# See tutors' answers!

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 'checkley71'

checkley71 answered: 8399 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, >>Next

 Radicals/98254: Please help me I am unable to slove this expression. -9-sqrt108 /31 solutions Answer 71440 by checkley71(8403)   on 2007-09-14 20:26:28 (Show Source): You can put this solution on YOUR website!-9-SQRT(108/3) -9-SQRT36 -9-6=-15 ANSWER.
 Surface-area/98255: Could someone please help me I forgot how you get the area of a square. side 1 sqrt3 + sqrt3 side 2 sqrt3 + sqrt31 solutions Answer 71439 by checkley71(8403)   on 2007-09-14 20:24:38 (Show Source): You can put this solution on YOUR website!area of a square=side*side A=(SQRT3+SQRT3)(SQRT3+SQRT3) A=(2SQRT3)(2SQRT3) A=2*2*3=12 ANSWER FOR THE AREA OF THIS SQUARE.
 Geometry_Word_Problems/98263: A girl stands 400 ft. from a tree. With her eye at ground level she sights along a yard stick and finds the top of the yard stick coincides with the top of the tree when the bottom of the yard stick is 4 feet from her eye. Find the height of the tree.1 solutions Answer 71437 by checkley71(8403)   on 2007-09-14 20:20:05 (Show Source): You can put this solution on YOUR website!3/4=x/400 4x=1200 x=1200/4 x=300 feet to the top of the tree. proof draw a triangle with the base=400, the distance from the eye to the bottom of the yard stick=4 feet & the height of the yard stick=3 feet. now you have a 3 by 4 right triangle and an x by 400 triangle. these are similiar triangles whose sides are proportional: 3:4, 300:400
 Percentage-and-ratio-word-problems/98273: a wealthy mathematician left her \$6,000,000 estate to her three children. The eldest received 1/3rd of the estate. The youngest received 1/4th of the remainder of the estate. The middle child recived what was left. How much did each child receive?1 solutions Answer 71435 by checkley71(8403)   on 2007-09-14 20:12:34 (Show Source): You can put this solution on YOUR website!6,000,000*1/3=2,000,000 left to the eldest. 6,000,000-2,000,000=4,000,000*1/4=1,000,000 left to the youngest. that leaves 6,000,000-2,000,000-1,000,000=3,000,000 for the middle child.
 Word_Problems_With_Coins/98210: An object will fall m feet in n seconds where m = 16nsquared. How long will it take for a quarter to hit the ground if it is dropped from the top of a tower that is 1454 feet tall?1 solutions Answer 71407 by checkley71(8403)   on 2007-09-14 15:18:10 (Show Source): You can put this solution on YOUR website!M=16N^2 1454=16N^2 16N^2=1454 N^2=1454/16 N^2=91 N=SQRT91 N=9.54 SECONDS.
 Polynomials-and-rational-expressions/98213: a^6 b^5 _______ a^4 b^71 solutions Answer 71406 by checkley71(8403)   on 2007-09-14 15:12:32 (Show Source): You can put this solution on YOUR website!(A^6B^5/(A^4B^7)=(A^2)/(B^2) ANSWER.
 Rate-of-work-word-problems/98216: Word Problem: If John cleans a house in 8 hours and Julie cleans a similar house in 6 hours, how long should it take them to clean another similar house working together?1 solutions Answer 71405 by checkley71(8403)   on 2007-09-14 15:10:26 (Show Source): You can put this solution on YOUR website!8*6/(8+6)=48/14=3.43 HOURS TO DO THE JOB TOGETHER.
 Polynomials-and-rational-expressions/98221: Word Problem: Your relative wants to pick apples from the tree pictured below. Given that the tree casts a shadow of 30 ft. when your 6 ft. neighbor casts a shadow of 10 ft., how long should a latter be to reach the top of the tree?1 solutions Answer 71404 by checkley71(8403)   on 2007-09-14 15:07:47 (Show Source): You can put this solution on YOUR website!6/10=X/30 CROSS MULTIPLY. 10X=6*30 10X=180 X=180/10 X=18 THE TREE IS 18 FEET TALL.
