Tutor:

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

---

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

Equations/107865: x-11=5 and 0=x-7 1 solutions Answer 78617 by checkley71(8403)   on 2007-11-03 22:08:37 (Show Source): You can put this solution on YOUR website! X-11=5 X=5+11 X=16 ANSWER. 0=X-7 X=7 ANSWER.

Money_Word_Problems/107855: Stan invested $17,000, part at 18% and part at 4%. If the total interest at the end of the year is $1,380, how much did he invest at each rate? 1 solutions Answer 78616 by checkley71(8403)   on 2007-11-03 22:07:10 (Show Source): You can put this solution on YOUR website! .18X+.04(17,000-X)=1,380 .18X+680-.04X=1,380 .14X=1,380-680 .14X=700 X=700/.14 X=5,000 INVESTED @ 18% 17,000-5,000=12,000 INVESTED @ 4%. PROOF .18*5,000 +.04*12,000=1,380 900+480=1,380 1,380=1,380

Money_Word_Problems/107851: -tu-vw=t Solve for v. 1 solutions Answer 78614 by checkley71(8403)   on 2007-11-03 22:01:51 (Show Source): You can put this solution on YOUR website! -TU-VW=T -VW=T+TU V=(T+TU)/-W V=-(T+TU)/W

absolute-value/107856: Determine the maximum and minimum value of the following set of numbers. 3, -36/7, -1, -2/3, 5/4, -5, 26/9 1 solutions Answer 78612 by checkley71(8403)   on 2007-11-03 21:56:54 (Show Source): You can put this solution on YOUR website! -36/7=-5 1/7 IS THE SMALLEST, THEN -5 THEN -1 THEN -.667 1 1/4 THEN 2 8/9 THEN 3 IS THE LARGEST.

Numeric_Fractions/107860: -4/5 + {-3/4} 1 solutions Answer 78609 by checkley71(8403)   on 2007-11-03 21:48:08 (Show Source): You can put this solution on YOUR website! -4/5+(-3/4) -4/5-3/4 (-4*4-3*5)/5*4 (-16-15)/20 -31/20 ANSWEER.

Sequences-and-series/107853: Could someone please explain to me how to find an algebraic expression to calculate the nth term of the following sequence?: 2, 5, 11, 23, 47, 95, 191 I know that the equation to continue the series is 2x+1, but I've tried for 2 hours to figure out an equation for the nth term, and all I've gotten is frustrated! Thanks so much for any help!! 1 solutions Answer 78606 by checkley71(8403)   on 2007-11-03 21:41:03 (Show Source): You can put this solution on YOUR website! THE FORMULA FOR FINDING THE Nth TERM OF A GEOMETRIC SERIES IS: An=AR^(n-1) A IS THE FIRST TERM, n IS THE TERM TO BE FOUND & R IS THE RATIO: IN YOUR CASE THE RATIO IS (2X+1).

Polynomials-and-rational-expressions/107854: This question is from textbook Please help me solve this problem, I'm stuck. Factor the polynomial completely: x^2-15x+56 Thank you 1 solutions Answer 78602 by checkley71(8403)   on 2007-11-03 21:20:16 (Show Source): You can put this solution on YOUR website! x^2-15x+56 (x-7)(x-8)

Expressions-with-variables/107810: solve the system by substitution: 4x-4y=0 y=2x-5 1 solutions Answer 78589 by checkley71(8403)   on 2007-11-03 18:21:17 (Show Source): You can put this solution on YOUR website! Y=2X-5 4X-4(2X-5)=0 4X-8X+20=0 -4X=-20 X=-20/-4 X=5 ANSWER. Y=2*5-5 Y=10-5 Y=5 PROOF 4*5-4*5=0 20-20=0 0=0

Equations/107781: Find two consecutive odd integers such that 5 times the first integer is 12 more than 3 times the second. 1 solutions Answer 78580 by checkley71(8403)   on 2007-11-03 17:26:31 (Show Source): You can put this solution on YOUR website! X+(X+2) ARE THE 2 CONSECUTIVE ODD NUMBERS. 5X=3(X+2)+12 5X=3X+6+12 5X-3X=18 2X=18 X=18/2 X=9 ANSWER FOR THE SMALLER ODD NUMBER. 9+2=11 FOR THE LARGER NUMBER. PROOF 5*9=3(11)+12 45=33+12 45=45

