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# Recent problems solved by 'Fombitz'

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 test/314050: what is the discriminate of 2x^2 -3x -5 = 0?1 solutions Answer 224543 by Fombitz(13828)   on 2010-06-14 08:33:56 (Show Source):
 Numbers_Word_Problems/314047: How many odd 2-digit positive integers less than 50 are there?1 solutions Answer 224541 by Fombitz(13828)   on 2010-06-14 08:32:15 (Show Source): You can put this solution on YOUR website!From 1 to 49, there are 25 odd numbers.
 logarithm/313667: solve the equation log(5x-1) + log(x+2)=11 solutions Answer 224270 by Fombitz(13828)   on 2010-06-12 14:37:04 (Show Source): You can put this solution on YOUR website! Use the quadratic formula, Only the positive solution will be considered since the log function requires non-negative arguments. or approximately,
 Polynomials-and-rational-expressions/313670: Factor (x + 1)( x - 5) = 161 solutions Answer 224267 by Fombitz(13828)   on 2010-06-12 14:30:47 (Show Source): You can put this solution on YOUR website! Two solutions: . . .
 Rate-of-work-word-problems/313606: A certain country's population P(t), in millions, t years after 1980 can be approximated by P(t) = 5.495(1.016)t . In what year did the country's population reach 3 million?1 solutions Answer 224264 by Fombitz(13828)   on 2010-06-12 14:28:14 (Show Source): You can put this solution on YOUR website! At time t=0, the population was already 5.495 million and increasing. Please re-check your problem setup.
 test/313627: Find an equation of the line containing the point (6,-4) and with the slope m=-2.1 solutions Answer 224242 by Fombitz(13828)   on 2010-06-12 11:53:44 (Show Source): You can put this solution on YOUR website!Use the point-slope form of a line,
 test/313633: Find an equation of the line that y-intercept (0,-2) and is parallel to 2y-5x=10.1 solutions Answer 224241 by Fombitz(13828)   on 2010-06-12 11:51:28 (Show Source): You can put this solution on YOUR website!A parallel line would have the same left hand side. Use the point to determine the right hand side.
 logarithm/313535: How do you solve this equation? 6.2e^(0.64t)=3e(t+1)1 solutions Answer 224215 by Fombitz(13828)   on 2010-06-12 07:16:27 (Show Source): You can put this solution on YOUR website!I'm assuming this is your equation.
 Equations/313551: -2+x= |5-9| i dont know how to simplify the last part1 solutions Answer 224214 by Fombitz(13828)   on 2010-06-12 07:12:18 (Show Source): You can put this solution on YOUR website!The absolute value always returns a non-negative answer. So the equation becomes,
 Probability-and-statistics/313596: find the probability of randomly selecting a King or a red card from a standard deck of cards1 solutions Answer 224213 by Fombitz(13828)   on 2010-06-12 07:10:03 (Show Source): You can put this solution on YOUR website!P(K)=4/52=1/13 P(red)=13/52=1/4 P(red K)=2/52 Subtract the red Kings so as not to count them twice. P(R or King)=P(K)+P(red)-P(red K)= It's the same as all of the reds plus the 2 black kings.
 decimal-numbers/313576: I need to find the quotient of 4 1/2 by 7/8.1 solutions Answer 224212 by Fombitz(13828)   on 2010-06-12 07:07:27 (Show Source): You can put this solution on YOUR website!First change the mixed number to a fraction. Dividing by a fraction is the same as multiplying by its reciprocal.
 Points-lines-and-rays/313527: if A(a,0) and B(a,2b) are the endpoints diameter AB, represent the area of the circle in terms of b.1 solutions Answer 224203 by Fombitz(13828)   on 2010-06-11 23:50:12 (Show Source): You can put this solution on YOUR website!The distance from A to B would be the diameter. Use the distance formula, Then the area of a circle in terms of the diameter, D, is,
 Polynomials-and-rational-expressions/313555: Factor y^2 + 5y - 361 solutions Answer 224200 by Fombitz(13828)   on 2010-06-11 23:45:28 (Show Source):
 Unit_Conversion_Word_Problems/313478: 2.1 liters equals how many ml? 1 solutions Answer 224152 by Fombitz(13828)   on 2010-06-11 16:40:08 (Show Source): You can put this solution on YOUR website!There are 1000 ml in 1 liter. 2.1 liters (1000 ml/liter)=2100 ml.
 Radicals/313454: (3+ √x)^2+3(3+ √x)-10=0 How do I do this and then plug in solutions to check if they work 1 solutions Answer 224151 by Fombitz(13828)   on 2010-06-11 16:37:09 (Show Source): You can put this solution on YOUR website!See Question 313371 for the solution. To check the solution, plug in the answer and see if it satisfies the equation.
 Average/313496: ryans first four test grades are 85 89 87 and 96 what is the lowest grade ryan can get on his next test so that the average of the five test grades will be at least a 90?1 solutions Answer 224149 by Fombitz(13828)   on 2010-06-11 16:34:46 (Show Source): You can put this solution on YOUR website!Let T be Ryan's grade on his next test. Now solve for T.