 Polynomials-and-rational-expressions/98228: Assume that no denominator equals 0: 10^8/10^51 solutions Answer 71403 by checkley71(8403)   on 2007-09-14 15:03:52 (Show Source): You can put this solution on YOUR website!10^8/10^5=10^3 ANSWER. PROOF 10*10*10*10*10*10*10*10/10*10*10*10*10 NOW CANCEL OUT 5 OF THE 10s IN BOTH THE NUMERATOR & THE DENOMINATOR. 10*10*10=10^3
 Polynomials-and-rational-expressions/98237: need some help factoring 8x8 - 20x6 - 12x4 - 20x3 not sure how low to break it down. thank you for your time David.1 solutions Answer 71402 by checkley71(8403)   on 2007-09-14 15:00:29 (Show Source): You can put this solution on YOUR website!4X^3(2X^5-5X^3-3X-5) ANSWER.
 Inverses/98240: what is the reciprocal of (-1/5)(15)1 solutions Answer 71400 by checkley71(8403)   on 2007-09-14 14:53:02 (Show Source): You can put this solution on YOUR website!-1/5*15=-15/5=-3 SOLUTION. RECIPROCAL OF -3 IS -1/3 ANSWER.
 Percentage-and-ratio-word-problems/98243: Extra Credit question I didnt get right. It was too much data and I got lost putting in the right form. A student must receive between 86% and 89% of the total possible points in her algebra class to recieve a B+. If a total of 1600 points are possible, and she currently has 1250 points, what is the fewest number of additional points that will guarantee her a B+ for the course?1 solutions Answer 71399 by checkley71(8403)   on 2007-09-14 14:50:22 (Show Source): You can put this solution on YOUR website!.86*1600=1376 POINTS NEEDED. 1376-1250=126 ADDITIONAL POINTS NEED TO GET THE MINIMUM 86% FOR A B+ SCORE.
 Length-and-distance/98244: A kitchen has dimensions 3 1/3 by 3 3/4 yards. How many square yards of linoleum must be bought to cover the floor1 solutions Answer 71398 by checkley71(8403)   on 2007-09-14 14:47:14 (Show Source): You can put this solution on YOUR website!(3 1/3)(3 3/4)=10/3*15/4=150/12=12.5 SQUARE YARDS OF LINOLEUM IS REQUIRED.
 Miscellaneous_Word_Problems/98245: I am struggling with putting word problems into the right format. Here's another that I cant seem to figure out. Michael has \$10 to spend for pizza. The local pizza place charges \$6 for a plain cheese pizza, plus \$1.50 for each additional topping. What is the greatest number of toppings he can order? Thank you in advance.1 solutions Answer 71397 by checkley71(8403)   on 2007-09-14 14:45:05 (Show Source): You can put this solution on YOUR website!6+1.5X=10 1.5X=10-6 1.5X=4 X=4/1.5 X=2.666 OR 2 ADDITIONAL TOPPINGS CAN BE ORDERED.
 Functions/98247: Can you please help. I don't understand. Thank You The perimeter of a rectangle is 58 inches. Express the area A(w) as a function of the width w. A(w) = 1 solutions Answer 71396 by checkley71(8403)   on 2007-09-14 14:41:46 (Show Source): You can put this solution on YOUR website!A(W)=L*W 58=A*W W=58/L
 Finance/98036: A combined total of \$20,000 is invested in two bonds that pay 8% and 9.5% simple intrest. The annual interest is \$1675. How much is invested in each bond?1 solutions Answer 71367 by checkley71(8403)   on 2007-09-13 22:31:34 (Show Source): You can put this solution on YOUR website!.095X+.08(20000-X)=1675 .095X+1600-.08X=1675 .015X=1675-1600 .015X=75 X=75/.015 X=5000 INVESTED @ 9.5% 20000-5000=15000 INVESTED @ 8% PROOF .095*5000=.08*15000=1675 475+1200=1675 1675=1675
 real-numbers/98050: I need help on the following question. I don't understand it. (5-y) +(6-y)-(5-y)=0 Help 1 solutions Answer 71365 by checkley71(8403)   on 2007-09-13 22:26:22 (Show Source): You can put this solution on YOUR website!(5-Y)+(6-Y)-(5-Y)=0 5-Y+6-Y-5+Y=0 -Y=5-5-6 -Y=-6 Y=6 ANSWER. PROOF (5-6)+(6-6)-(5-6)=0 -1+0+1=0 0=0
 Inequalities/98128: a long distance phone call costs \$.10 for the first minute and \$.05 for each additional minute or portion therof. Write an inequality representing the number of minutes a person could talk without exceeding \$201 solutions Answer 71364 by checkley71(8403)   on 2007-09-13 22:21:14 (Show Source): You can put this solution on YOUR website!.10+.05M<=\$20.00 WHERE M=NUMBER OF MINUTES USED.
