Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'mananth'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299, >>Next

 Mixture_Word_Problems/341315: Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 27 pounds of feed worth \$0.26 per pound by mixing one kind worth \$0.17 per pound with another worth \$0.36 per pound. How many pounds of the cheaper kind should they use in the mix? 1 solutions Answer 244399 by mananth(12270)   on 2010-09-10 03:43:42 (Show Source): You can put this solution on YOUR website!one kind worth \$0.17 per pound let this be x lbs. with another worth \$0.36 per pound. this will be 27-x lbs 27 pounds \$0.26 per pound .. 0.17*x+0.36(27-x)=27*0.26 0.17x+9.72-0.36x= 7.02 -0.19x = -9.72+7.02 -0.19x=-2.70 x= -2.70/-0.19 = 14.2 lbs.
 Graphs/341282: Graph the inequality: 2x-5y>10 not really sure where to go on this the teacher went over inequality's in class but i just got more confused the more she said 1 solutions Answer 244386 by mananth(12270)   on 2010-09-10 00:38:07 (Show Source): You can put this solution on YOUR website!2x-5y>10 Just solve the inequality as you are solving an equation with =. There is absolutely no difference. Keep on putting the < or >. till the end. .. However when you multiply or divide both sides of the equation by a negative sign the inequatlity reverses. For example -2x > 8 to get value of x we divide by -2 -2x/-2 < 8/-2 x<-4 ( The sign has reversed) Similary for multiplication with a negative number. .. Your problem 2x-5y>10 add -2x to both sides 2x-2x-5y> 10-2x -5y>10-2x divide by -5 -5y/-5 < 10/-5 -2x/-5 ( the sign has reversed) y<-2+(2/5)x y<(2/5)x-2 ... Find the value of y for 3 or more values of x The line will be a dotted one. All values below the line are solutions to the inequality. because y < than something.
 Number-Line/341283: Where do I graph 3/2 on a number line? Is it before or after 1?1 solutions Answer 244379 by mananth(12270)   on 2010-09-10 00:03:42 (Show Source): You can put this solution on YOUR website!3/2 = 1.5 so after 1
 Problems-with-consecutive-odd-even-integers/341288: Find five consecutive odd integers such that the sum of the first and the fifth is one less than three times the fourth. 1 solutions Answer 244378 by mananth(12270)   on 2010-09-10 00:02:03 (Show Source): You can put this solution on YOUR website!Let the numbers be x,x+2,x+4,x+6,x+8 x+x+8 = 3(x+6)-1 2x+8=3x+18-1 2x+8 = 3x+17 add -2x to both sides 2x-2x+8 = 3x+17-2x 8=x+17 add -17 to both sides 8-17=x+17-17 -9=x ... -9, -7,-5,-3,-1
 Inequalities/341292: Solve the inequality: 0.38>(2x-7)/51 solutions Answer 244377 by mananth(12270)   on 2010-09-09 23:54:14 (Show Source): You can put this solution on YOUR website!0.38>(2x-7)/5 multiply by 5 0.38*5 > (2x-7)*5 / 5 1.9>2x-7 add 7 to both sides 1.9+7 >2x+7-7 8.9>2x divide by 2 8.9/2 >x 4.45>x
 Angles/341291: if angles A and B are complementary how do you solve to get the measure of both angles . angle A=(15x +3)° , angle B=(5x -13)°1 solutions Answer 244376 by mananth(12270)   on 2010-09-09 23:50:27 (Show Source): You can put this solution on YOUR website!angle A=(15x +3)° , angle B=(5x -13)° They are complementary 15x+3 +5x-13 = 90 20x-10=90 add 10 to both sides 20x-10+10=90+10 20x=100 divide by 20 x= 100/20 = 5 Angle A = 15x+3 = 15*5+3 = 78 deg. Angle B = 5x-13 = 25-13 = 12. Check 78+12= 90
