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Recent problems solved by 'Mathtut'

Mathtut answered: 3667 problems
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Polynomials-and-rational-expressions/191284: Factor completely, use grouping. 12y^2-27y+15 1 solutions Answer 143565 by Mathtut(3670)   on 2009-04-15 15:02:14 (Show Source): You can put this solution on YOUR website! : :

Polynomials-and-rational-expressions/191276: Says to factor by grouping? 40a^4-120a^2+90 1 solutions Answer 143564 by Mathtut(3670)   on 2009-04-15 14:59:23 (Show Source): You can put this solution on YOUR website! : :

Exponential-and-logarithmic-functions/191278: how do you solve this type of problemss 1 solutions Answer 143561 by Mathtut(3670)   on 2009-04-15 14:51:49 (Show Source): You can put this solution on YOUR website! where is the problem????

Polynomials-and-rational-expressions/191280: Factor the trinomial by grouping 12y^2-33y+21 1 solutions Answer 143559 by Mathtut(3670)   on 2009-04-15 14:51:12 (Show Source): You can put this solution on YOUR website! : :

Polynomials-and-rational-expressions/191282: Factor the polynomial by grouping 9x^2+90xy+225y^2 9*(x^2+10*x*y+25*y) 9*(x+5y)^2 1 solutions Answer 143558 by Mathtut(3670)   on 2009-04-15 14:49:03 (Show Source): You can put this solution on YOUR website! : :

Polynomials-and-rational-expressions/191257: Find the product. (r+7)(r-7) 1 solutions Answer 143555 by Mathtut(3670)   on 2009-04-15 14:14:01 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/191264: factor the polynomial by grouping 20x^2-41x+20 1 solutions Answer 143554 by Mathtut(3670)   on 2009-04-15 14:12:42 (Show Source): You can put this solution on YOUR website! : :

Polynomials-and-rational-expressions/191263: Multiply (2x+8y)(2x-8y) 1 solutions Answer 143553 by Mathtut(3670)   on 2009-04-15 14:08:44 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/191265: factor the trinomial by grouping 10y^2-28y+18 1 solutions Answer 143551 by Mathtut(3670)   on 2009-04-15 14:07:23 (Show Source): You can put this solution on YOUR website! : :

Polynomials-and-rational-expressions/191271: Convert the number to scientific notation. 1,934,000,000 1 solutions Answer 143549 by Mathtut(3670)   on 2009-04-15 14:00:04 (Show Source): You can put this solution on YOUR website! 1.934 x 10^9

Polynomials-and-rational-expressions/191266: Simplify this expression. (2z)^5(2z)^-2 1 solutions Answer 143548 by Mathtut(3670)   on 2009-04-15 13:58:20 (Show Source): You can put this solution on YOUR website! remember rules of like bases...just add the exponents together :

Mixture_Word_Problems/191262: Cheap Charlie is attempting to stretch his 2-liter bottle of antifreeze by diluting it with water (this is a very bad idea.). He read on carstuff.com that the antifreeze companies have made the antifreeze too strong, and all that your car really needs is a 25% antifreeze solution. How many liters of water must he add to the 2 liters of pure antifreeze to make this happen? 1 solutions Answer 143547 by Mathtut(3670)   on 2009-04-15 13:53:22 (Show Source): You can put this solution on YOUR website! amount of antifreeze remains constant....you are simply adding water. Lets call the amount of water added y : 2=.25(2+y) : 2=.5+.25y : .25y=1.5 : y=6 liters of water

Surface-area/191255: This question is from textbook GEOMETRY Seeing, Doing, Understanding I don't understand the whole area thing. Can someone please help? I'd appreciate it. Question. Tell whether you think each of the following statements is true or false. Indicate your reasoning. area of EPHD = area of GBFP. 1 solutions Answer 143541 by Mathtut(3670)   on 2009-04-15 12:47:38 (Show Source): You can put this solution on YOUR website! tutors have no access to any problems . We need ALL info to determine the solution.......thanks Mathtut. The info you gave is just for tracking purposes

