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# Recent problems solved by 'Fombitz'

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 Equations/343460: an aircraft flies 120 km south, then 150 km east, then 200 km north. how far is the aircraft its starting position?????1 solutions Answer 245774 by Fombitz(13828)   on 2010-09-15 13:27:26 (Show Source): You can put this solution on YOUR website!Let the starting point be the origin (0,0). Let east be positive x, west negative x. Let north be positive y, south negative y. . . . Starting at (0,0) 120km south: (0,0)+(0,-120)=(0,-120) 150 km east:(0,-120)+(150,0)=(150,-120) 200 km north: (150,-120)+(0,200)=(150,80) The aircraft's currently 150 east and 80 miles north of the starting point. . . . Use the distance formula to find the distance. km
 Sequences-and-series/343370: find the 1st and 10th term of sequence: a(n)= -3+(n-1)(2.2) 1 solutions Answer 245772 by Fombitz(13828)   on 2010-09-15 13:22:59 (Show Source): You can put this solution on YOUR website!I'll do one .. then you do one. . . . . . . . . . I'll start you off. Do it the same way I did. . . .
 Probability-and-statistics/343363: The question is to determine the area under the standard normal curve that lies either to the left of -2.12 or to the right of 1.67. So, this is what I came up with: 0.0170+(1-9525) =-9523 I know the answer is 0.0645, but I cannot determine how to come up with that answer. Can you help me? Thank you for any help you can give me.1 solutions Answer 245771 by Fombitz(13828)   on 2010-09-15 13:20:43 (Show Source): You can put this solution on YOUR website!Your addition is off.
 Travel_Word_Problems/343437: a plane travels 200 mph with the wind & 120 mph against the wind, find the speed of the wind & speed of plane 1 solutions Answer 245769 by Fombitz(13828)   on 2010-09-15 13:18:24 (Show Source): You can put this solution on YOUR website! Add the equations together, mph Then use either equation to solve for . mph
 Complex_Numbers/343418: How do i figure out how to Perform the indicated operations and write the result in standard form. 1 solutions Answer 245768 by Fombitz(13828)   on 2010-09-15 13:16:20 (Show Source): You can put this solution on YOUR website! where
 Radicals/343413: If √(x+5)- 3 = 1, then what is the value of x?1 solutions Answer 245766 by Fombitz(13828)   on 2010-09-15 13:13:13 (Show Source):
 Expressions-with-variables/343450: can you solve a variable x+24?1 solutions Answer 245765 by Fombitz(13828)   on 2010-09-15 13:11:50 (Show Source): You can put this solution on YOUR website!No, and without any information regarding you don't know anything else about the expression.
 logarithm/343443: solve e^x=4-x^2 for x (exact solution)1 solutions Answer 245764 by Fombitz(13828)   on 2010-09-15 13:10:47 (Show Source): You can put this solution on YOUR website! You can't find an exact solution. You need to iterate to find the solution. The solutions are in the region of and .
 Probability-and-statistics/343364: How many ways can 6 different lamps be arranged on a shelf? I got: 720 is this correct?1 solutions Answer 245762 by Fombitz(13828)   on 2010-09-15 13:04:12 (Show Source): You can put this solution on YOUR website!6 lamps taken 6 at a time. Correct. Well done!
 Angles/343331: The sum of the measures of two complementary angles is 90 degrees. If one angle measures 15 degrees more than twice the measure of its complement , find the measure of each angle. How do I figure out what numbers to use?1 solutions Answer 245741 by Fombitz(13828)   on 2010-09-15 11:16:14 (Show Source): You can put this solution on YOUR website!You need to solve 2 equations simultaneously. First name the variables. Let be the angle. Let be the complement. 1. By definition. That's the first equation. Then also, 2. Now you can substitute eq. 2 into eq. 1 and solve for . . . . degrees Then from eq. 1, degrees
 Linear_Algebra/343414: -4/5(x+3)=1/5(x-4)1 solutions Answer 245739 by Fombitz(13828)   on 2010-09-15 11:07:07 (Show Source): You can put this solution on YOUR website! Multiply both sides by .
