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# Recent problems solved by 'checkley75'

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 Linear_Equations_And_Systems_Word_Problems/103217: Help!!!!!!!!!!!! 1.Your cousin earns about \$25 per week baby-siting and recives one \$5 doller bonus. You earn about \$15 per week mowing lawns and \$12 per week running errands. After working the same number of weeks, you have \$11 more than yor cousin. write and solve an equation to find how many weeks you worked.1 solutions Answer 75066 by checkley75(3666)   on 2007-10-09 17:41:17 (Show Source): You can put this solution on YOUR website!25x+5+11=(15+12)x 25x+16=27x 25x-27x=-16 -2x=-16 x=-16/-2 x=8 in weeks you'll have \$11 more than your cousin. proof 25*8+16=27*8 200+16=216 216=216
 Money_Word_Problems/103215: This question is from textbook Algebra 1 A local computer center charges nonmemebers \$5 per session to used the media center.If you pay a membership fee of \$25 you pay only \$3 per session. Write an equation tht can help you dicide whether to become a member. Then solve the equation and interpret the solution. 1 solutions Answer 75065 by checkley75(3666)   on 2007-10-09 17:32:48 (Show Source): You can put this solution on YOUR website!5x=25+3x 5x-3x=25 2x=25 x=25/2 x=12.5 this says if you use the services 12 times it is cheeper to pay the \$5 fee: 5x=60 25+3*12=25+36=61 thus you save \$1 for 13 sessions it is cheeper to pay the \$5 session fee. 5*13=\$65 25+13*3=25+39=\$64 thus you save \$1 if you are a member with 13 sessions.
 Problems-with-consecutive-odd-even-integers/103216: This question is from textbook Algebra 1 Find four consecutive integers whose sum is 94.1 solutions Answer 75064 by checkley75(3666)   on 2007-10-09 17:21:45 (Show Source): You can put this solution on YOUR website!x, x+1, x+2, x+3 are the 4 consecutive numbers. x+(x+1)+(x+2)+(x=3)=94 4x+6=94 4x=94-6 4x=88 x=88/4 x=22 answer for the smallest integer. 22+1=23 second integer. 22+2=24 third integer 22+3=25 last integer. proof 22+23+24+25=94 94=94
 Polynomials-and-rational-expressions/103204: how do you solve? (3x-5)(2x+9)=0 1 solutions Answer 75062 by checkley75(3666)   on 2007-10-09 17:17:10 (Show Source): You can put this solution on YOUR website!3x-5=0 3x=5 x=5/3 or 1.66666 answer. 2x+9=0 2x=-9 x=-9/2 or -4.5 answer.
 decimal-numbers/103211: what is the standard notation of 26.3 trillion1 solutions Answer 75061 by checkley75(3666)   on 2007-10-09 17:13:50 (Show Source): You can put this solution on YOUR website!26,300,000,000=2.63*10^10
 Expressions-with-variables/103207: How do you solve? 1 solutions Answer 75059 by checkley75(3666)   on 2007-10-09 17:10:05 (Show Source): You can put this solution on YOUR website!3/(x-1)-6/(x^2-1)=1 3/(x-1)-6/(x-1)(x+1)=1 [3(x+1)-6]/(x+1)(x-1)=1 (3x+3-6)/(x=1)(x-1)=1 (3x-3)/(x+1)(x-1)=1 3(x-1)/(x+1)(x-1)=1 now cancel out the (x-1) tyerms. 3/(x+1)=1 now cross multiply. x+1=3 x=3-1 x=2 answer. proof 3/(2-1)-6/(2^2-1)=1 3/1-6/3=1 3-2=1 1=1
 Quadratic_Equations/103202: How do you solve 1 solutions Answer 75056 by checkley75(3666)   on 2007-10-09 17:02:11 (Show Source): You can put this solution on YOUR website!3y^2-7x-5=0 using the quadratic equation: y=(7+-sqrt[-7^2-4*3*-5])/2*3 y=(7+-sqrt[49-60])/6 y=(7+-sqrt109)/6 y=(7+-10.44)/6 y=(7+10.44)/6 y=17.44/6 y=2.907 answer. y=(7-10.44)/6 y=-3.44/6 y=-.573 answer.
 Equations/103199: This question is from textbook Prentice Hall A cashier's drawer has some \$5 bills, some \$10 bills, and some \$20 bills. There are 15 bills worth a total of \$185. How many \$5 bills, \$10 bills, and \$20 bills are there?1 solutions Answer 75054 by checkley75(3666)   on 2007-10-09 16:55:47 (Show Source): You can put this solution on YOUR website!x+y+z=15 number of bills 5x+10y+20z=185 amount in the drawer. 3 unknowns & only 2 equations needs a table x=====y=====z====value 1=====1=====13===5+10+260=275 too much! 1=====2=====12===5+20+240=265 too much 1=====5=====9====5+50+180=235 too much 1=====10====4====5+100+80=185 looking good for an answer. proof 1+10+4=15 bills. 1*5+10*10+4*20=5+100+80=185 value.
