texas lottery days

texas lottery days

Math Help !!!!!!!!?

write a system equation for # 1 and 2 1. two trains start at the same place, traveling in opposite directions opposite, for 6 hours. After 3 hours, ar 414 miles away. How fast is each trip, if the rate of a train is 8 miles per hour faster than the other. 2. the cost of 5 tables and 20 chairs is $ 739.70. the cost of 7 tables and chairs 42 is 1378.44. find the cost of 3 tables and 12 chairs. 3.To win the Texas lottery, you must pick 6 numbers correctly out of 60. Once a number is selected, it is not replaced, what is the probability of winning the lottery (fraction correct) 4.If i drove a car / boat at an average speed of 50 miles per hour without stopping along the Equate, how long will it take to go completely around the earth (Express your anwser in days-hours-minutes-seconds)

1.) As we know the speed of both trains and we are taking into account that a train or a rate that is 8 mph more faster than the other, we can establish: x -> Rate of "slow" train x +8- -> rate of "fast" train from a distance and placed between the two trains after 3 hours is 414 miles, the equation to solve for the velocity should be: 3 (x + x = 414 or simplified 6x 24 = 414 Then solve for x, and the value Plug in the original equations of the rates of speed for the trains. 2.) Let x the price of a table and let y represent the price of a chair. On the basis of information, these two equations can be made: 5x + 20y = 7x + 42y 739.70 = 1378.44 This equation can be solved only by replacing or by solving one of the equations for one variable. Let's solve for x in the first equation: x = (739.70 – 20y) / 5 Plug this value in the second equation and solve as you would normally. Then follow the process for the problem first train. 3.) To resolve this problem, consider the odds of catching any number of 60 at random, or (1 / 60). As you take away a number, 59 are still leaving the option to select another number you want (1 / 59). The pattern continues until the 6, (1 / 54). Now, multiply fractions to find the probability of getting all these numbers you want. 4.) First find the circumference of Land in Ecuador (24901.55 miles). Then, using dimensional analysis: [(24901.55 miles) (1 hour)] [(1 hour) (50 miles)] = time to Around the World in Ecuador expressed in hours. To convert hours into days, minutes or seconds: 24 = 1 days 1 h 60 min = 3600 sec = 1 h

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