 Proportions/341296: I need help1 solutions Answer 244375 by mananth(12270)   on 2010-09-09 23:42:57 (Show Source): You can put this solution on YOUR website!write to me
 Exponential-and-logarithmic-functions/341284: Hi, It would be great if someone could help me with this question. I don't know what to put into the calculator when it comes to the 'e'. In a chemical reaction the amount c(ug) of the starting material left after time t(seconds) is given by the equation: c = 20e^-0.1t Find the average rate of change of the function between 1 and 2 seconds Thanks 1 solutions Answer 244373 by mananth(12270)   on 2010-09-09 23:21:49 (Show Source): You can put this solution on YOUR website!c = 20e^-0.1t .. c=18.096g .. Plug the value of 2 seconds c=16.374g 18.096-16.374=1.722mug/second
 Word_Problems_With_Coins/340864: how many quarters represent 50 nickels?1 solutions Answer 244152 by mananth(12270)   on 2010-09-09 08:05:19 (Show Source): You can put this solution on YOUR website!50 nickels = 50 * 5= 250 cents 1 quarter = 25 cents 250 cents = quarters ? 250/25= 10 quarters
 Linear_Equations_And_Systems_Word_Problems/340854: The sum of two numbers is greater than or equal to 14 . The second number is 2 less than the first. What are the possible values for the first of the two numbers? In your answer, denote the first number by x. The sum of two numbers is less than or equal to28 . The second number is 8 more than the first. What are the possible values for the first of the two numbers? In your answer, denote the first number by x Thank whoever help me I need these two answers badly. Thank you again!1 solutions Answer 244150 by mananth(12270)   on 2010-09-09 06:22:39 (Show Source): You can put this solution on YOUR website!let the number be x the second number = x-2 .. add -2 divide by 2 ... let one number be the second number = x+8 add -8 divide by 2
 Triangles/340835: the area of a triangle is 27 square feet. Its height is three time the length of its base. Find the height and base of the triangle I tried 27=1/2b + 3b but couldn't get it to work out. Can you please explain.1 solutions Answer 244147 by mananth(12270)   on 2010-09-09 04:02:14 (Show Source): You can put this solution on YOUR website!let base be x height = 3x area = 1/2 * base* height area = 1/2 * x*3x Area = 3x^2/2= 27 3x^2= 54 x^2= 54/3 x^2= 18 x= sqrt 18 x= sqrt (3*3*2) x= 3sqrt2 the base height = 3 * 3sqrt2 height = 9 sqrt2
 Linear-equations/340836: find k so that the line joining (3,k) and (2,5) and the joining (-2,3) and (7,0) are parallel.1 solutions Answer 244146 by mananth(12270)   on 2010-09-09 03:56:11 (Show Source): You can put this solution on YOUR website!(3,k) and (2,5) and the joining (-2,3) and (7,0) are parallel. slope = 0-3/7-(-2) slope=-3/9 slope = -1/3. the slope of the line joining other two points will have same slope since they are parallel. slope = 5-k / 2-3 = -1/3 5-k / -1 = -1/3 5-k= -1*-1/3 5-k= 1/3 k= 5-1/3 k= 14/3 CHECK 5-14/3 /2-3 =1/3 / -1 =-1/3
 Triangles/340829: If the lengths of two sides of the triangle are 12 and 15, which of the following must be true of p, the perimeter of the triangle? (a) 3 < p < 27 (b) 12 < p < 42 (c) 12 < p < 54 (d) 30 < p < 54 (e) 3 < p < 541 solutions Answer 244145 by mananth(12270)   on 2010-09-09 03:25:21 (Show Source): You can put this solution on YOUR website! the difference between them is 3 and their sum is 27 a.