Rectangles/107782: If the perimeter of a rectangle is 20 ft and the width is 6ft, find its length.[hint the perimeter of a rectangle is given by P=2L+2W.] 1 solutions Answer 78579 by checkley71(8403)   on 2007-11-03 17:21:57 (Show Source): You can put this solution on YOUR website! 20=2L+2*6 20=2L+12 2L=20-12 2L=8 L=8/2 L=4 ANSWER FOR THE LENGTH. PROOF 20=2*4+12 20=8+12 20=20

Expressions-with-variables/107811: solve the system by addition or substitution: -15x+3y=6 y=2+5x 1 solutions Answer 78576 by checkley71(8403)   on 2007-11-03 17:18:24 (Show Source): You can put this solution on YOUR website! y=2+5x 5x-y=-2 now multiply this equation by 3 & add it to the other equation. 15x-3y=-6 -15x+3y=6 now add -------------------------------- 0+0=0 these are identical equation therefore there is no unique solution.

Graphs/107812: If possible please explain how you come up with each step.Thanks Find the equation, in slope-intercept form, of the line that passes through the points (5, 6) and (-7, 3).Thanks 1 solutions Answer 78574 by checkley71(8403)   on 2007-11-03 17:14:33 (Show Source): You can put this solution on YOUR website! SLOPE=(Y2-Y1)/(X2-X1) SLOPE=(3-6)/(-7-5) SLOPE=-3/-12 SLOPE=1/4 ANSWER. NOW SUBSTITUTE ONE SET OF (X,Y) VALUES IN THE LINE EQUATUION Y=mX+b & SOLVE FOR THE Y INTERCEPT (b). 6=1/4*5+b 6=5/4+b b=6-5/4 b=(24-5)/4 b=19/4 THIS IS THE Y INTERCEPT. THE EQUATION IS: Y=X/4+19/4 (graph 300x200 pixels, x from -20 to 5, y from -10 to 10, y = x/4 +19/4).

Polynomials-and-rational-expressions/107815: This question is from textbook university of Phoenix Elementary and Intermediate Algebra I'm not sure if I did this problem right, here is the problem and my answer. Can you let me know if it's right? (-5x^2yz^3)^5 ------------ -5x^2yz my answer=z^6 1 solutions Answer 78572 by checkley71(8403)   on 2007-11-03 17:07:37 (Show Source): You can put this solution on YOUR website! (-5X^2YZ^3)^5/-5X^2YZ (-5^5X^10Y^5Z^15)/-5X^2YZ NOW WE SUBTRACT THE EXPONENTS IN THE DENOMINATOR FROM THE ONES IN THE NUMERATOR THUS: (-5^4X^8Y^4Z^14) 625X^8Y^4Z^14 ANSWER.

Expressions-with-variables/107817: given f(x)=x^2-3x-7, find f(5) 1 solutions Answer 78569 by checkley71(8403)   on 2007-11-03 17:00:57 (Show Source): You can put this solution on YOUR website! F(X)=X^2-3X-7 SUBSTITUTING 5 FOR X WE GET; F(5)=5^2-3*5-7 F(5)=25-15-7 F(5)=3 ANSWER.

Polynomials-and-rational-expressions/107816: This question is from textbook university of Phoenix Elementary and Intermediate Algebra Last problem for the day, and thanks again for you help. This one says to compute and write the answer in scientific notation. 1x10^-8 / 4x10^7 1 solutions Answer 78567 by checkley71(8403)   on 2007-11-03 16:58:07 (Show Source): You can put this solution on YOUR website! 1*10^-8/4*10^7 THE TERM 10^-8 IS THE SAME AS 1/10^8 THEREFORE WE HAVE THE FOLLOWING FRACTION: 1/10^8*4*10^7=1/4*10^15 ANSWER.

Numbers_Word_Problems/107783: one number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers. 1 solutions Answer 78566 by checkley71(8403)   on 2007-11-03 16:53:10 (Show Source): You can put this solution on YOUR website! X+6=Y Y+3(X+6)=34 (X+6)+3(X+6)=34 X+6+3X+18=34 4X=34-6-18 4X=10 X=10/4 X=2.5 ANSWER. 2.5+6=Y Y=8.5 ANSWER. PROOF 8.5+3(2.5+6)=34 8.5+3(8.5)=34 8.5+25.5=34 34=34

Money_Word_Problems/107794: Someone invested $12,000.00 for her education. The person invests a portion in a bank certificate of deposit which earns 4% and the remainder in a savings bond that earns 7.5%. If the total interest earned after one year is $720.00, how much money was invested in the CD account? 1 solutions Answer 78565 by checkley71(8403)   on 2007-11-03 16:47:19 (Show Source): You can put this solution on YOUR website! .04X+.075(12,000-X)=720 .04X+900-.075X=720 -.035X=720-900 -.035X=-180 X=-180/-.035 X=5,142.86 INVESTED @ 4%. 12,000-5,142.86=6,857.14 PROOF .04*5,142.86+.075*6,857.14=720 205.71+514.29=720 720=720