Expressions-with-variables/191202: the difference of two numbers is 3 twice the smaller is 6 more than the larger.. find the two numbers 1 solutions Answer 143540 by Mathtut(3670)   on 2009-04-15 12:41:05 (Show Source): You can put this solution on YOUR website! let the numbers be a and b : a-b=3.......eq 1 2b=a+6.....eq 2 : rewrite eq 1 to a=3+b and plug it into eq 2 : 2b=b+3+6 : b=9 : a=b+3=9+3=12 :

Pythagorean-theorem/191243: This is a problem tha was on a quiz. I missed it totally. Can someone please help me? I am not sure where to place a question with sets and subsets? Is it in Algebra II or Geometry? A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows: 75 liked cherry flavor 94 liked orange flavor 22 liked both flavors. Construct a Venn diagram and answer the following: a) How many liked only orange flavor? b) How many liked only cherry flavor? c) How many liked either one or the other or both? d) How many liked neither? 1 solutions Answer 143539 by Mathtut(3670)   on 2009-04-15 12:36:37 (Show Source): You can put this solution on YOUR website! 8. A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 120 people. The results are as follows: 62 liked cherry flavor 74 liked orange flavor 35 liked both flavors. Construct a Venn diagram and answer the following: a)How many liked only orange flavor? 39 b)How many liked only cherry flavor? 27 c)How many liked either one or the other or both? 74+62-35

Quadratic_Equations/191250: Find the x values at which the following parabolas cross the x-axis. a) y= x^2 + 5x + 4 b) y= x^2 + 4x + 5 1 solutions Answer 143537 by Mathtut(3670)   on 2009-04-15 12:33:15 (Show Source): You can put this solution on YOUR website! set y=0 : a) : x=-4 and -1 (-4,0), (-1,0) : b) : Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -4 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -4 is + or - . The solution is , or Here's your graph:

Polynomials-and-rational-expressions/191216: factor out polynomial. 10a^3b^2-35a^2b+5a^4 thank you 1 solutions Answer 143506 by Mathtut(3670)   on 2009-04-15 01:17:47 (Show Source): You can put this solution on YOUR website!

Angles/191219: Two angles are complementary. They measure of the second angle is two degrees more than three times the measure of the first. Find the measures of the angles. 1 solutions Answer 143505 by Mathtut(3670)   on 2009-04-15 01:15:41 (Show Source): You can put this solution on YOUR website! let the angles be x and y : y=3x+2.......eq 1 x+y=90.......eq 2 : take y's value of 3x+2 from eq 1 and plug it into eq 2 : x+3x+2=90 : 4x=88 : x=22 : y=3(22)+2=68

percentage/191198: Hello, I would like help with the following problem,"5% of n = 11" Thank You So Much 1 solutions Answer 143498 by Mathtut(3670)   on 2009-04-15 00:08:23 (Show Source): You can put this solution on YOUR website! 5%=.05 : .05n=11 : n=220

Polynomials-and-rational-expressions/191212: please help factor out polynomial 16x^2-32x thanks --Tommy Harding 1 solutions Answer 143497 by Mathtut(3670)   on 2009-04-15 00:07:21 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/191214: please help factor out 5x^3y^2+7x^4y^3. thanks --Kyle 1 solutions Answer 143496 by Mathtut(3670)   on 2009-04-15 00:05:50 (Show Source): You can put this solution on YOUR website!

Geometry_proofs/191010: My professor changed the question from the one I previously submitted. Can someone help me with this one please: In a survey of 75 resorts, it was reported that: 45 provided refrigerators in the guest rooms 37 provided laundry services 44 provided business centers 23 provided refrigerators in the guest rooms and laundry services 29 provided refrigerators in the guest rooms and business centers 21 provided laundry services and business centers 12 provided all three features Construct a Venn diagram and use it to answer the following questions: (a) How many of the resorts provided only refrigerators in the guest rooms? (b) How many of the resorts provided exactly one of the features? (c) How many of the resorts provided at least one of the features? (d) How many of the resorts provided exactly two of the features? (e) How many of the resorts provided none of the features? 1 solutions Answer 143438 by Mathtut(3670)   on 2009-04-14 14:43:56 (Show Source): You can put this solution on YOUR website! (a)How many of the resorts provided only refrigerators in the guest rooms? 9 (b)How many of the resorts provided exactly one of the features? 9+8+3 = 20 (c)How many of the resorts provided at least one of the features? 9+8+3+10+7+12+8 = 57 (d)How many of the resorts provided exactly two of the features? 10+8+12 = 30 (e)How many of the resorts provided none of the features? 75-9-8-3-10-7-12-8 = 18 I will leave the Venn diagram to you

