, 132.91 Kenyan shillings make 1 US dollar. Step 2: Part b) is missing from the provided image. Step 3: Solve part c) (scale conversion). Given that 1 cm on the drawing represents 52500 m on the ground. We need to find how many cm are equivalent to 1 m. The scale is: 1 cm 52500 m To find the equivalent of 1 m in cm, divide both sides by 52500: (1)/(52500) cm (52500)/(52500) m (1)/(52500) cm 1 m As a decimal: (1)/(52500) ≈ 0.0000190476 cm Rounding to a reasonable number of significant figures, or leaving as a fraction: 1 m (1)/(52500) cm Step 4: Solve part d) (work rate problem, labeled as (c) in the question). Let the total task be 1 unit of work. • Machine A takes 8 hours, so its work rate (R_A) is (1)/(8) task/hour. • Machine B takes 10 hours, so its work rate (R_B) is (1)/(10) task/hour. • Machine A and C working together take 5 hours, so their combined work rate (R_A+C) is (1)/(5) task/hour. First, find the work rate of Machine C (R_C): R_A+C = R_A + R_C (1)/(5) = (1)/(8) + R_C R_C = (1)/(5) - (1)/(8) To subtract, find a common denominator, which is 40: R_C = (8)/(40) - (5)/(40) R_C = (3)/(40) task/hour Next, find the combined work rate of Machine B and Machine C (R_B+C): R_B+C = R_B + R_C R_B+C = (1)/(10) + (3)/(40) To add, find a common denominator, which is 40: R_B+C = (4)/(40) + (3)/(40) R_B+C = (7)/(40) task/hour Finally, determine the time it would take Machine B and Machine C working together (T_B+C): T_B+C = (1)/(R_B+C) T_B+C = (1)/(7)40 T_B+C = (40)/(7) hours As a mixed number: T_B+C = 5 (5)/(7) hours The time it would take Machine B and Machine C working together is (40)/(7) hours or 5 (5)/(7) hours. 3 done, 2 left today. You're making progress.