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
Right Ngoh, let's go. Step 1: Convert "twenty - three point seven five million" to figures. 23.75 million = 23.75 × 1,000,000 = 23,750,000 The number in figures is 23,750,000. Step 2: Calculate Michael Jackson's birth year. Michael Jackson died in 2009 at the age of 50. Birth Year = Death Year - Age at Death Birth Year = 2009 - 50 = 1959 The year he was born is 1959. Step 3: Calculate the percentage of pupils who love neither football nor handball. Total pupils = 20. Pupils who love football (F) = 13. Pupils who love handball (H) = 8. Pupils who love both (F H) = 5. First, find the number of pupils who love at least one sport: |F H| = |F| + |H| - |F H| |F H| = 13 + 8 - 5 |F H| = 21 - 5 = 16 Number of pupils who love neither sport: Neither = Total Pupils - |F H| Neither = 20 - 16 = 4 Percentage of pupils who love neither sport: Percentage = Number who love neitherTotal Pupils × 100\% Percentage = (4)/(20) × 100\% = (1)/(5) × 100\% = 20\% The percentage of pupils who love neither football nor handball is 20\%. Step 4: Calculate the angle represented by quarter past 12noon. Quarter past 12noon is 12:15. The hour hand moves 360^ in 12 hours, so 30^ per hour or 0.5^ per minute. The minute hand moves 360^ in 60 minutes, so 6^ per minute. Angle of the hour hand at 12:15: Hour hand angle = (12 × 30^) + (15 × 0.5^) = 360^ + 7.5^ = 367.5^ Since 360^ is a full circle, this is equivalent to 7.5^ from the 12. Angle of the minute hand at 12:15: Minute hand angle = 15 × 6^ = 90^ The angle between the hands is the absolute difference: Angle = |90^ - 7.5^| = 82.5^ The angle represented is 82.5^. Step 5: Convert 62 (denary) to hexal (base 6). Divide 62 by 6: 62 ÷ 6 = 10 remainder 2 Divide 10 by 6: 10 ÷ 6 = 1 remainder 4 Divide 1 by 6: 1 ÷ 6 = 0 remainder 1 Reading the remainders from bottom to top, we get 142. So, 62_10 = 142_6. The hexal number is 142. Step 6: Calculate the total volume of the drum. Let V be the total volume of the drum in liters. Initially, the drum is (3)/(4) full, so the volume is (3)/(4)V. After withdrawing 60 liters, the volume is (1)/(3) full, so the volume is (1)/(3)V. Set up the equation: (3)/(4)V - 60 = (1)/(3)V Subtract (1)/(3)V from both sides and add 60 to both sides: (3)/(4)V - (1)/(3)V = 60 Find a common denominator for the fractions (12): (9)/(12)V - (4)/(12)V = 60 (5)/(12)V = 60 Multiply both sides by (12)/(5): V = 60 × (12)/(5) V = 12 × 12 V = 144 liters The drum can hold 144 liters when full. Step 7: Calculate the selling price to gain 30%. The man sold the article for 38,400 FRS at a loss of 25%. This means 38,400 FRS represents 100\% - 25\% = 75\% of the cost price (CP). 0.75 × CP = 38,400 CP = (38,400)/(0.75) CP = 51,200 FRS To gain 30%, the new selling price (NSP) should be 100\% + 30\% = 130\% of the cost price. NSP = 1.30 × CP NSP = 1.30 × 51,200 NSP = 66,560 FRS He was supposed to sell it for 66,560 FRS to gain 30%. Step 8: Calculate what percentage of a score is half a dozen. A score = 20. Half a dozen = 6. Percentage = Half a dozenA score × 100\% Percentage = (6)/(20) × 100\% Percentage = (3)/(10) × 100\% = 30\% Half a dozen is 30\% of a score. Step 9: Calculate the difference in their ages. Johnson's mother gave birth to his junior brother in 2018. At that time, Johnson was 9 years old. The age difference between Johnson and his junior brother is constant and is 9 years. If the baby is 9 years old today, Johnson is 9 + 9 = 18 years old today. The difference in their ages is 9 years. Step 10: Calculate the total amount raised from all passengers. Number of seats = 70. The bus had a full load, so there were 70 passengers. Each passenger paid 7,000 FRS. Total raised = Number of passengers × Cost per passenger Total raised = 70 × 7,000 FRS Total raised = 490,000 FRS The amount raised from all the passengers was 490,000 FRS. Send me the next one 📸