Miscellaneous_Word_Problems/107798: This question is from textbook University of Phoenix Elementary and Intermediate Algebra I'm having struggles with this word problem, could someone please help me. You guys are the best!! The length of a rectangular swimming pool is 2x-1 meters, and the width is x+2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters. 1 solutions Answer 78563 by checkley71(8403)   on 2007-11-03 16:29:07 (Show Source): You can put this solution on YOUR website! AREA=WIDTH*LENGTH OR: A=(2X-1)(X+2) SETTING X=5 WE GET A=(2*5-1)(5+2) A=(10-1)(7) A=9*7 A=63 SQUARE METERS.

Linear-equations/107799: A roof rises 2.75 ft over a horizontal distance of 15.01 ft. What is the slope of the roof to the nearest hundredth? Thank you. 1 solutions Answer 78562 by checkley71(8403)   on 2007-11-03 16:25:44 (Show Source): You can put this solution on YOUR website! USING A REFERENCE POINT OF (0,0) AND THE EDGE OF THE ROOF IS (15.01,2.75) WE HAVE THE FOLLOWING SLOPE: (2.75-0)/(15.01-0)=2.75/15.01=.183 IS THE SLOPE.

Linear-equations/107800: Determine which two equations represent perpendicular lines. (a) y = 9x – 5 (b) y = x + 5 (c) y = –3x + 5 (d) y = x – 5 1 solutions Answer 78561 by checkley71(8403)   on 2007-11-03 16:19:41 (Show Source): You can put this solution on YOUR website! FOR A LINE TO BE PERPENDICULAR IT MUST HAVE A SLOPE=THE NEGATIVE RECIPRICAL TO ANOTHER LINE. THE NEGATIVE RECIPRICAL OF 9 IS -1/9 THE NEGATIVE RECIPRICAL OF 1=-1 THE NEGATIVE RECIPRICAL OF -3 IS 1/3 THEREFORE NONE OF THESE CHOICES MEET THE REQUIREMENTS.

Graphs/107806: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x – 6y = 9 and passing through (-2, -1). 1 solutions Answer 78560 by checkley71(8403)   on 2007-11-03 16:13:38 (Show Source): You can put this solution on YOUR website! 3x-6y=9 -6y=-3x+9 NOW WE HAVE TO REDUCE THE -6Y TERM TO Y. WE DO THIS BY DIVIDING ALL THE TERMS BY -6. -6y/-6=-3x/-6+9/-6 NOW WE REDUCE WHENEVER POSSIBLE. y=1/2x-3/2 HERE IT'S EASIER TO DEAL IN DECIMALS THAN FRACTIONS. y=.5x-1.5 (red line) the perpendicular line has a slope of -2 ( THIS IS THE NEGATIVE RECIPRICAL OF .5) & PASSING THROUGH (-2,-1) USING THE LINE EQUATIO (Y=mX+b) WHERE m=SLOPE & b= THE Y INTERCEPT. -1=-2*-2+b -1=4+b b=-1-4 b=-5 thus the equation is: y=-2x-5 (green line) (graph 200x200 pixels, x from -6 to 5, y from -6 to 5, of TWO functions y = .5x -1.5 and y = -2x -5).

Linear-equations/107801: Write the equation of the line which passes through the point (2, 1) and is parallel to the line with equation y = 5/2 x + 6 (that is five over 2 with an x next to the fraction). 1 solutions Answer 78558 by checkley71(8403)   on 2007-11-03 15:37:43 (Show Source): You can put this solution on YOUR website! Y=5X/2+6 HAS A SLOPE OF 5/2 (RED LINE) SO A PARALLEL LINE ALSO HAS A SLOPE OF 5/2. NOW SUBSTITUTE THE (2,1) VALKUES FOR (X,Y) IN THE STANDARD LINE FORMULA & SOLVE FOR THE Y INTERCEPT THUS: 1=5/2*2+b 1=5+b b=1-5 b=-4 THE Y INTERCEPT. THUS THE LINE EQUATION IS: Y=5X/2-4 ANSWER. (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 5x/2 +6 and y = 5x/2 -4).