 Equations/98117: I need help please what is twice a number plus 6 times the number is negative 72. Find the number1 solutions Answer 71363 by checkley71(8403)   on 2007-09-13 22:18:56 (Show Source): You can put this solution on YOUR website!2N+6N=-72 8N=-72 N=-72/8 N=-9 ANSWER.
 expressions/98125: Looking for some help on these questions. 2) 9 m + 7 = 3 - 3 m 3) 1/6f - 5 = 1 Could use some help I have no clue. Thank you for your time.1 solutions Answer 71362 by checkley71(8403)   on 2007-09-13 22:16:36 (Show Source): You can put this solution on YOUR website!9M+7=3-3M 9M+3M=3-7 12M=-4 M=4/-12 M=-1/3 PROOF 9(-1/3)+7=3-3(-1/3) -9/3+7=3+1 -3+7=4 4=4
 Graphs/98124: Determine the equation of each line. Write the answer in standard form using only integers as the coefficients. The line through (0,9) that is parallel to the line 3x+5y=15.1 solutions Answer 71361 by checkley71(8403)   on 2007-09-13 22:13:49 (Show Source): You can put this solution on YOUR website!WE NEED TO FIND THE SLOPE OF THIS LINE 3X+5Y=15 5Y=-3X+15 Y=-3X/5+15/5 Y=-3X/5+3 HERE THE SLOPE IS -3/5. (RED LINE) THEN THE LINE THROUGH (0,9) MUST HAVE A SLOPE OR (-3/5) ALSO TO BE PARALLEL. NOW SUBSTITUTE THESE (X,Y) VALUES (0,9) & THE SLOPE OF (-3/5) IN THE LINE EAUQTION 7 SOLVE FOR (b) THE Y INTERCEPT OF THIS LINE: 9=-3/5*0+b b=9 FOR THE Y INTERCEPT OG THIS LINE THAT IS PARALLEL TO THE GIVEN LINE WITH A SLOPE OF (-3/5) & A Y INTERCEPT (b=9) Y=-3X/5+9 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions Y = -3X/5 +3 and Y = -3X/5 +9).
 Quadratic_Equations/98119: Could you please help me solve this problem? Number problems. If the square of 2 less than an integer is 16, find the number(s). Thank you,1 solutions Answer 71360 by checkley71(8403)   on 2007-09-13 22:06:28 (Show Source): You can put this solution on YOUR website!N-2^2=16 N+4=16 N=16-4 N=12 ANSWER. PROOF 12+4=16 16=16
 Polynomials-and-rational-expressions/98118: what is sixteen diminished by 8 times a number is the same as 5 diminished by 9 times the number. Find the number1 solutions Answer 71359 by checkley71(8403)   on 2007-09-13 22:03:49 (Show Source): You can put this solution on YOUR website!16-8N=5-9N -8N+9N=5-16 N=-11 ANSWER PROOF 16-8*-11=5-9*-11 16+88=5+99 104=104
 Angles/98111: This question is from textbook Holt Geometry Texas The question involves supplementary angles < ABE = 5x (after the x is a degree sign) < BDE = (17x-18) (after the this problem is another degree sign What is the solution to the problem? I have no clue on this one. Thank you.1 solutions Answer 71358 by checkley71(8403)   on 2007-09-13 21:58:39 (Show Source): You can put this solution on YOUR website!SUPPLEMENTARY ANGLES ADD UP TO 180 DEGREES. THEREFORE THESE TWO ANGLES MUST ADD UP TO 180 DEGREES THUS 5X+17X-18=180 22X=180+18 22X=198 X=198/22 X=9 5*9=45 FOR THE SMALLER ANGLE. 17*9-18=153-18=135 FOR THE LARGER ANGLE. PROOF 45+135=180 180=180
 Exponents-negative-and-fractional/98113: what is -2 to the 4th power1 solutions Answer 71357 by checkley71(8403)   on 2007-09-13 21:52:44 (Show Source): You can put this solution on YOUR website!-2*-2*-2*-2=16 answer. proof -2*-2=4 -2*-2=4 4*4=16