 Mixture_Word_Problems/343327: How many gallons of a 2% salt solution must be mixed with 20 gallons of a 7% solution to obtain a 4% solution? 1 solutions Answer 245738 by Fombitz(13828)   on 2010-09-15 11:04:37 (Show Source): You can put this solution on YOUR website!Let be the amount of 2% salt solution. gallons
 Linear_Algebra/343417: -3[1+6r]=14r1 solutions Answer 245736 by Fombitz(13828)   on 2010-09-15 11:00:53 (Show Source):
 Quadratic_Equations/343421: Find the equation of the quadratic function with zeros 10 and 14 and a vertex at (12, -8).1 solutions Answer 245734 by Fombitz(13828)   on 2010-09-15 10:59:35 (Show Source): You can put this solution on YOUR website!Use the vertex form, Then use either point to solve for a. . . .
 Quadratic_Equations/343410: If a = b + 1, then what is the value of (a - b)^3 - (b - a)^3 ?1 solutions Answer 245733 by Fombitz(13828)   on 2010-09-15 10:31:44 (Show Source): You can put this solution on YOUR website! . . .
 Word_Problems_With_Coins/343408: Please help me solve this problem: How many diffrent amounts of money can you pay if you use two coins including only nickels, dimes and quarters?1 solutions Answer 245732 by Fombitz(13828)   on 2010-09-15 10:30:25 (Show Source): You can put this solution on YOUR website!N+N N+D N+Q D+D D+Q Q+Q Put the values into each and find the amount.
 Mixture_Word_Problems/343306: how many liters of 60% acid solution must be mixed with a 75% acid solution to get 20 liters of a 72% solution?1 solutions Answer 245731 by Fombitz(13828)   on 2010-09-15 10:28:19 (Show Source): You can put this solution on YOUR website!Let A be the amount of 60% acid solution, B the amount of 75% acid solution. 1. . . . 2. From eq. 1, Substitute into eq. 2, liters Then from eq. 1, liters
 Reduction-of-unit-multipliers/343405: Use two unit multipliers to convert 50 square meters to square centimeters?1 solutions Answer 245730 by Fombitz(13828)   on 2010-09-15 10:24:56 (Show Source): You can put this solution on YOUR website!50 sq.m*(100cm/1m)*(100cm/1m)=...sq.cm. Work it through to get the solution.
 Equations/343407: What is the slope and y- intercept of 5x-y+3=0?1 solutions Answer 245729 by Fombitz(13828)   on 2010-09-15 10:23:17 (Show Source): You can put this solution on YOUR website!Convert to slope intercept form, Comparing, Slope: Y-intercept:
 Expressions-with-variables/343293: I'm not sure if this is the right category but it seems correct. Example: 9x = 3x Find the value of X. I need an explanation on how to do one like the one mentioned before, and one like this: 4x (+ or -) 15 = 30. Also, 4x (+ or -) 6 = 25x. These are just examples I made up, none of them are actual questions. I just need help on the steps to solve it.1 solutions Answer 245728 by Fombitz(13828)   on 2010-09-15 10:21:28 (Show Source): You can put this solution on YOUR website!When you have an equation, you can add or subtract, multiply and divide, by any number as long as you do it to both sides of the equation (except division by zero). You want to isolate all the x terms on one side, all the constant terms on the other. Eventually you want an equation that looks like, x=...., because then you're done, you've solved the problem. Here's an example. Add to both sides, to remove it from the right hand side. Subtract from both sides, to remove it from the left hand side. Divide both sides by . You're done, you've solve for x. You can verify the solution by plugging it into your original equation. Multiply both sides by 3 to eliminate the fractions. True, so the solution is valid. . . . Not all equations have a solution. Subtract from both sides. That's obviously not true, so no x solves that problem. There is no solution. . . . Here are your two examples without all of the steps. Make sure you understand how to go from 1 step to the next. . . . . . . Good luck.
