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# Recent problems solved by 'Mathtut'

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 Travel_Word_Problems/203272: Juan is getting a cab to travel 5 miles home. The cab is charging him %.50 for the first (1/5) mile and \$.20 for all additional (1/10) miles. What is the total for his cab ride.1 solutions Answer 153355 by Mathtut(3670)   on 2009-07-16 12:37:06 (Show Source): You can put this solution on YOUR website!1/5 is equivilant to 2/10 : 5 miles is equivilant to 50/10 : so if we subtract 2/10 from 50/10 we get 48/10(additional miles) : so we have \$.5 + \$.2(48)=.5+9.6=\$10.1 total
 Equations/201050: Factor completely. 2x^2 - 12x + 16 1 solutions Answer 151285 by Mathtut(3670)   on 2009-06-24 16:47:46 (Show Source):
 Equations/201052: Solve the equation. 36x - 2 = 61 solutions Answer 151284 by Mathtut(3670)   on 2009-06-24 16:46:20 (Show Source): You can put this solution on YOUR website!36x-2=6 : 36x=8.......added 2 to both sides : x=8/36=2/9
 Quadratic_Equations/199376: Analytic Geometry 20.Find the diameter and the area of the circle defined by x^2+y^2=64 Thank you...1 solutions Answer 150212 by Mathtut(3670)   on 2009-06-11 23:28:18 (Show Source): You can put this solution on YOUR website! : : r=8 ...so diameter = 16 : area = : area=
 expressions/199378: What expression is equal to 1/5?1 solutions Answer 150211 by Mathtut(3670)   on 2009-06-11 23:25:21 (Show Source): You can put this solution on YOUR website!many expressions are equal to 1/5 : 5/25 or 3/15 or 10/50....there is infinite expressions that equal 1/5
 Quadratic_Equations/199439: Can you give me an example of a quadratic equation for D>0?1 solutions Answer 150210 by Mathtut(3670)   on 2009-06-11 23:23:26 (Show Source): You can put this solution on YOUR website!' : D=9-(4)(1)(-9)=45
 Quadratic_Equations/199440: Can you give an example of a quadratic equation for D<0 (negative)?1 solutions Answer 150209 by Mathtut(3670)   on 2009-06-11 23:20:29 (Show Source): You can put this solution on YOUR website! : D=9-4(1)(9)=-27
 Number-Line/199808: Hello, I am stuck again and at the end of my rope, please help me!! I need help with the following problems: 1) Find the equation, in standard form, of the line perpendicular to 2x + 3y = -5 and passing through (3,-5). Write the equation in standard form, with all integer coefficients. 2) Solve the system of equations using the substitution method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and state how you arrived at that conclusion. -7x + y = 4 2x + 8y = 0 Any help you can give will be greatly appreciated. Thanks1 solutions Answer 150207 by Mathtut(3670)   on 2009-06-11 22:47:57 (Show Source): You can put this solution on YOUR website!1) Find the equation, in standard form, of the line perpendicular to 2x + 3y = -5 and passing through (3,-5). Write the equation in standard form, with all integer coefficients : slope of 2x+3y=5 is 3y=-2x+5--->y=(-2/3)x+5........-2/3 : slope of line perpendicular to this line would be -3/2 : now using point slope formula y+5=-3/2(x-3) : y+5=-3/2x+9 : 2y+10=-3x+28 : 3x+2y=18(standard form)
 Inequalities/199811: We are given AB=12,CD=6,EF=18 and GH=24 Pair up the equal measures GH+EF EF-CD GH-EF AB-CD GH-AB EF+2AB Please work out answers 1 solutions Answer 150206 by Mathtut(3670)   on 2009-06-11 22:46:40 (Show Source): You can put this solution on YOUR website!I will do a few : GH+EF=24+18=42 : EF-CD=18-6=12 :
