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# Recent problems solved by 'Fombitz'

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 Rational-functions/327373: Solve the following system of equations by elimination: 2x-6y=3, 4x+9y= -11 solutions Answer 234509 by Fombitz(13828)   on 2010-07-31 09:25:10 (Show Source): You can put this solution on YOUR website!1. 2. Multiply eq. 1 by (-2) and add to eq. 2, Then use either equation to solve for x.
 Quadratic_Equations/327379: I saw this problem in my textbook: A rectangle has a perimeter of 42 miles and an area of 104 square miles. Find the dimensions of the rectangle. My question is... how do you get the answer? I've tried making two equations and solving for one variable, but it didn't work.1 solutions Answer 234508 by Fombitz(13828)   on 2010-07-31 09:22:11 (Show Source): You can put this solution on YOUR website!The formula for perimeter of a rectangle is, 1. The formula for area of a rectangle is, 2. From eq. 1, Substitute into eq. 2, You can factor this quadratic, Two solutions: Then from above, . . . . . . The rectangle is 13 miles by 8 miles.
 Mixture_Word_Problems/327380: How much pure acid should be mixed with 2 gallons of a 30% acid solution in order to get 90% acid solution? round to two decimal places.1 solutions Answer 234507 by Fombitz(13828)   on 2010-07-31 09:18:20 (Show Source): You can put this solution on YOUR website!Let X be the amount of 100% acid. . . . Add 12 gallons of pure acid.
 Exponents-negative-and-fractional/327382: express the term with positive exponents only: 2x^-61 solutions Answer 234506 by Fombitz(13828)   on 2010-07-31 09:17:01 (Show Source):
 Numbers_Word_Problems/327335: The sum of three consecutive odd integers equals one less than for times the smallest integer. What are the integers. Answer known. Need to understand process. Thanks1 solutions Answer 234469 by Fombitz(13828)   on 2010-07-30 23:36:30 (Show Source): You can put this solution on YOUR website!The three consecutive integers are N, N+1, and N+2. The integers are then 4,5, and 6. Verify, True, good solution
 Word_Problems_With_Coins/327157: A box contains nickels, dimes and pennies worth \$8.40. The number of dimes is six less than twice the number of pennies and there is an equal number of dimes and nickels. How many nickels are there in the box?1 solutions Answer 234467 by Fombitz(13828)   on 2010-07-30 23:33:58 (Show Source): You can put this solution on YOUR website!P is the number of pennies, N is the number of nickels, D is the number of dimes. 1. 2. 3. . . .
 Triangles/327155: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters, how long is its base? 1 solutions Answer 234466 by Fombitz(13828)   on 2010-07-30 23:26:49 (Show Source): You can put this solution on YOUR website!For a triangle, m . . . m
 Linear-systems/327298: *Determine how many solutions exist *Use either elimination or substitution to find the solutions (if any) *Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection y = 2x + 3 and y = -x - 4 1 solutions Answer 234465 by Fombitz(13828)   on 2010-07-30 23:24:55 (Show Source): You can put this solution on YOUR website!Since they both equal y set them equal to each other to eliminate y. Now use either equation to solve for y. . . . To find x intercept, set y=0 solve for x. (-3/2,0) . . . To find y intercept, set x=0 solve for y. (0,3) . . . To find x intercept, set y=0 solve for x. (-4,0) . . . To find y intercept, set x=0 solve for y. (0,-4) . . . Now plot all of that information. . . .
 Miscellaneous_Word_Problems/327301: The perimeter of a rectangle is 230 inches. The length exceeds the width by 71 inches Find the length and the width Please help........1 solutions Answer 234464 by Fombitz(13828)   on 2010-07-30 23:21:07 (Show Source): You can put this solution on YOUR website!For a rectangle, . . . Substitute into the perimeter equation, . . .
