For 52, the factors of 52 is: 1, 2, 4, 13, 26, and 52. For 36, the factors of 36 is: 1, 2, 3, 4, 6, 9, 12, 18, 36. For 57, the factors of 57 is: 1,3,19,57 For 63, the factors of 63 is: 1, 3, 7, 9, 21, 63. For 96, the factors of 96 is: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false.
This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.
This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.
This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.
Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.
This statement is false because we found true statements earlier.
Let the number of dimes = xLet the number of quarters = y You know that each dime is worth $0.10You know that each quarter is worth $0.25 Using the variables above, we can write two equations that represents the total number of coins and total amount. x + y = 47 eq10.10x + 0.25y = 8 eq2 You can use the substitution/elimination method to solve for x and y.<span>3/6/2017 </span>| Michael J.<span> </span>