The following divisibility rules may be important for the nature of such a problem. For divisibility by 2, the units digit of the number should end in either 0; 2; 4; 6 or 8.For divisibility by 3, the sum of the digits of the number should be divisible by 3.For divisibility by 5, the units … Read more
Let "x" represent the number:6x + 10 = 4x - 4 (ten increased by six times a number equals four less than 4 times the number)6x - 4x + 10 - 10 = 4x - 4x - 4 - 10 (subtract 4x and 10 from both sides)2x = -14 (collect terms)2x/2 = -14/2 … Read more
A jar has ten coins in it. Two of them are nickels, three of them are pennies, three of them are quarters, and two of them are dimes. If one coin is taken out of the jar randomly, what is the probability that it will be a dime?
P = (number of favourable outcomes) / (total number of outcomes)Total number of outcomes = 2 Nickels + 3 Pennies + 3 Quarters + 2 Dimes = 10 CoinsWe are interested in the probability of selecting dime = 2/10 = 1/5
Apply the law: A^-x = 1/(a ^ x) 10^-4 = 1/(10^4) (apply the above law) = 1/(10000) (expand the denominator) = 0.0001 (convert to a decimal of you desire)
New Price = Old Price - (Discount * Old Price) New Price = $4.60 - (1/4 * $4.60) = $4.60 - ($4.60/4) = $4.60 - $1.15 = $3.45
This is a really great question, but I'm afraid it doesn't have a precise answer. There are a million-and-one diets out there, and there isn't a specific one that works for everyone. Finding the right diet for you is the key to getting in shape - so I'd recommend trying the ones that sound most … Read more
The digits 1,2,3,4,5,6,7 are written on separate cards.Three are drawn and placed in the order of drawing. In how many ways can numbers that are greater than 500 be formed? Please explain it in layman's terms... Thank you.
In order to make a number greater than 500, the first digit drawn must be 5, 6, or 7. That is, it must be one of three specific digits. The next number drawn will be any of the 6 remaining cards, and the final number drawn will be any of the 5 remaining cards. In … Read more