Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569, >>Next

Square-cubic-other-roots/244484: What is the square root of 4x squared+ 4x+ 1? 1 solutions Answer 178817 by checkley77(12569)   on 2009-12-01 10:34:31 (Show Source): You can put this solution on YOUR website! 4x^2+4x+1 (2x+1)^2 ans.

Permutations/244491: How do you solve for a when (a-3)squared = 5-10a? 1 solutions Answer 178816 by checkley77(12569)   on 2009-12-01 10:32:10 (Show Source): You can put this solution on YOUR website! (a-3)^2=5-10a a^2-6a+9=5-10a a^2-6a+10a+9-5=0 a^2+4a+4=0 (a+2)^2=0 a+=0 a=-2 ans.

Linear-equations/244492: How do I find the y axis intercept? 1 solutions Answer 178815 by checkley77(12569)   on 2009-12-01 10:25:07 (Show Source): You can put this solution on YOUR website! Given a linear equation with x & y terms: Example: [6x+2y=8] Put this equation in the line equation format: Y=mX+b where b=the Y intercept. 6x=2y=8 2y=-6x+8 y=-6x/2+8/2 y=-3x+4 The Y intercept=4. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10,-3x +4).

Percentage-and-ratio-word-problems/244453: The ratio of red marbles to green marbles in a package is 3 to 5. If 25 green marbles are in the package, how many red are in the package? 1 solutions Answer 178814 by checkley77(12569)   on 2009-12-01 10:20:30 (Show Source): You can put this solution on YOUR website! 3/5=x/25 cross multiply. 5x=3*25 5x=75 x=75/5 x=15 red marbles in the package.

Angles/244488: find the measure of two complementary angles if the difference in teh measure is 16? 1 solutions Answer 178813 by checkley77(12569)   on 2009-12-01 10:16:38 (Show Source): You can put this solution on YOUR website! x & x+16 are the 2 angles. x+x+16=90 2x=90-16 2x=74 x=37 degrees ans. 37+16=53 degrees ans. Proof: 37+53=90 90=90

Expressions-with-variables/244489: x+8 / 4 = 6 1 solutions Answer 178812 by checkley77(12569)   on 2009-12-01 10:12:20 (Show Source): You can put this solution on YOUR website! x+8/4=6 x+2=6 x=6-2 x=4 ans.

Exponents-negative-and-fractional/244455: evalute x-2(x-5)=10-(2x+4) 1 solutions Answer 178811 by checkley77(12569)   on 2009-12-01 10:10:57 (Show Source): You can put this solution on YOUR website! x-2(x-5)=10-(2x+4) x-2x+10=10-2x-4 -x+2x=6-10 x=-4 ans. Proof: -4-2(-4-5)=10-(2*-4+4) -4-2*-9=10-(-8+4) -4+18=10-(-4) 14=10+4 14=14

Expressions-with-variables/244458: 24x/35y * 14y/8x 1 solutions Answer 178810 by checkley77(12569)   on 2009-12-01 10:04:04 (Show Source): You can put this solution on YOUR website! 24x/35y*14y/8x cancel out the x,y terms. 24*14/35*8 divide 24 by 8 3*14/35 42/35 divide by 7 6/5 ans.

Expressions-with-variables/244459: 2r+6 divided by 5 = -4 1 solutions Answer 178798 by checkley77(12569)   on 2009-12-01 09:31:13 (Show Source): You can put this solution on YOUR website! (2r+6)/5=-4 2r+6=-20 2r=-20-6 2r=-26 r=-26/2 r=-13 ans. Proof: (2*-13+6)/5=-4 (-26+6)/5=-4 -20/5=-4 -4=-4

Probability-and-statistics/244464: if a menu has a choice of 4 appetizers, 4 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes? A) 48 B) 16 C) 28 D) 3 1 solutions Answer 178797 by checkley77(12569)   on 2009-12-01 09:27:40 (Show Source): You can put this solution on YOUR website! 4*4*3=48 ans. A).

Polynomials-and-rational-expressions/244474: 49p^2+28pq+4q^2 1 solutions Answer 178796 by checkley77(12569)   on 2009-12-01 09:25:36 (Show Source): You can put this solution on YOUR website! 49p^2+28pq+4q^2 (7p+2q)^2 ans.

Polynomials-and-rational-expressions/244475: What is the factorization of 35x^8-2x^7-x^6 1 solutions Answer 178795 by checkley77(12569)   on 2009-12-01 09:24:21 (Show Source): You can put this solution on YOUR website! 35x^8-2x^7-x^6 x^6(35x^2-2x-1) x^6(7x+1)(5x-1) ans.