 Volume/327188: The Palmers have a large freezer that measures 6 feet long by 2 feet wide and 2 feet tall. What is the volume of the freezer.1 solutions Answer 234463 by Fombitz(13828)   on 2010-07-30 23:18:29 (Show Source): You can put this solution on YOUR website! cubic feet
 Mixture_Word_Problems/327330: Im studying for the fire department test and one of the questions in my practice book says How many ounces of water should be added to 24 ounces of an alcohol/water solution containing 44% alcohol to dilute the mixture to 20% alchohol. This doesn't fit the formula given and im really confused, and i was wondering if this problem has a different formula? Any help is greatly appreciated. Thank You!!!!1 solutions Answer 234462 by Fombitz(13828)   on 2010-07-30 23:17:51 (Show Source): You can put this solution on YOUR website!Write a concentration equation. Let X be the number of ounces of water which would be a 0% solution. You need to add 28.8 ounces of water.
 real-numbers/327328: Please help me solve this question: Determine whether each statement is true or false and give a counterexample if the statement is false. A. The set of rational numbers is closed under subtraction. -10/(-2) = +5 = 5 B. The set of irrational numbers is closed under division. 1 solutions Answer 234461 by Fombitz(13828)   on 2010-07-30 23:15:18 (Show Source): You can put this solution on YOUR website!a) True, rational number minus rational number will give a rational number. b) False, irrational number divided by irrational number leads to rational number.
 Numbers_Word_Problems/327327: A rope 63 meters long is cut into three pieces so that the longest piece is three times the length of the shortest piece. How long is each of the three pieces? Let x=the shortest piece Let y=the middle piece Let z=the longest piece z=x(3) I have the answers it is the process I don't totally understand.1 solutions Answer 234460 by Fombitz(13828)   on 2010-07-30 23:13:11 (Show Source): You can put this solution on YOUR website! Unfortunately you have two unknowns but only one equation so you can't solve. Is there any additional information for this problem?
 Linear-equations/327168: Use the rational zero theorem descartes's rule of signs, and possibly the graph of the paolynomial function shown by a graphing utlity as an aid in obtaining the first zero or the firs root f(x)= x^3+12x^2+21x+101 solutions Answer 234459 by Fombitz(13828)   on 2010-07-30 23:11:31 (Show Source): You can put this solution on YOUR website! . . . Here's a graphing utility. Looks like you should check and to see if they're zeros.
 Graphs/327171: You want to cover a backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs \$60 and each tree is \$84, what is the maximum number of trees you can buy with a budget of \$2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer. 1 solutions Answer 234458 by Fombitz(13828)   on 2010-07-30 23:07:58 (Show Source): You can put this solution on YOUR website!30 tons of rock cost 30(50)=\$1800. You then have \$2500-\$1800=\$700 left to buy trees. . . . You can buy at most 8 trees after you bought the rock.
 Exponential-and-logarithmic-functions/327323: Graph the function, showing all asymptotes as dashed lines. list the x and y intercepts. f(x)=x-4/x+5. So far I have that the x intercept is (4,0) and the y-intercept is (0,-4/5). I'm not sure how to graph this or find the asymptotes. 1 solutions Answer 234455 by Fombitz(13828)   on 2010-07-30 23:04:26 (Show Source): You can put this solution on YOUR website!Yes, you've got the intercepts. . . . Vertical asymptotes occur when the denominator goes to zero. . . . Horizontal asymptotes occur when x goes to infinity, Horizontal asymptote: . . . . . . Sorry can't do dashed lines, asymptotes in blue and green.
 Triangles/327160: An isosceles triangle has perimeter 13 cm. Find all integral possibilities for the lengths of its sides 1 solutions Answer 234454 by Fombitz(13828)   on 2010-07-30 22:57:56 (Show Source): You can put this solution on YOUR website!1,1,11 2,2,9 3,3,7 4,4,5 5,5,3 6,6,1
 Linear-equations/327172: Use long division to divide the following polynomial (12x^2 + x-4) divided by (3x-2)1 solutions Answer 234453 by Fombitz(13828)   on 2010-07-30 22:55:59 (Show Source): You can put this solution on YOUR website! First term: Subtract from the original polynomial to get a remainder, . . . Second term: Subtract from the remainder to get the new remainder, No further division possible. Gather all of the terms and the remainder. . . .
 Polynomials-and-rational-expressions/327318: Here we go again.. List all numbers for which the rational expression is undefined. x^2-4 ______ x^2-8x+15 Thank you in advance :0 ;)1 solutions Answer 234451 by Fombitz(13828)   on 2010-07-30 22:51:09 (Show Source): You can put this solution on YOUR website!Undefined when the denominator equals zero. Two solutions: . . .
 Linear-equations/327174: use long division to divide the following polynomial 6x^3 + 13x^2 -11x-15/3x^2-x-31 solutions Answer 234450 by Fombitz(13828)   on 2010-07-30 22:48:46 (Show Source): You can put this solution on YOUR website! . . . First term: Subtract this product from the original polynomial to get the remainder. . . . Second term: Subtract this product from the remainder to get the new remainder. Now gather the terms. . . .
