Here is the 3x12 ft sheet: * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Here is one way to cut it into 9 equal pieces: * * * * * * * * * * * * * * * * * * * * *...

Here is the 3x12 ft sheet: * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Here is one way to cut it into 9 equal pieces: * * * * * * * * * * * * * * * * * * * * *...

Let's determine how many possible different variable names the compiler/interpreter may put into the symbol table. There are 26 letters in the English alphabet -- 26 names with one letter ...

The total is: 83161 + 7008 = 244169 Party a owes: (83161 / 244169)*100% = 0.340587872*100% approximately 34% Party b owes: (161008( / 244169)*100% = 0.659412128*100% approximately 66% ...

Finding integers (answer)

You could add the integers (by hand, using a calculator or computer) or you could use Gauss' famous formula for the sum of the numbers from 1 to n: Sum(from 1 to n) = n*(n+1)/2 Note (example): 1 ...

75% of her free-throws. If continued at this free-throw rate, what is the probability that she will make the next two free-throws in the next game? "makes 75%" means 3 out of 4 are successful, so the probability of making each of the next two shots is 75%. The probability...

On a recent test, "the lowest score was one fourth the highest score. If the lowest score was 25, how much higher was the highest score the options are 75, 25, 100, 4 "The lowest score was 25" "the lowest score was one fourth the highest score" ...

Password security (answer)

First, 72*72 = 5184. This is the number of possibilities, since "The 2 characters are mutually independent. Neither influences nor is influenced by the other." Second, the Rule-maker would certainly require a minimum password length. As an absurd example, if...

First strategy: Reword the problem There were 46 people at the family reunion this year. This is 15 more than those who attended last reunion. How many attended last reunion? Second step: Assign a variable to the value the problem...

Fraction of 81 (answer)

Count Percent -------- --------- 14 17.3 23 28.4 32 ...

Let x = the smaller number Then, (x+1) = the larger number ["two consecutive natural numbers"] "product of two consecutive natural numbers is 1.5 times as big as the square of the smaller number" means ...

1. What is the explicit rule for the geometric sequence? 120, 40, 40/3, 40/9, 40/27, .. an = 360/3n [for n>0] Special note: The Explicit Rule depends on the value of n, not on...

The Least Common Multiple of two numbers may be found by: [1] List the multiple of the numbers and select the lowest (least) value in both lists (in common): Multiples of 5: 0 5 10 15 ...

Multiples that are equal to 100 (answer)

To use integers (whole numbers), you must group the prime factors to get all the factors of 100. The prime factors are: 100 = 2*2*5*5 The factors of 100 are: 1 2 2 5 5 1 2 2 25 1 2 5 10 1 2 50 1 4 5 5 1 4 25 1 5 20 1 10 10 2...

The mean is the arithmetic average: (sum of values) / (count of values) The average weekly earnings for these nine employees is x: (300+300+300+300+300+300+300+300 + 1250) / 9 ≤ x ≤ (350+350+350+350+350+350+350+350...

Because the decimal number system is a positional number system, each digit is multiplied by the position value (for example, hundredth) of the position in which it is found. What happens when you square fractions ? number ...

The formula nth (answer)

The first tern in a series is a1. That is, n=1. The first term here is 9, which is (1+2)2. Each term is (n+2)2. The formula for the series is: an = (n+2)2 or an = a2 + 4n + 4 [note:...

Maths question on Factors and Primes (answer)

The prime factors: of 12: 2*2*3 of 18: 2*3*3 The LCM (Least Common Multiple; because "The club buys exactly the same number of hats and scarves") of 12 and 18 is 2*2*3*3=36 (it contains...

count number 1 1234567 2 1234568 3 1234569 4 1234578 5 1234579 6 ...

A person's average was 84% in a course. Her lowest mark was x. Her highest mark was (x)(1.25) and her middle mark was 81. What were the unknown marks. Assuming that there 3 marks: x, 81, and 1,25x, the average is: ( x + 81 + 1.25x ) / ...

find the answer of follwing question (answer)

The numbers are arranged in a table -- rows and columns. You may assume that is for a reason (since this is a reasoning problem). What reason or logic? Now, consider that the possible answers are given as "multiple choice," with only one correct answer. The...