 Pythagorean-theorem/340830: If the area of a right triangle is 16, the length of the legs could be… (a) 8 and 2 (b) 12 and 4 (c) 10 and 6 (d) 20 and 12 (e) 32 and 11 solutions Answer 244144 by mananth(12270)   on 2010-09-09 03:20:24 (Show Source): You can put this solution on YOUR website!e : 32 and 1
 Proportions/340832: An 8‐inch by 10‐inch map is drawn to a scale of 1 inch = 50 miles. If the same map is to be enlarged so that now 2 inches = 25 miles, how many 8‐inch by 10‐inch pieces of blank paper will be taped together in order for all of this map to fit? (a) 1/2 (b) 2 (c) 4 (d) 8 (e) 161 solutions Answer 244143 by mananth(12270)   on 2010-09-09 03:18:25 (Show Source): You can put this solution on YOUR website!1" = 50 miles 1sq. in = 2500 sq. miles .. Now 2"=50 miles so 1" =25 miles 1 sq. in = 725 sq. miles The ratio of area = 2500/725 4 pieces
 Rectangles/340828: The length of a rectangular landing strip exceeds its with by 3,700 feet. If its perimeter is 17,400 feet, what is the length, in feet, of the airfield? (a) 2,500 (b) 5,000 (c) 6,200 (d) 10,000 (e) 13,700 1 solutions Answer 244142 by mananth(12270)   on 2010-09-09 03:11:26 (Show Source): You can put this solution on YOUR website!let width be x feet length = x+3700 .. Perimeter P = 2(L+W) 17400= 2*(x+x+3700) 17400/2 = 2x+3700 8700=2x+3700 8700-3700=2x 5000 = 2x x= 5000/2 x= 2500 feet length will be x+ 3700 Length = 2500 + 3700=6200 feet
 Equations/340816: factor if possible 6u^2-18u+121 solutions Answer 244141 by mananth(12270)   on 2010-09-09 02:41:30 (Show Source): You can put this solution on YOUR website!6u^2-18u+12 divide by 6 6(u^2-3u+2) 6(u^2-2u-u+2) 6(u(u-2)-1(u-2)) 6(u-2)(u-1)
 Numbers_Word_Problems/340825: How many integers n are there such that 1 < 5n + 5 < 25 ? (A) Five (B) Four (C) Three (D) Two (E) One Could you please help me with the above problem. Thanks1 solutions Answer 244140 by mananth(12270)   on 2010-09-09 02:36:14 (Show Source): You can put this solution on YOUR website!1 < 5n + 5 < 25 add -5 1-5<5n+5-5<25-5 divide by 5 Three
 Equations/340817: perform the operation and simplify a+6/a^2-a-2 - a-1/a^2-5a-61 solutions Answer 244139 by mananth(12270)   on 2010-09-09 02:29:47 (Show Source): You can put this solution on YOUR website! LCD = (a-6)(a-2)(a+1)
 Equations/340818: simplify the rational expression -3x^2-8xy+3y^2/3xy+9y^21 solutions Answer 244138 by mananth(12270)   on 2010-09-09 02:09:53 (Show Source): You can put this solution on YOUR website! ...
 Equations/340819: perform the operation and simplify -4t+1/t^2+t-6 + 5t+2/t^2+t-61 solutions Answer 244137 by mananth(12270)   on 2010-09-09 02:02:46 (Show Source):
 Equations/340820: find the slope and the y intercept of the graph 5x+16=-20y m= (slope) (0, ) y intercept1 solutions Answer 244136 by mananth(12270)   on 2010-09-09 01:56:17 (Show Source): You can put this solution on YOUR website!5x+16=-20y divide by -20 5x/-20 +16/20 = y so y= -x/4 +4/5 compare with y= mx +b M= -1/4 intercept 4/5
 Equations/340822: factor if possible t^3 -81 solutions Answer 244135 by mananth(12270)   on 2010-09-09 01:51:07 (Show Source):
 Equations/340823: Find the slope of the line passing through the given points, if possible. (If not possible, enter UNDEFINED.) (-2, 13) and (5, 2) 1 solutions Answer 244134 by mananth(12270)   on 2010-09-09 01:48:57 (Show Source): You can put this solution on YOUR website!(-2, 13) and (5, 2)
 Numbers_Word_Problems/340824: The digits of a certain two-digit number add up to 6. Form a second number by reversing these digits. When the second number is subtracted from the first, the result is three times the sum of the digits. Find the first number1 solutions Answer 244133 by mananth(12270)   on 2010-09-09 01:43:27 (Show Source): You can put this solution on YOUR website!let the ten's digit in the number be x the units digit be y ... x+y =6..................1 The number will be 10x+y. Reverse the digits it will be 10y+x .. 10x+y-(10y+x) = 3(x+y) 10x+y-10y-x=3x+3y 9x-9y=3x+3y 9x-3x-9y-3y=0 6x-12y=0 divide by 6 x-2y=0.................2 multiply equation 1 by 2 and add it to equation 2 2x+2y=12 x-2y=0 3x=12 divide by 3 x=4 plug value of x in equation 1 x+y=6 4+y=6 y=6-4 y=2 the number is 42.
