MATH

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113. A store has 1000 candies and wants to divide them into bags. How many candies should be put in each bag so that the candies are divided equally into the smallest number of bags possible? 114. A circle has a radius of T" feet. What is the area of the circle? 115. A man wants to buy a tablet for 800 dollars. He has already saved 400 dollars. How much more money does he need to save to buy the tablet? 116. A square has an area of 144 square feet. What is the length of one side of the square? 11?. A school has 1000 students and wants to divide them into equal sections for a competition. How many students should be in each section? 118. A rectangle has a length of 60 feet and an area of 600 square feet. What is the width of the rectangle? 119. A man wants to buy a pair of shoes for 50 dollars. He has already saved 30 dollars. How much more money does he need to save to buy the shoes? 120. A triangle has a base of 40 feet and a height of 30 feet. What is the area of the triangle? 121. If a rectangular prism has a volume of 120 cubic feet and a height of 5 feet. what is its length? 122. A man wants to buy a shirt that costs $40 and a pair of pants that costs $60. How much will he spend if he will pay in cash with a $200 bill? 123. If a triangle has an area of 42 square feet and a base of ? feet. what is its height? 124. A circle has a diameter of 12 feet. What is its circumference? 125. A rectangular garden has a length of 20 feet and a width of 15 feet. How much fencing material is needed to enclose the garden? 126. If a cylinder has a height of 10 feet and a radius of 2 feet, what is its volume? 12?. A man wants to buy a laptop that costs $1000 and a phone that costs $500. How much will he spend if he will pay with a $2000 bill and a $500 check? 128. If a sphere has a volume of 1000 cubic feet. what is its radius? 129. A rectangle has an area of 144 square feet and a length of 12 feet. What is its width? 130. If a triangle has a base of 10 feet and a height of 8 feet, what is its area? 131. A man wants to buy a tablet that costs $300 and a pair of shoes that costs $80. How much will he spend if he will pay with a $500 bill? 14. 15. 16. 1?. 18. A tank can hold 200 liters of water. If it takes 5 hours to ll the tank, what is the flow rate in liters per hour? A rectangular garden has an area of 144 square meters. It the width of the garden is 12 meters. what is the length? A ship sets sail from portA to port B. The distance between the two ports is 1000 km. The ship sails at a speed of 50 kmi'hr and retums at 70 kmthr. What is the average speed otthe ship for the entire trip? A company has a total of 1500 employees, consisting of managers and workers. If 30% ot the employees are managers, how many workers are there? A man has a total of 100 coins, consisting of pennies, nickels, and dimes. If the total value of the coins is $100. how many of each coin does the man have? cylinder? 28. A car drives 200 km in 4 hours. what's the average speed? 29. If a square has an area of 144 square meters: what's the length of one side? 30. Yo: a man has 50 pennies 20 nickels, and 30 dimes: how much moneg.r does he have in total? 31. If a rectangular garden is 12 meters long and 6 meters wide' what's the area ofthe garden? \f\f10. 11. 12. 13. . A rectangular eld has a perimeter of 400m. It the width of the eld is half the length. what are the dimensions of the eld? A farmer has 100 animals. Some are chickens and some are cows. The farmer has a total of 140 legs among all the animals. How many chickens and cows does the farmer have? A person travels a certain distance at 60 kmlhr and returns at 30 kmfhr. What is his average speed for the entire trip? A water tank has a capacity of 300 liters. If it takes 3 hours to ll the tank, what is the ow rate in liters per hour? A rectangular garden has an area of 84 square meters. If the length of the garden is 9 meters. what is the width? A ship sets sail from portA to port B. The distance between the two ports is 800 km. The ship sails at a speed of 40 kmlhr and returns at 60 kml'hr. What is the average speed of the ship for the entire trip? A man has a total of 100 coins, consisting of pennies, nickels, and dimes. It the total value of the coins is $6.00: how many of each coin does the man have? A company has 500 employees. If 20% of the employees are managers: how many managers are there? A tank can hold 100 liters of water. If it takes 4 hours to ll the tank, what is the flow rate in liters per hour? A square has an area of 144 square meters. What is the length of one side of the square? A person travels a certain distance at 80 kmlhr and returns at 40 kmt'hr. What is his average speed for the entire trip? A company has a total of 1000 employees. consisting of managers and workers. If 25% of the employees are managers, how many workers are there? A man has 100 coins, consisting of pennies, nickels, and dimes. If the total value of the coins is $5.00. how many of each coin does the man have? Question 9: Show that each of the relation R in the set A = {x E 3105 512} {i} R = [(e b} : |a - b|i5 a multiple 0\"} . given by (\"J R ={{u. h]:a=b} is an equivalence relation. Find the set of all elements. related to 1 in each case. \fQuestion 3: Shaw that the relation R in the set A = {1, 2, 3, 4, 5} given by R = a. h :ah iseven ll l l l l, is an equivalence relation. Show that all the elements of {1, 3, 5} are related ti:- each other and all the elements of {2, 4} are related to each other. But no element of {1, 3, 5} is related to any element 01'2, 4}. Question 3: Let A and B be sets. Show that f: A x B . B >