 Linear-systems/199681: This question is from textbook Beginning Algebra i need to solve this using the substitution method 8x+2y-7=0 -2x-1y+2=01 solutions Answer 150203 by Mathtut(3670)   on 2009-06-11 22:17:43 (Show Source): You can put this solution on YOUR website!8x+2y-7=0........................eq 1 -2x-1y+2=0---->y=-2x+2...........eq 2 : take y's value from eq 2 and substitute it into eq 1 : 8x+2(-2x+2)-7=0 : 8x-4x+4-7=0 : 4x=3 : x=3/4 : y=-2(3/4)+2=1/2
 Equations/199812: v - 4(4 - v)= -2(2v-1)1 solutions Answer 150202 by Mathtut(3670)   on 2009-06-11 22:07:38 (Show Source): You can put this solution on YOUR website!v-16+4v=-4v+2 : 9v=18 : v=2
 Quadratic_Equations/199813: This is a proportion problem I am having trouble with x/4=(x+8)/x Thank you for your help1 solutions Answer 150201 by Mathtut(3670)   on 2009-06-11 22:06:03 (Show Source): You can put this solution on YOUR website! : : : : x=8 or -4
 Miscellaneous_Word_Problems/198465: Alfred wants to invest \$4,000 at 6% simple interest rate for 5 years. How much interest will he receive? This Question is from the TABE Test.1 solutions Answer 148985 by Mathtut(3670)   on 2009-05-31 15:29:10 (Show Source): You can put this solution on YOUR website!I=p*r*t : I=4000*.06*5 : I=1200
 Quadratic_Equations/197853: What is the slope of the line with the equation 2x + 3y + 6 = 0 ?1 solutions Answer 148358 by Mathtut(3670)   on 2009-05-26 17:53:14 (Show Source): You can put this solution on YOUR website!write in slope intercept form y=mx+b where m is the slope and b is the y intercept : 3y=-2x-6 : y=(-2/3)x-2 : m(slope)=-2/3
 Quadratic_Equations/197850: 11. Write a quadratic equation with roots of 2/3 and -4/5 in the form ax^2+bx+c=0, where a, b, and c are integers. Thanks1 solutions Answer 148355 by Mathtut(3670)   on 2009-05-26 17:50:54 (Show Source): You can put this solution on YOUR website!} : : :
 Quadratic_Equations/197851: Can you please help me to solve this equation (x+10)(2x-3)=54? I dont know how to solve it using quadratic equations. Thank you very much!!!1 solutions Answer 148354 by Mathtut(3670)   on 2009-05-26 17:47:59 (Show Source): You can put this solution on YOUR website! : multiplied terms : gathered like terms into quadratic form : factored : x=7/2 and x=-12
 Quadratic-relations-and-conic-sections/197848: -1/16x2=y find the focus and directric of the parabola1 solutions Answer 148352 by Mathtut(3670)   on 2009-05-26 17:40:06 (Show Source): You can put this solution on YOUR website! : 1/4p=-1/16 : 4p=-16 : p=-4 : focus is at (0,-4) : directrix is at y=4 :
 Quadratic_Equations/197849: 10.a) Write a quadratic equation in the form ax^2+bx+c=0 with roots of 6 and -7. b)What would happen to the roots if you multiplied both sides of the equation in part a) by 3? Explain. thanks1 solutions Answer 148350 by Mathtut(3670)   on 2009-05-26 17:35:24 (Show Source): You can put this solution on YOUR website!---> :
 Exponential-and-logarithmic-functions/197733: write an equation for the line that contains the point (4,-1) and is perpendicular to the equation y=2/3x + 71 solutions Answer 148349 by Mathtut(3670)   on 2009-05-26 17:32:19 (Show Source): You can put this solution on YOUR website!first we must find the slope of the equation y=(-2/3)x+7......since this is in point slope form....we can see the slope is -2/3. now we know that any line perpendicular to this line will have a slope that is the negative reciprical of it.....the negative reciprical of -2/3 is 3/2 : now we have the slope 3/2 and a point (4,-1)...using the point slope formula we have : y-(-1)=(3/2)(x-4) : y+1=(3/2)x-6 -->y=(3/2)x-7