 Finance/327262: An item is for sale 27,000 USD. Tony can pay 7,700 downpayment and 2,400 payment every end of the month, how many regular payments of 2,400 must he make and what will be the size of the concluding payment?1 solutions Answer 234449 by Fombitz(13828)   on 2010-07-30 22:43:24 (Show Source): You can put this solution on YOUR website!Balance = \$27000-\$7700=\$19300 8 payments of \$2400=\$19200 Leaving a final \$100 payment.
 Linear-equations/327263: show a graph for the quadratic equation y=2x2+4.1 solutions Answer 234448 by Fombitz(13828)   on 2010-07-30 22:41:18 (Show Source):
 Inequalities/327283: 4 ≤ 3x + 1 ≤ 22 1 solutions Answer 234447 by Fombitz(13828)   on 2010-07-30 22:40:10 (Show Source):
 Graphs/327286: Hello. I was hoping someone could please help me with a question that I do not know how to solve. My question has two parts and is as follows: Find and graph the solution set: A. x^3 - 16x > 0 B. x^2 - 5x <= -6 I don't know how to solve these questions because they are raised to different powers, so I don't know how to solve for x. Also, could you please explain to me how I'd go about graphing these inequalities? Thank you so much.1 solutions Answer 234446 by Fombitz(13828)   on 2010-07-30 22:39:16 (Show Source): You can put this solution on YOUR website!Solved earlier today . . . Break up the number line into 4 regions: Region 1 : (,) Region 2 : (,) Region 3 : (,) Region 4 : (,) Choose a point in the region (not an endpoint). Test the inequality. If the inequality is satisfied, the region is part of the solution. . . . Region 1: False, this region is not part of the solution. . . . Region 2: True, this region is part of the solution. . . . Region 3: False, this region is not part of the solution. . . . Region 4: True, this region is part of the solution. . . . The solution region is (,) U (,). . . . Verified graphically . . . . . . Similarly, Break up the number line into 3 regions: Region 1 : (,) Region 2 : (,) Region 3 : (,) Choose a point in the region (not an endpoint). Test the inequality. If the inequality is satisfied, the region is part of the solution. . . . Region 1: True, this region is part of the solution. . . . Region 1: False, this region is not part of the solution. . . . Region 2: True, this region is part of the solution. . . . Region 3: False, this region is not part of the solution. . . . The solution region is [,]. Since the inequality includes the "=" the brackets denote that 2 and 3 are included as part of the solution. . . .
 Linear-equations/327310: how do i solve 8x-(4x-13)=491 solutions Answer 234444 by Fombitz(13828)   on 2010-07-30 22:36:07 (Show Source):
 Exponential-and-logarithmic-functions/327317: solve the equation 3rd root of x-5=51 solutions Answer 234443 by Fombitz(13828)   on 2010-07-30 22:35:17 (Show Source):
 Exponential-and-logarithmic-functions/327315: solve square root of x^2+5 =3-x1 solutions Answer 234442 by Fombitz(13828)   on 2010-07-30 22:34:29 (Show Source):
 Linear-equations/327312: i need help solving one of my homework problems the question says,Find all values of x satisfying the given condition y1=5(4x-4)-4,y2=18(x-3)+38,y1=y2 please help 1 solutions Answer 234441 by Fombitz(13828)   on 2010-07-30 22:31:08 (Show Source): You can put this solution on YOUR website! Now go back and solve for y1.
 Exponential-and-logarithmic-functions/327314: solve the equation: 3x^3/4=1921 solutions Answer 234440 by Fombitz(13828)   on 2010-07-30 22:29:10 (Show Source):
 Exponential-and-logarithmic-functions/327311: evaluate 5th root of 1540 to three decimal places1 solutions Answer 234439 by Fombitz(13828)   on 2010-07-30 22:27:45 (Show Source): You can put this solution on YOUR website!Invest in a calculator, they're very handy.
 Exponential-and-logarithmic-functions/327302: y=-log4(x+4) State the equation of the line asymptotic to the graph ( if any).1 solutions Answer 234438 by Fombitz(13828)   on 2010-07-30 22:26:39 (Show Source): You can put this solution on YOUR website! Asymptote at .