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# Recent problems solved by 'Fombitz'

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 Quadratic_Equations/302654: find the coordinates of the vertex for the parabola defined by the given quadratic function f(x)=3x2+18x+8 the vertex is? (need an ordered pair)1 solutions Answer 217002 by Fombitz(13828)   on 2010-05-10 10:56:39 (Show Source): You can put this solution on YOUR website!Convert to vertex form by completing the square. where (h,k) is the vertex. . . . . . (-3,-19) . .
 Miscellaneous_Word_Problems/302613: The quantity (3 x 8^12) is how many times the quantity (3 x 8^5) ? A 7 b 8 c 21 d 8^7 e 3 x 8^7 1 solutions Answer 217001 by Fombitz(13828)   on 2010-05-10 10:53:12 (Show Source): You can put this solution on YOUR website! d) is the correct answer.
 Probability-and-statistics/302634: helen has 1/5 of her profolio in the us and 1/8 in europ and 1/10 in japan The remainder is invested in municipal bonds. What fraction of her portfolio is invested in municipal bonds? What percent is invested in municipal bonds?1 solutions Answer 217000 by Fombitz(13828)   on 2010-05-10 10:49:31 (Show Source): You can put this solution on YOUR website! Multiply numerator and denominator by 2.5 to get percent. Municipal Bonds=17/40 or 42.5%.
 Rectangles/302610: Find the length of the diagonal of a rectangle that has a length of 16 ft. and width of 10 ft.1 solutions Answer 216994 by Fombitz(13828)   on 2010-05-10 10:30:12 (Show Source): You can put this solution on YOUR website!Use the Pythagorean theorem,
 Polynomials-and-rational-expressions/302589: Hi, Can anyone please help me with this one, i'm struggling a bit. Thanks Solve for P; 0.29 = 100 X 1 SQRT(0.0029(1 - 0.0029)P)1 solutions Answer 216993 by Fombitz(13828)   on 2010-05-10 10:27:55 (Show Source):
 Exponential-and-logarithmic-functions/302549: 3e^x/4e1 solutions Answer 216992 by Fombitz(13828)   on 2010-05-10 10:23:08 (Show Source):
 Linear-equations/301750: Solve each systen of equations by graphing. X+y=4 x-y=21 solutions Answer 216371 by Fombitz(13828)   on 2010-05-07 16:31:56 (Show Source):
 Linear-systems/301745: solve each system using the substituion method. X+y=9 y=x+11 solutions Answer 216365 by Fombitz(13828)   on 2010-05-07 16:21:12 (Show Source): You can put this solution on YOUR website!1. 2. Use eq. 2 directly in eq. 1 and solve for x. Now use either equation to solve for y.
 Graphs/301746: 6x+y=44 6x+7y=28 I do it this way correct: 6x+7y(44-6x)=28 6x=308-42x=28 48x+308=28 co efficient is 48 48x+308=28 48x-336 x=7 y=44 -6(7x) 44-42 y = 21 solutions Answer 216364 by Fombitz(13828)   on 2010-05-07 16:19:18 (Show Source): You can put this solution on YOUR website!No, the solution does work. Test your solution in the original equations. . . Oops! . . . An easier way may be like this, Since they both equal set them equal to each other and solve for y. Take it from there and solve for x.
 Problems-with-consecutive-odd-even-integers/301655: Find 2 consecutive even numbers such that three times the square of the smaller one added to the square of the greater one equals 84.1 solutions Answer 216357 by Fombitz(13828)   on 2010-05-07 15:37:54 (Show Source): You can put this solution on YOUR website!Let N and N+2 be your consecutive even numbers. N is the smaller one. Two solutions: Although it solves the equation, it's not even. So it it not a solution. . . THe two numbers are 4 and 6.
 Probability-and-statistics/301727: Suppose that the variable X is normally distributed with a mean of 200 and a standard deviation of 25. (i) What proportion of X-values lies between 180 and 205? (ii) Below what value do 30 per cent of X-values lie? 1 solutions Answer 216351 by Fombitz(13828)   on 2010-05-07 15:19:43 (Show Source): You can put this solution on YOUR website!Find the z score for 180 and 205. Now lookup the area under the curve for each z score (NORMDIST in EXCEL). The difference in those is the area of interest to us. So almost 37% lies between 180 and 205. . .. The z score for 187 is 0.3015. The z score for 186 is 0.2877. The z score for 186.9 is 0.3001.