 Human-and-algebraic-language/343277: seven more than four times a number is the same as five less than eight times the number what is the number1 solutions Answer 245727 by Fombitz(13828)   on 2010-09-15 10:11:37 (Show Source): You can put this solution on YOUR website!Let the number be . "seven more than four times a number": "five less than eight times the number":
 Numbers_Word_Problems/343283: find two consecutive odd integers such that three times the first plus two times the second is 391 solutions Answer 245726 by Fombitz(13828)   on 2010-09-15 10:09:41 (Show Source): You can put this solution on YOUR website!Let the two consecutive odd integers be and The integers are and .
 decimal-numbers/343403: What is (4 times 10 to the seventh power) x (2 times 10 to negative eleventh power)?1 solutions Answer 245725 by Fombitz(13828)   on 2010-09-15 10:07:42 (Show Source):
 Numbers_Word_Problems/343289: A mechanic has two antifreeze solutions. One is 70% antinfreeze and the other is 40% antifreeze. How much of each solution should be mixed to make 60 gallons of a solution that is 52% antifreeze?1 solutions Answer 245706 by Fombitz(13828)   on 2010-09-15 09:02:18 (Show Source): You can put this solution on YOUR website!Let A be the amount of 70% antinfreeze, B the amount of 40% antifreeze. 1. . . . 2. From eq. 1, Substitute into eq. 2, gallons Then from eq. 1, gallons
 Unit_Conversion_Word_Problems/343279: How many Calories are in 1 breakfast roll if it has 30.g of carbohydrate, 15 g of fat, and 5 g of protein1 solutions Answer 245705 by Fombitz(13828)   on 2010-09-15 08:58:47 (Show Source): You can put this solution on YOUR website!There are roughly 4 cal/g for protein and carbs, 9 cal/g for fat Complete the calculation for the final answer in calories.
 Triangles/343272: Is it possible for four lines in a plane to have exactly zero points of intersection? One point? Two points? Three points? Four points? Five points? Six points? Draw a figure to support each of your answer.1 solutions Answer 245704 by Fombitz(13828)   on 2010-09-15 08:56:08 (Show Source): You can put this solution on YOUR website!Zero. . . . One . . . Three . . . Four . . . Five . . . Six
 Probability-and-statistics/343352: please help me solve what is a family's probability of having two boys and two girls, if it has four children?1 solutions Answer 245701 by Fombitz(13828)   on 2010-09-15 08:43:05 (Show Source): You can put this solution on YOUR website!Look at the possible outcomes of the children in order of birth. There are or total outcomes. 1.B B B B 2.B B B G 3.B B G B 4.B B G G 5.B G B B 6.B G B G 7.B G G B 8.B G G G 9.G B B B 10.G B B G 11.G B G B 12.G B G G 13.G G B B 14.G G B G 15.G G G B 16.G G G G Look at the outcomes that have two boys and two girls. There are 6 of them (4,6,7,10,11,13).
 Probability-and-statistics/343357: Three fair coins are tossed. What is the probability that at least two are heads? Please help solve1 solutions Answer 245697 by Fombitz(13828)   on 2010-09-15 08:36:39 (Show Source): You can put this solution on YOUR website!Look at the possible outcomes. There are 8 of them. H H H H H T H T H H T T T H H T H T T T H T T T Count the ones that have at least 2 heads. There are four of them. The probability is then 4 possible outcomes out of 8 total outcomes.
 Polynomials-and-rational-expressions/343377: Factor completely 6x^7-36x^6+18x^5 1 solutions Answer 245695 by Fombitz(13828)   on 2010-09-15 08:32:43 (Show Source):
 Polynomials-and-rational-expressions/343211: 6x^5-12x^4+18x^3=1 solutions Answer 245635 by Fombitz(13828)   on 2010-09-14 23:04:03 (Show Source):
 Linear-equations/343313: explain how to determine if an ordered pair is the solution to a system of linear equations. Give an example and explanation.1 solutions Answer 245634 by Fombitz(13828)   on 2010-09-14 23:00:59 (Show Source): You can put this solution on YOUR website!Plug the ordered pair into the equation. If it satisfies the equation, it is a solution. If it doesn't, it's not. Try (2,11) False, (2,11) is not a solution. . . . Try (-2,1) True, (-2,1) is a solution.