 Inequalities/313395: I need help on solving the inequality *note This is x squared X2+5x<2x+10 x interceps are (-5,0), (2,0)1 solutions Answer 224147 by Fombitz(13828)   on 2010-06-11 16:33:03 (Show Source): You can put this solution on YOUR website! Break up the number line into 3 regions. Region 1: (,) Region 2: (,) Region 3: (,) . . . Choose a point in each region (not an endpoint) and test the inequality If it solves the inequality, the region is included in the solution region. If it doesn't, the region is not included. . . . Region 1: False, region 1 is not in the solution region. . . . Region 2: True, region 2 is in the solution region. . . . Region 3: False, region 3 is not in the solution region. . . . Region 2 is the solution region:(,) . . . Graphically that is the region when the function drops below the x-axis.
 Probability-and-statistics/313434: A manufacturer's automobile serial number consists of 2 letters of the alphabet, followed by 6 nuerical digits. How many different serial numbers are possible?1 solutions Answer 224146 by Fombitz(13828)   on 2010-06-11 16:22:12 (Show Source):
 Length-and-distance/313427: Find the distance between these two points: (6,4) and (-3,5) Thanks.1 solutions Answer 224145 by Fombitz(13828)   on 2010-06-11 16:20:42 (Show Source): You can put this solution on YOUR website!Use the distance formula,
 Quadratic_Equations/313486: Find an equation that has the given solutions: X=-2i and X=-3i How do I proceed?1 solutions Answer 224139 by Fombitz(13828)   on 2010-06-11 15:33:34 (Show Source): You can put this solution on YOUR website!Complex roots only come in complex conjugate pairs. So if is a root so is . Same for . So the equation looks like, where A is any non-zero constant.
 Linear-equations/313488: if 9 and y have the same average as 3,6 and 27 what is the value of y?1 solutions Answer 224136 by Fombitz(13828)   on 2010-06-11 15:28:18 (Show Source):
 Miscellaneous_Word_Problems/313430: A student gets on the elevator on the first floor. The elevator stops at the second floor to let 3 people get on. It then stops at the third floor to let 2 people get off and 5 people get on. There are now 8 people on the elevator. How many people were on the elevator before the student got on it when it was on the first floor? I worked backwards: 8+5=13, 13-2=11, 11+3=14 the asnwer is 14? (did not count the student) is this correct?1 solutions Answer 224110 by Fombitz(13828)   on 2010-06-11 13:55:53 (Show Source): You can put this solution on YOUR website!Let's work it forward and see. Let's say there were people in the elevator when the student got on. First floor: Second floor: Third floor: . . . Check the answer 1st floor: person+student= 2nd floor: 3rd floor: The answer is verified.
 Numbers_Word_Problems/313399: Three times the first of three consecutive numbers is four more than two times the second. 3x=2(x+1)+4 3x=2(x+2)+4 3x=2(x+3)+4 is this how I would set it up?1 solutions Answer 224107 by Fombitz(13828)   on 2010-06-11 13:36:28 (Show Source): You can put this solution on YOUR website!Which equation? You have 3 of them. One of them is correct. . . . First, identify your variables. - first number - 1st consecutive number, second number - 2nd consecutive number, third number . . . 3*First=4+2*Second . . .
 Rational-functions/313460: 1/Rt = 1/R1 + 1/R2 + 1/R3 solve for R21 solutions Answer 224102 by Fombitz(13828)   on 2010-06-11 13:20:45 (Show Source):
 Complex_Numbers/313420: I wondered how to check and see if my answer is correct. The problem is (3+4i)/4i, so I divided the 3 and 4i by 4i and ended up with 1+3/4i. Then I multiplied top and bottom by -4i, and I got 1-12i/16, which reduced down to 1-3i/4. Is there a way to check and see if my answer is correct?1 solutions Answer 224092 by Fombitz(13828)   on 2010-06-11 11:00:34 (Show Source): You can put this solution on YOUR website! Yes, you're correct. Just reduce your answer to simplest terms.
 Pythagorean-theorem/313426: Divide, rationalize the denominator if necessary, then simplify the radical expression: (sqrt80n^3)/ sqrt2 Completely stuck...THANKS!1 solutions Answer 224090 by Fombitz(13828)   on 2010-06-11 10:51:42 (Show Source):
 Points-lines-and-rays/313374: Determine whether the lines 5y = 4x + 10 and 4y = -5x + 4 are parallel, perpendicular or neither1 solutions Answer 224088 by Fombitz(13828)   on 2010-06-11 10:11:34 (Show Source): You can put this solution on YOUR website!Put both lines in slope-intercept form, . . . Parallel lines have identical slopes, which is not the case here. Perpendicular line have slopes that are negative reciprocals. The lines are perpendicular.
 Finance/313368: Given the hypatenuse of sqrt3 what would the other 2 sides be? I think I am missing information but this is all I was given 1 solutions Answer 224087 by Fombitz(13828)   on 2010-06-11 10:08:42 (Show Source): You can put this solution on YOUR website!Yes, you either need another angle or a side.
 Divisibility_and_Prime_Numbers/313366: A prime number is a positive integer greater than 1 divisible by only 1 and itself. How many prime numbers are between 100 and 110? (A) 1 (B) 2 (C) 3 (D) 4 (E) 51 solutions Answer 224086 by Fombitz(13828)   on 2010-06-11 10:07:30 (Show Source): You can put this solution on YOUR website!101 103 107 109 4 of them D) is the correct answer.
 Unit_Conversion_Word_Problems/313410: If one strand of optical fiber weights 1.19x10 to the negative 13 16/m? What is the mass in kilogram?1 solutions Answer 224085 by Fombitz(13828)   on 2010-06-11 10:06:10 (Show Source): You can put this solution on YOUR website!What are the units of the optical fiber weight? ? How is that related to kilos? Each fiber weighs .