Linear_Algebra/244469: 4+3x = 4(2x-5)? 8x-7+2x = 6+5x+2? 10(x-1) = 2(2x-5)? 3x+7x = 16+4x? 1 solutions Answer 178793 by checkley77(12569)   on 2009-12-01 09:21:21 (Show Source): You can put this solution on YOUR website! 4+3x = 4(2x-5)? 4+3x=8x-20 3x-8x-20-4 -5x=-24 x=-24/-5 x=24/5 or 4.8 ans. ----------------------- 8x-7+2x = 6+5x+2? 6x-7=5x+8 6x-5x=8+7 x=15 ans. ----------------------- 10(x-1) = 2(2x-5)? 10x-10=4x-10 10x-4x=4x-10 -4x-4x=-10-10 -8x=-20 x=-20/-8 x=5/2 or 2.5 ans. ----------------------------- 3x+7x = 16+4x? 10x-4x=16 6x=16 x=16/6 x=8/3 or 2 2/3 or 2.6667 ans.

Expressions-with-variables/244261: please help me solve -2x+3y=11 x=4y-3 i get how to do the easier problems but i just really got stuck on this one 1 solutions Answer 178738 by checkley77(12569)   on 2009-11-30 19:32:22 (Show Source): You can put this solution on YOUR website! -2x+3y=11 x=4y-3 replace x in the first equation with (4y-3) & solve for y. -2(4y-3)+3y=11 -8y+6+3y=11 -5y=11-6 -5y=5 y=5/-5 y=-1 ans. -2x+3*-1=11 -2x-3=11 -2x=11+3 -2x=14 x=14/-2 x=-7 ans. Proof: -7=4*-1-3 -7-4-3 -7=-7

Rectangles/244216: if you know the perimeter of a square then how can you find the area of the square in two steps[describe the two steps]. 1 solutions Answer 178737 by checkley77(12569)   on 2009-11-30 19:28:08 (Show Source): You can put this solution on YOUR website! P=40/4*x or x=10 The perimeter is 4 times the sides. Area=10^2=100 the area is the square of the side.

Functions/244221: how do i graph f(x)=(x-1) cubed +1 its a quadratic but it also is a cubic function? 1 solutions Answer 178734 by checkley77(12569)   on 2009-11-30 19:19:37 (Show Source): You can put this solution on YOUR website! f(x)=(x-1)^3+1 y=(x-1)^3+1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, (x-1)^3 =1).

Functions/244224: who would i graph f(x)= -(x-2)squared +3 1 solutions Answer 178733 by checkley77(12569)   on 2009-11-30 19:16:46 (Show Source): You can put this solution on YOUR website! f(x)=-(x-2)^2+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -(x-2)^2 +3). Vertex=(2,3) Axis of symmetry x=2

Vectors/244229: 10x-25+10x+3x^2+2x^2=360 1 solutions Answer 178730 by checkley77(12569)   on 2009-11-30 19:07:28 (Show Source): You can put this solution on YOUR website! 10x-25+10x+3x^2+2x^2=360 5x^2+20x-25-360=0 5x^2+20x-385=0 5(x^2+4x-77)=0 5(x+11)(x-7)=0 x+11=0 x=-11 ans. x-7=0 x=7 ans.

Linear-systems/244238: How would I do y=x-6 on a graph as a linear line? Because I don't know what the rise over run is but I know the Y intercept... So how would I graph it or figure out what the x is? 1 solutions Answer 178729 by checkley77(12569)   on 2009-11-30 19:03:25 (Show Source): You can put this solution on YOUR website! y=x-6 The rise over run is the slope (m) Y=mX+b In this equation m=1. (graph 300x200 pixels, x from -6 to 8, y from -10 to 10, x -6).

logarithm/244240: Solve the exponential equation algebraically. Approximate the result to three decimal places. 3x + 16 = 45 1 solutions Answer 178726 by checkley77(12569)   on 2009-11-30 19:00:10 (Show Source): You can put this solution on YOUR website! 3x + 16 = 45 3x=45-16 3x=29 x=29/3 x=9.667 ans.

Linear-equations/244166: (0,0) and (7,5) what is an eqution of the line? what does y=?? 1 solutions Answer 178725 by checkley77(12569)   on 2009-11-30 18:57:39 (Show Source): You can put this solution on YOUR website! (0,0) and (7,5) Slope=(5-0)/(7-0)=5/7 5=5/7*7+b 5=35/7+b 5=5+b b=0 y=5x/7 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 5x/7).

