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The product of two positive consecutive integers is 210 Find the integers?
14, 15 14 x 15 = 210 Let x equal 1st integer, let (x + 1) = 2nd integer x(x + 1) = 210 x^2 + x = 210 distributive prop x^2 + x - 210 = 0 (x - 14)(x + 15) = 0 factor the trinomial x = 14 or -15, but -15 isn't positive so we eliminate that answer So x = 14 and (x + 1) = 15
What is the answer to X squared - x?
x^2-15x+14=0 Delta = (-15)^2-4*1*14 = 169 = 13^2 so x=(15-13)/2=1 or x=(15+13)/2=14
What is 15 percent off of 14 dollars?
$11.90 is $14 with 15% off. [ 100%-15% = 85%; 85% X $14 = $11.90. ]
The sum of two numbers is 15. their quotient is 14. what are the two numbers?
(1) x + y = 15(2) x/y = 14Solving (1) and substituting in (2)...x = 15 - y15-y/y = 1414y = 15 - y15y = 15y = 1x = 14================================The sum of 1 + 14 = 15The quotient of 14/1 = 14
What fraction is bigger 7-8 or 14-15?
14/15: In decimal, 7/8 is .875 In decimal, 14/15 is .9333 (threes go on forever)
How would you solve 15x 14 -16?
(15 x 14) - 16 = 194 15 x 14 = (15 x 4) + (15 x 10) = 60 + 150 = 210 so 210 - 16 = 194
What is the prime factorization of 14 and 15?
2 x 7 = 14 3 x 5 = 15
The product of two positive consecutive integers is 210 Find the integers?
14, 15 14 x 15 = 210 Let x equal 1st integer, let (x + 1) = 2nd integer x(x + 1) = 210 x^2 + x = 210 distributive prop x^2 + x - 210 = 0 (x - 14)(x + 15) = 0 factor the trinomial x = 14 or -15, but -15 isn't positive so we eliminate that answer So x = 14 and (x + 1) = 15
What is the answer to X squared - x?
x^2-15x+14=0 Delta = (-15)^2-4*1*14 = 169 = 13^2 so x=(15-13)/2=1 or x=(15+13)/2=14
Find the number which when multiplied by 15 is increased by 196?
Let the number be x.15 * x= x+196Then, 15x - x =196‹=› 14 x= 196‹=› x = 14.
What is the answer to (x 2)-3?
x^2-15x+14=0 Delta = (-15)^2-4*1*14 = 169 = 13^2 so x=(15-13)/2=1 or x=(15+13)/2=14
What is three times the difference of a number x and nine equals fifteen?
3(x - 9) = 15 3x - 27 = 15 3x = 42 x = 14 Check it. 3(14 - 9) = 15 3 x 5 = 15 It checks.
What is the least common multiple of 14 and 15?
The LCM of 15 and 14 is 210, which is the multiple of the combined prime factors of both numbers (2 x 3 x 5 x 7). Since 14 and 15 have no common factors, the LCM is going to be 15*14=210.The Least Common Multiple (LCM) for 15 14 is 210.
What is the answer to x squared-15x 140?
x^2-15x+14=0 Delta = (-15)^2-4*1*14 = 169 = 13^2 so x=(15-13)/2=1 or x=(15+13)/2=14
What is 15 percent off of 14 dollars?
$11.90 is $14 with 15% off. [ 100%-15% = 85%; 85% X $14 = $11.90. ]
How can you solve the problem finding two consecutive positive integers whose product is 210?
Let x = first positive integer the x + 1 is the next positive integer the product is x (x+1) = 210 x^2 + x = 210 x^2 + x - 210 = 0 Use quadratic equation to solve, or factor (X+15) (X-14 ) = 0 x = +14 or X = -15 The positve one is x = 14 X + 1 = 15 ANS: 14 and 15
The sum of two numbers is 15. their quotient is 14. what are the two numbers?
(1) x + y = 15(2) x/y = 14Solving (1) and substituting in (2)...x = 15 - y15-y/y = 1414y = 15 - y15y = 15y = 1x = 14================================The sum of 1 + 14 = 15The quotient of 14/1 = 14