 Graphs/98112: determine the equation of each line. Write the answer in standard form using only integers as the coefficients. The line through (-2,0) with slope -3/4. (the negative sign next to the 3/4 is in the middle of the 3 and 4 next to the divide line)1 solutions Answer 71355 by checkley71(8403)   on 2007-09-13 21:50:31 (Show Source): You can put this solution on YOUR website!THE LINE FORMULA IS [Y=mX+b} WHERE (m)=SLOPE & (b)=THE Y INTERCEPT. NOW SUBSTITUTE THE X (-2) & Y (0) VALUES & THE SLOPE (-3/4) & SOLVE FOR (b) THE Y INTERCEPT. 0=-3/4*-2+b 0=6/4+b b=-6/4 b=-1.5 WHICH IS THE Y INTERCEPT. THUS THE EQUATION IS: Y=-3X/4-1.5 SO WE NOW HAVE 2 POINTS (0,-1.5) & (-2,0) & A SLOPE OF (-3/4) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -3x/4 -1.5).
 Inequalities/98110: This question is from textbook Texas Holt Algebra 2 1 solutions Answer 71354 by checkley71(8403)   on 2007-09-13 21:43:06 (Show Source): You can put this solution on YOUR website!5-4C=C+20 -4C-C=20-5 -5C=15 C=15/-5 C=-3 PROOF 5-4*-3=-3+20 5+12=17 17=17
 Rectangles/98103: This is a word problem that I was given and am having grief solving. You have a carpet that measures 12' x 3' and you need to carpet an hallway that measures 9' x 4'. WITHOUT folding the carpet, how can you carpet the area with only making ONE cut. The point is to be able to cover a 9 x 4 rectangle using a 12' x 3' rectangle that is cut once, not folded.1 solutions Answer 71351 by checkley71(8403)   on 2007-09-13 21:40:34 (Show Source): You can put this solution on YOUR website!Draw a diagram of a 12 by 3 rectangle with the 12 foot side the length left to right.. Starting @ the upper right corner measure 3 feet to the left & cut the rug 1 foot down. Now cut 3 feet to the left & then 1 foot down another 3 feet to the left & down the final foot. Now move the left piece up one foot & 3 feet to the right. You now have a 9 by 4 rug. Using graph paper it looks simple to do.
 Mixture_Word_Problems/98058: How many gallons of a 60 percent acid solution must be mixed with 80 gallons of a 14 percent solution to obtain a solution that is 50 percent acid?1 solutions Answer 71348 by checkley71(8403)   on 2007-09-13 21:26:59 (Show Source): You can put this solution on YOUR website!.6x+.14*80=.5(80+x) .6x+11.2=40+.5x .6x-.5x=40-11.2 .1x=28.8 x=28.8/.1 x=288 gallons of 60 % acid is needed. proof .6*288+.14*80=.5(80+288) 172.8+11.2=.5*368 184=184
 Linear-systems/98092: This question is from textbook p=a+b+c for b1 solutions Answer 71344 by checkley71(8403)   on 2007-09-13 21:20:20 (Show Source): You can put this solution on YOUR website!p=a+b+c subtract a & c from both sides of the equation. p-a-c=b
 Triangles/98096: Could someone please help me with this i forgot how you get the perimeter of a triangle. Side 1 = 4 Side 2 = sqrt 5 - sqrt 3 Side 3 = sqrt 5 + sqrt 31 solutions Answer 71342 by checkley71(8403)   on 2007-09-13 21:18:01 (Show Source): You can put this solution on YOUR website!4+(sqrt5-sqrt3)+(sqrt5+sqrt3) the (-sqrt3 & the +sqrt3) cancel out. 4+2sqrt5 4+2*2.236=8.944 answer.