Linear-systems/191013: Solve by substitution. Determine whether the equation is independent, dependent or inconsistent. y = x + 4 3y - 5x = 6 Thanks! 1 solutions Answer 143436 by Mathtut(3670)   on 2009-04-14 14:35:21 (Show Source): You can put this solution on YOUR website! y = x + 4......eq 1 3y - 5x = 6....eq 2 : take y's value from eq 1 and substitute it into eq 2 : 3(x+4)-5x=6 : 3x+12-5x=6 : -2x=-6 : x=3 : y=x+4=3+4=7 : this system is consistent and independent since it has one and only one solution :

Geometry_Word_Problems/191052: In a certain right triangle, one of the acute angles measures 25 degrees. What is the measure of the other acute angle? 1 solutions Answer 143435 by Mathtut(3670)   on 2009-04-14 14:28:36 (Show Source): You can put this solution on YOUR website! since the right angle equals 90 the other two angles have to add to 90. : let x be the other acute angle : x+25=90 : x=65

Quadratic-relations-and-conic-sections/191056: y=5(x+2)^2+7 for the parabola find: the vertex, focus, directrix line (line y=) length of the latux rectum 1 solutions Answer 143434 by Mathtut(3670)   on 2009-04-14 14:26:45 (Show Source): You can put this solution on YOUR website! vertex is at (-2,7) : length of focus is 1/4(5)=1/20 so focus is at (-2,141/20) or(-2,7.05) : directrix is at y=139/20 or y=6.95 : length of latux rectum is 4(1/20)=4/20=1/5

Graphs/190962: write a formula that expresses the relationship. Use K for the constant in each case. m varies directly as p I don't get this. Please help! Thanks! 1 solutions Answer 143402 by Mathtut(3670)   on 2009-04-14 00:20:41 (Show Source): You can put this solution on YOUR website! k is the constant of variation : or m=kp

Graphs/190964: Find the variation constant and write a formula that expresses the indicated variation. c varies inversely as d, and c = 5 when d = 2 1 solutions Answer 143401 by Mathtut(3670)   on 2009-04-14 00:19:24 (Show Source): You can put this solution on YOUR website! : : or c=(5/2)d

Graphs/190965: Solve the variation. n varies directly as q, and n = 39 when q = 3. find n when q = 8. 1 solutions Answer 143400 by Mathtut(3670)   on 2009-04-14 00:16:12 (Show Source): You can put this solution on YOUR website! where k is the constant of variation : --->k=13 : --->n=104

Quadratic_Equations/190990: This question is from textbook Algebra 1 A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many of each are there? 1 solutions Answer 143399 by Mathtut(3670)   on 2009-04-14 00:12:57 (Show Source): You can put this solution on YOUR website! let d and q be th amount of dimes and quarters : d+q=103..........eq 1 .1d+.25q=15.25...eq 2 : rewrite eq 1 to d=103-q and plug it into eq 2 : .1(103-q)+.25q=15.25 : 10.3-.1q+.25q=4.90: .15q=4.95 : q=33 : d=103-33=70

Polynomials-and-rational-expressions/190865: This question is from textbook Algebra and Trigonometry Structure and Method book 2 I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Circles Find an equation of the circle described. Tangent to both coordinate axes and the line x=-8. (Two answers) 1 solutions Answer 143307 by Mathtut(3670)   on 2009-04-13 13:45:18 (Show Source): You can put this solution on YOUR website! : and :

Polynomials-and-rational-expressions/190863: says to factor the binomial completely 64x^2-4y^2 1 solutions Answer 143306 by Mathtut(3670)   on 2009-04-13 13:41:10 (Show Source): You can put this solution on YOUR website!