 Sequences-and-series/301734: If a1 = 4 and d = -2 what are the first four terms of the arithmetic sequence?1 solutions Answer 216349 by Fombitz(13828)   on 2010-05-07 15:09:23 (Show Source): You can put this solution on YOUR website! The first four terms are 4,2,0,and -2.
 absolute-value/301738: wahat is the value of i?1 solutions Answer 216348 by Fombitz(13828)   on 2010-05-07 15:07:40 (Show Source): You can put this solution on YOUR website! and
 Graphs/301732: graph the line: y=-2x-31 solutions Answer 216346 by Fombitz(13828)   on 2010-05-07 15:03:14 (Show Source): You can put this solution on YOUR website!. . Yes, master! . .
 Graphs/301735: Hi! What would be the three solutions of the equation y = -2x ? Thank you for your help.1 solutions Answer 216344 by Fombitz(13828)   on 2010-05-07 15:02:01 (Show Source): You can put this solution on YOUR website!There's only one solution. at . . .
 Permutations/301724: How many 3-digit numbers greater than 400 can you make using the numbers 2, 1, 4 and 3 only once each time?1 solutions Answer 216336 by Fombitz(13828)   on 2010-05-07 14:14:08 (Show Source): You can put this solution on YOUR website!The first number needs to be a 4 so that the number is > 400. That leaves 3 numbers (1,2,3) for 2 positions. numbers or by brute force, 6 numbers.
 Linear-systems/301723: The sum of two numbers is 50 and the difference is 22 . What are the numbers?1 solutions Answer 216335 by Fombitz(13828)   on 2010-05-07 14:09:32 (Show Source): You can put this solution on YOUR website!Let A and B be the numbers. Add the two equations together to get rid of B. Now use either equation to solve for B.
 Finance/301715: what is the solution of the following linear system? 4x-3y=3 2x+5y=211 solutions Answer 216326 by Fombitz(13828)   on 2010-05-07 12:58:58 (Show Source): You can put this solution on YOUR website!1. 2. Multiply eq. 2 by -2 and add to eq. 1, Then use either equation to solve for x,
 Complex_Numbers/301705: Where do i find a decent worksheet about complex numbers that i don't have to pay for? I need one for Algebra 2 cause im teaching the class next week.1 solutions Answer 216324 by Fombitz(13828)   on 2010-05-07 12:34:38 (Show Source): You can put this solution on YOUR website!http://math.about.com/od/complexnumbers/Complex_Numbers.htm
 Mixture_Word_Problems/301711: Need your help in setting this problem up. How many gallons of 20% antifreeze solution and a 10% antifreeze solution must be mixed to obtain 40 gallons of a 16% antifreeze solution?1 solutions Answer 216323 by Fombitz(13828)   on 2010-05-07 12:33:16 (Show Source): You can put this solution on YOUR website!First name the variables. A-gallons of 20% solution B-gallons of 10% solution Then set up an equation for the total volume of solution. 1. Then set up an equation for the concentration of the solution. 2. Now you have 2 equations in 2 unknowns. Solve it using substitution, elimination, etc. to get A and B. Re=post if you get stuck.
 Expressions-with-variables/301702: I need to know how to solve x+y=4 and y=3x using the substitution method.1 solutions Answer 216322 by Fombitz(13828)   on 2010-05-07 12:30:37 (Show Source): You can put this solution on YOUR website! 1. 2. Substitute eq. 2 into eq. 1 for y and solve for x. Then go back and use either equation (eq. 2 is quickest) to solve for y.
 Volume/301649: A 5-inch-thick concrete slab is being poured for a circular patio 20 feet in diameter. Concrete costs \$45 per cubic yard. Find the cost of the concrete, to the nearest cent.1 solutions Answer 216306 by Fombitz(13828)   on 2010-05-07 10:51:50 (Show Source): You can put this solution on YOUR website!Calculate the volume of a cylinder 5 inches high with a diameter of 20 feet. Convert all units to yards first. H=5 inches=5in (1 yd/36 in)= 0.167 yd D=20 ft=20 ft(1 yd/3 ft)= 6.67 yd Volume of a cylinder is, Now you have 23.34 cubic yds of concrete and it costs \$45 per cubic yd. . . . It will cost \$1050.34 for the concrete.