Quadratic_Equations/244184: how do you solve this equation 9x² - 4x - 5 = 0 1 solutions Answer 178722 by checkley77(12569)   on 2009-11-30 18:51:40 (Show Source): You can put this solution on YOUR website! 9x² - 4x - 5 = 0 (9x+5)(x-1)=0 9x+5=0 9x=-5 x=-5/9 ans. x-1=0 x=1 ans.

decimal-numbers/244187: what is the answer to 0.9 divided by 7.2 1 solutions Answer 178720 by checkley77(12569)   on 2009-11-30 18:47:36 (Show Source): You can put this solution on YOUR website! 0.9/7.2=1/8=.125 ans.

Linear-systems/244189: My son has an assignment from a substitute that apparently did not explain the homework sheet to the students. Question: Is the relationship shown by the data linear? If it is, model the data with an equation. X Y 2 3 3 7 4 11 5 15 1 solutions Answer 178718 by checkley77(12569)   on 2009-11-30 18:45:40 (Show Source): You can put this solution on YOUR website! X Y 2 3 3 7 4 11 5 15 SLOPE=(7-3)/(3-2)=4/1=4 SLOPE=(11-7)/(4-3)=4/1=4 SLOPE=(15-11)/(5-4)=4/1=4 3=2*4+b 3=8+b b=3-8 b=-5 Y=4X-5 ans. for the line equation. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -5).

Proportions/244191: Jim found out that after working for 9 months he had earned 6 days of vacation time. How many days per year does he earn at this rate? Please help! Thank you. 1 solutions Answer 178717 by checkley77(12569)   on 2009-11-30 18:36:19 (Show Source): You can put this solution on YOUR website! 6/9=X/12 9X=6*12 9X=72 X=72/9 X=8 DAYS OF VACATIONS WILL BE EARNED PER YEAR.

Proportions/244195: On a city map, a rectangular park has a length of 4 in. If the actual length and width of the park are 500 ft. and 300 ft, respectively, how wide is the park on the map? Please help! Thank you. 1 solutions Answer 178716 by checkley77(12569)   on 2009-11-30 18:34:09 (Show Source): You can put this solution on YOUR website! LENGTH=4:500 WIDTH=X:300 500X=4*300 500X=1200 X=1200/500 X=2.4 IN. IS THE MAP MEASUREMENT FOR THE WIDTH.

Proportions/244198: Jim's car will travel 240 mi. on 15 gal. of gas. How far can he expect to go on 3 gal. of gas? Any ideas? Thanks so much. 1 solutions Answer 178714 by checkley77(12569)   on 2009-11-30 18:29:56 (Show Source): You can put this solution on YOUR website! 240/15=X/3 15X=3*240 15X=720 X=720/15 X=48 MILES CAN BE DRIVEN ON 3 GALLONS OF GAS.

Square-cubic-other-roots/244200: Between what two consecutive intergers is the square root of 78? 1 solutions Answer 178713 by checkley77(12569)   on 2009-11-30 18:26:51 (Show Source): You can put this solution on YOUR website! SQRT78=8.83176 THIS SQRT IS BETWEEN 8 & 9

Surface-area/244169: If a square has an area of 200 yd. squared. What will the area of the square become if you double the length of the sides. What i have tried: Figuring out the sides now when it is 200, my problem is that i can't figure out those sides. Thank you! 1 solutions Answer 178712 by checkley77(12569)   on 2009-11-30 18:24:42 (Show Source): You can put this solution on YOUR website! X^2=200 X=SQRT200 X=14.1421335 YDS. IS THE LENGTH OF THE SIDES OF THIS SQUARE. 2*14.142135=28.28427 28.28427^2=800 YDS.^2 IS THE NEW AREA OR THE AREA IS MULTIPLIED BY 4.

Equations/244174: y^2=y+30 what does y equal? 1 solutions Answer 178708 by checkley77(12569)   on 2009-11-30 18:14:40 (Show Source): You can put this solution on YOUR website! y^2=y+30 Y^2-Y-30=0 (Y-6)(Y+5)=0 Y-6=0 Y=6 ANS. Y+5=0 Y=-5 ANS.

Rational-functions/244175: hi i really need help with these problem. Thank you 5root7*7root5 1 solutions Answer 178707 by checkley77(12569)   on 2009-11-30 18:11:52 (Show Source): You can put this solution on YOUR website! 5root7*7root5 5*7SQRT7*SQRT5 35SQRT(7*5) 35SQRT35 ANS.