Linear-equations/107802: Determine which two equations represent perpendicular lines. (a) y = 3\10x - 3 (that is 3 over 10 w/ an x next to the fraction) (b) y = 3x – 3\10 (that is the fraction 3 over 10) (c) y = - 1\5x + 3\10 (one over five and 3 over 10) (d) y = 5x – 3\10 (3 over 10) 1 solutions Answer 78556 by checkley71(8403)   on 2007-11-03 15:29:30 (Show Source): You can put this solution on YOUR website! C) has a slope of -1/5 D) has a slope of 5 (the negative reciprical of -1/5) therefore they are perpendicular lines.

Complex_Numbers/107652: 2x²+26=-10 1 solutions Answer 78504 by checkley71(8403)   on 2007-11-02 22:44:29 (Show Source): You can put this solution on YOUR website! 2X^2+26=-10 2X^2=-10-26 2X^2=-36 X^2=-36/2 X^2=-18 X=SQRT-18 X=3SQRT-2 ANSWER. PROOF 2(3SQRT-2)^2+26=-10 2(9*-2)+26=-10 2*-18+26=-10 -36+26=-10 -10=-10

Geometry_Word_Problems/107675: Two angles are supplementary and the measure of one of them is 20% less than three times the measure of the other. Find the measure of each angle. 1 solutions Answer 78502 by checkley71(8403)   on 2007-11-02 22:37:19 (Show Source): You can put this solution on YOUR website! X+Y=180 OR X=180-Y X=.2(3Y) 180-Y=.6Y 1.6Y=180 Y=180/1.6 Y=112.5 FOR THE LARGER ANGLE. X=.2(3*112.5) X=.2(337.5) X=67.5 FOR THE SMALLER ANGLE. PROOF 112.5=67.5=180 180=180

Polynomials-and-rational-expressions/107743: Manipulate literal equations. 38. Use the formula C=2πr to find r of a circle with a 100 meter circumference. Use 3.14 as an approximation for π. 39. Use the formula C=2πr to find r of a circle with a 10 meter circumference. Use 3.14 as an approximation for π. 40. Use the formula C=2πr to find r of a circle with a 28 inch circumference. Use 3.14 as an approximation for π. 1 solutions Answer 78500 by checkley71(8403)   on 2007-11-02 22:30:47 (Show Source): You can put this solution on YOUR website! C=2PIR 100=2*3.14*R 100=6.28R R=100/6.28 R=15.92 METERS IS THE ANSWER FOR THE RADIUS. I'LL LEAVE THE REST FOR YOU TO SOLVE.

Graphs/107691: Solve. 8 – (4x – 3) = 19 1 solutions Answer 78499 by checkley71(8403)   on 2007-11-02 22:27:54 (Show Source): You can put this solution on YOUR website! 8-(4X-3)=19 8-4X+3=19 -4X=19-8+3 -4X=8 X=8/-4 X=-2 ANSWER. PROOF 8-(4*-2-3)=19 8-(-8-3)=19 8-(-11)=19 8+11=19 19=19

decimal-numbers/107742: if you invest $5,000 for a year and earn $400 invest,what is the annual interest rate ?( use the formula i=prt.) 1 solutions Answer 78496 by checkley71(8403)   on 2007-11-02 22:23:30 (Show Source): You can put this solution on YOUR website! I=PRT 400=5,000*R*1 400=5,000R R=400/5,000 R=.08 OR 8% IS THE RATE OF INTEREST.

Exponents/107730: I'm having trouble with fractions as exponents. Simplify the expression, if possible. a) 81^3/4 b) -81 3/4 c) (-81)^3/4 d) 81^-3/4 e) -81^-3/4 f) (-81)^-3/4 Please help! 1 solutions Answer 78495 by checkley71(8403)   on 2007-11-02 22:21:32 (Show Source): You can put this solution on YOUR website! A) 81^3/4=THE FOURTH ROOT OF 81^3 OR FOURTH ROOT OF (81*81*81) OR FOURTH ROOT OF (9*9*9*9*9*9) OR 9FOURTH ROOT OF (9*9) OR 9FOURTH ROOT(3*3*3*3) OR 9*3=27 ANSWER. PROOF 27^4=81^3 531,441=531,441.

Expressions-with-variables/107734: 86. What expression raised to the fourth power is 81x12y8z16? 1 solutions Answer 78493 by checkley71(8403)   on 2007-11-02 22:11:54 (Show Source): You can put this solution on YOUR website! 81X^12Y^8Z^16=(3X^3Y^2Z^4)^4 ANSWER.

Expressions-with-variables/107741: For each of the following problems, let x represent the number and then write an expression for the product. 42. The square of 5 more than a number 1 solutions Answer 78491 by checkley71(8403)   on 2007-11-02 22:07:57 (Show Source): You can put this solution on YOUR website! (N+5)^2 ANSWER.