 Sequences-and-series/301640: if a down 1 = 4 and d=-2,what are the first four terms of the arithmetic sequence? Answer. 2,0 -2,-4 or 4,68,10 or 4,0,-4,-8 or 4,2,0,-21 solutions Answer 216305 by Fombitz(13828)   on 2010-05-07 10:47:02 (Show Source): You can put this solution on YOUR website! The first four terms would be then : , ,,
 Inequalities/301689: Solve by the elimination method x+9y=64 -x+2y=13 I need to know what the solution is has to be the orderd pair using intergers or fractions. Thanks1 solutions Answer 216304 by Fombitz(13828)   on 2010-05-07 10:43:12 (Show Source): You can put this solution on YOUR website!Add the two equations together to eliminate x and solve for y. Then use either equation to solve for x. . . . (1,7)
 Trigonometry-basics/301685: A radius with a gear of 4 inches turns though an angle of 7(pi)/8 radians. WHat distance does a point on the edge of the gear travel as the gear turns through this angle? Round your answer to the nearest tenth. PLEASE HELP! Show steps so I understand. :((1 solutions Answer 216303 by Fombitz(13828)   on 2010-05-07 10:40:13 (Show Source): You can put this solution on YOUR website!Make a circle. Mark a point on the circumference. Rotate that circle about its center 360 degrees or 2pi radians. That point just traveled the full length of the circumference. Similarly if you rotated any part of a full revolution you could calculate that distance as a portion of the circumference. Set up a ratio. Distance traveled is to the circumference as angle is to (2pi). The circumference based on the radius is, The angle traveled is, Therefore the distance traveled is, or approximately 11.0(10.995) inches.
 Probability-and-statistics/301578: A restaurant offers the following choices for breakfast: Eggs: scrambled, fried, or poached Meat: bacon, sausage, or ham Toast: wheat, white, rye, or pumpernickel 26. How many different breakfast combinations are possible if one item is selected from each list of eggs, meat,and toast choices?1 solutions Answer 216298 by Fombitz(13828)   on 2010-05-07 10:25:18 (Show Source): You can put this solution on YOUR website!What? No SPAM? Each combination requires 1 egg (3 choices), 1 meat (3 choices), and 1 toast(4 choices). Total number of combinations are,
 Numbers_Word_Problems/301632: The product of two consecutive positive odd integers is one less than twice their sum. Find the integers. 1 solutions Answer 216296 by Fombitz(13828)   on 2010-05-07 10:21:09 (Show Source): You can put this solution on YOUR website!Let N and N+2 be your odd integers. Since we're only looking for the positive answer, we won't solve the negative solution. The two integers are then 3 and 5. Verify the solution by using the original equation.
 Miscellaneous_Word_Problems/301627: a weight of 6lb stretches a spring a distance of 12in. find the constant k for the spring.1 solutions Answer 216295 by Fombitz(13828)   on 2010-05-07 10:17:25 (Show Source): You can put this solution on YOUR website!k=W/d=6/12=0.5 lb/in
 Finance/301635: Find the perimeter of a retangle that has a length of 6 miles and width of miles. Will the answer be 30?1 solutions Answer 216293 by Fombitz(13828)   on 2010-05-07 10:15:03 (Show Source): You can put this solution on YOUR website!You didn't include a value for width. Can't calculate perimeter without it. Please re-post.
 logarithm/301597: Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x = 1. Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any). y = log5x Pretty Please Help!!!! I am so lost.1 solutions Answer 216292 by Fombitz(13828)   on 2010-05-07 10:10:36 (Show Source): You can put this solution on YOUR website!What are the issues? What part are you lost on? Please be specific. It's a pretty straightforward question. Pick three x values greater than 1: 2,3,4. Three x values between zero and 1: (1/8),(1/4), (1/2) Include x=1. Evaluate the function at those points. Use a calculator or EXCEL. , , , , , , , Now plot the x-y pairs. If you look at the graph, there is a limit as x approaches 0 which would be a vertical asymptote at . That's the only one.
 Rectangles/301625: what is the perimeter of a bedroom 12 feet long and 10 feet wide?1 solutions Answer 216285 by Fombitz(13828)   on 2010-05-07 09:36:14 (Show Source): You can put this solution on YOUR website!I assume the room is a rectangle. The perimeter of a rectangle is, The perimeter is 44 feet.