 Exponential-and-logarithmic-functions/197734: write an equation for the line that contains the point (7,0) and is perpendicular to the equation y= -12x - 81 solutions Answer 148347 by Mathtut(3670)   on 2009-05-26 17:28:39 (Show Source): You can put this solution on YOUR website!first we must find the slope of the equation y=-12x-8......since this is in point slope form....we can see the slope is -12. now we know that any line perpendicular to this line will have a slope that is the negative reciprical of it.....the negative reciprical of -12 is 1/12 : now we have the slope and a point (7,0)...using the point slope formula we have : y-0=(1/12)(x-7) : y=(1/12)x-7/12 or in standard form multiply all terms by 12 : 12y=x-7--->x-12y=7(standard form)
 Quadratic_Equations/197754: This question is from textbook 1 solutions Answer 148344 by Mathtut(3670)   on 2009-05-26 17:24:24 (Show Source): You can put this solution on YOUR website!tutors have no access to books problems.......please submit actual problem..thanks Mathtut
 Coordinate-system/197781: the line of an equation w/ a slope of 4 goes through [2,3] what is the y cordinate of the point the line goes through when the x cordinate is 6?1 solutions Answer 148343 by Mathtut(3670)   on 2009-05-26 17:19:44 (Show Source): You can put this solution on YOUR website!slope intercept formula : y-3=4(x-2) : y-3=4x-8 : y=4x-5 : so when x=6 y=4(6)-5=19
 Divisibility_and_Prime_Numbers/197803: Round the quotient to the nearest hundredth: 11 ÷ 6 1 solutions Answer 148342 by Mathtut(3670)   on 2009-05-26 17:17:35 (Show Source): You can put this solution on YOUR website!11/6=1.83333......rounded is 1.83
 Divisibility_and_Prime_Numbers/197804: Round the quotient to the nearest hundredth: 17.44 ÷ 3 1 solutions Answer 148341 by Mathtut(3670)   on 2009-05-26 17:16:55 (Show Source): You can put this solution on YOUR website!17.44/3=5.81333....rounded is 5.81
 Divisibility_and_Prime_Numbers/197805: Round the quotient to the nearest hundredth: 9.061 ÷ 71 solutions Answer 148340 by Mathtut(3670)   on 2009-05-26 17:16:03 (Show Source): You can put this solution on YOUR website!9.061 ÷ 7=1.2944.......rounded 1.29
 test/197824: determine the slope and y intercept of the graph of 12+3y=-2x1 solutions Answer 148338 by Mathtut(3670)   on 2009-05-26 17:14:08 (Show Source): You can put this solution on YOUR website!write in slope intercept form which is y=mx+b.where m is the slope and b is the y intercept : 3y=-2x+12 : y=(-2/3)x+4........m=-2/3 and y intercept is 4:(0,4)
 Polynomials-and-rational-expressions/197830: Factor, The expression by factoring out the largest possible common factor. 4b(2a + 9c) - 7d(2a + 9c)1 solutions Answer 148337 by Mathtut(3670)   on 2009-05-26 17:12:32 (Show Source): You can put this solution on YOUR website!factoring out 2a+9c
 Polynomials-and-rational-expressions/197845: (4y-3) (4y+3)1 solutions Answer 148335 by Mathtut(3670)   on 2009-05-26 17:11:20 (Show Source): You can put this solution on YOUR website!y terms cancel out(difference of squares)
 Quadratic_Equations/197844: 9. Write a quadratic equation in factored form for each situation. a) The roots of the equation are 5 and 4. b) The roots of the equation are -2 and 3. Thanks1 solutions Answer 148334 by Mathtut(3670)   on 2009-05-26 17:10:01 (Show Source): You can put this solution on YOUR website!a) ---> : : b)--->
 Divisibility_and_Prime_Numbers/197834: Round the quotient to the nearest hundredth: 81.6 ÷ 29 1 solutions Answer 148326 by Mathtut(3670)   on 2009-05-26 16:26:27 (Show Source): You can put this solution on YOUR website!81.6/29=2.8137.....rounded 2.81
 Polynomials-and-rational-expressions/197831: Factor x^2-7x-44 factor by grouping h^4-h^3+h-11 solutions Answer 148325 by Mathtut(3670)   on 2009-05-26 16:25:02 (Show Source):