 Miscellaneous_Word_Problems/340810: A 45ft wire is split into 3 pieces. One is 15 ft,another is to be 2 ft less than 3 times the length of the last? Find the length of all the pieces?1 solutions Answer 244132 by mananth(12270)   on 2010-09-09 00:43:34 (Show Source): You can put this solution on YOUR website!one is 15 ft. let the third be x feet the second is 3x-2. ... 15+x+3x-2 = 45 13+4x=45 add -13 to both sides 13-13+4x=45-13 4x=32 divide by 4 x= 32/4 x= 8 one piece. second piece = 3x-2 = 3*8-2 = 22 .. 15,8,22 . add them up you will get 45
 Exponents/340802: write the expression using only positive exponents: g^-5 * g^8 15d^-8 over 5d^31 solutions Answer 244131 by mananth(12270)   on 2010-09-09 00:20:49 (Show Source): You can put this solution on YOUR website! 15d^-8 over 5d^3
 Numbers_Word_Problems/340801: find 3 consecutive integers such that twice the first minus the second is 16 1 solutions Answer 244130 by mananth(12270)   on 2010-09-09 00:12:22 (Show Source): You can put this solution on YOUR website!let the integers be x, x+1,x+2 .. 2x-(x+1)=16 2x-x-1=16 x-1=16 x=16+1 x=17 ... 17,18,19
 Geometry_Word_Problems/340803: You are putting a stone borderof uniform width around a rectangular garden that measures 6 yards by 15 yards. You only have enough stone to cover 100 square yards. How wide should the border be? Solve using the 5 step process. 1 solutions Answer 244129 by mananth(12270)   on 2010-09-09 00:09:30 (Show Source): You can put this solution on YOUR website!Let x be the width of the stone border. Including the stone border trhe area will be (6+2x)(15+2x) The area of garden = 15*6=90 sq. yards .. Arae including width minus area of garden = area of stone border. (6+2x)(15+2x)-90 =100 90+12x+30x+4x^2- 90=100 4x^2+42x-100=0 4x^2+50x-8x-100=0 4x(x+12.5)-8(x+12.5)=0 (4x-8)((x+12.5)=0 4x=8 or x=2 .. x=-12.5 .. ignore this value
 Angles/340807: The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles 1 solutions Answer 244127 by mananth(12270)   on 2010-09-09 00:05:24 (Show Source): You can put this solution on YOUR website!let the angle be x the supplement will b 180-x .. 180-x = x-36 add x to both sides 180-x+x=x+x-36 180=2x-36 add 36 to both sides 180+36 = 2x-36+36 216=2x x= 108 deg. the angle
 test/340794: Hi I'm having trouble with my algebra homework please help =(.......... My professor does not explain nothing and i want to see how you can help me Improve myself and my math skills 1 solutions Answer 244118 by mananth(12270)   on 2010-09-08 23:16:55 (Show Source): You can put this solution on YOUR website!write to me