 Expressions-with-variables/103197: This question is from textbook 2[5(w+3)-(w+1)]=3(1+w) please help me solve. Thanks, CJ1 solutions Answer 75051 by checkley75(3666)   on 2007-10-09 16:46:05 (Show Source): You can put this solution on YOUR website!2[5(w+3)-(w+1)]=3(1+w) 2[5w+15-w-1]=3+3w 10w+30-2w-2=3+3w 10w-2w-3w=3-30+2 5w=-25 w=-25/5 w=-5 answer. proof 2[5(-5+3)-(-5+1)]=3(1-5) 2[5*-2-(-4)]=3*-4 2[-10+4]=-12 2*-6=-12 -12=-12
 Mixture_Word_Problems/103174: This question is from textbook Elementary and intermediate algebra how many gallons of a 5% acid solution should be mixed with 30 gallons of a 10% acid solution to obtain a mixture that is 8% acid?1 solutions Answer 75050 by checkley75(3666)   on 2007-10-09 16:31:42 (Show Source): You can put this solution on YOUR website!.05x+.10*30=.08(30+x) .05x+3=2.4+.08x .05x-.08x=2.4-3 -.03x=-.6 x=-.6/-.03 x=20 gallons of 5% acid will be needed. proof .05*20+3=.08*50 1+3=4 4=4
 Money_Word_Problems/103195: This question is from textbook Original price problem. I need to know the steps on how to solve this question - After a 14% price reduction, a boat sold for \$22,360. What was the boat's original price before the reduction? If you can answer with the steps then great! And thanks so much! This was given to us by our College Algebra 2 Teacher without explanation. Supposedly it is in Sullivan's College Algebra section on problem solving, however I cannot locate an example.1 solutions Answer 75049 by checkley75(3666)   on 2007-10-09 16:26:50 (Show Source): You can put this solution on YOUR website!x-(.14x)=22360 .86x=22360 x=22360/.86 \$26,000 is the original price of the boat. proof: 26,000-(26,000*.14)=22360 26,000-3640=22360 22360=22360
 Rate-of-work-word-problems/103194: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?1 solutions Answer 75046 by checkley75(3666)   on 2007-10-09 16:19:23 (Show Source): You can put this solution on YOUR website!4*6/(4+6)=24/10=2.4 hours to paint the house together.
 Graphs/103193: This question is from textbook This is about graphing lines. You have to find the x intercept form and the y intercept form. Then Graph the equation. The problem is y=x+2 How would you solve this? Would you possibly subtract 2 or would you cover up the y and then x equals 2( we learned a shortcut on that part but i wasnt sure if i should do that)1 solutions Answer 75045 by checkley75(3666)   on 2007-10-09 16:17:58 (Show Source): You can put this solution on YOUR website!y=x+2 this says this line has a slope of (1) & the y intercept is (2) or (0,2). now find another point by setting y=0 & solve for x. 0=x+2 x=-2 or (-2,0). now locate these 2 points (-2,0) & (0,2) & draw a line through them.
 Polynomials-and-rational-expressions/103176: The area of a rectangle is 40 in.2. If the length is x+4in. and the width is x-2., what are the dimensions of the rectangle?1 solutions Answer 75044 by checkley75(3666)   on 2007-10-09 16:13:04 (Show Source): You can put this solution on YOUR website!x+4 x-2 --------------- x^2+4x-2x-8 x^2+2x-8=40 x^2+2x-8-48=0 x^2+2x-48=0 (x+8)(x-6)=0 x-6=0 x=6 6+4=10 answer for the length. 6-2=4 for the width. proof. 4*10=40
 Surface-area/102935: Circle: C=220 m. Use 22/7 to find the approximate diameter1 solutions Answer 74864 by checkley75(3666)   on 2007-10-08 10:09:33 (Show Source): You can put this solution on YOUR website!C=22M C=22/7*D 220=22D/7 NOW CROSS MULTIPLY 22D=220*7 22D=1540 D=1540/22 D=70 ANSWER FOR THE DIAMETER. PROOF 220=22/7*70 220=220
 Surface-area/102937: Circle: C=25pie in. Find the exact radius1 solutions Answer 74863 by checkley75(3666)   on 2007-10-08 10:05:41 (Show Source): You can put this solution on YOUR website!C=25PI IF THIS IS THE CIRCUMFERANCE???? THEN: C=PI*2R 2R=25 R=25/2 R=12.5
 Problems-with-consecutive-odd-even-integers/102933: This question is from textbook The greater of two consecutive even intergers, is 20 more than twice the smaller. Find the #. 1 solutions Answer 74861 by checkley75(3666)   on 2007-10-08 10:02:50 (Show Source): You can put this solution on YOUR website!X & X+2 ARE THE 2 CONSECUTIVE EVEN NUMBERS. X+2=2X+20 X-2X=20-2 -X=18 X=-18 ANSWER FOR THE SMALLEST INTERGER. -18+2=-16 FOR THE LARGER INTERGER. PROOF -18+2=2*-18+20 -16=-36+20 -16=-16
 Percentage-and-ratio-word-problems/102848: an investment of \$12000 is deposited into 2 accounts one @5.5% and one @6.5% how much should be invested into each account so each account earns the same interest?1 solutions Answer 74860 by checkley75(3666)   on 2007-10-08 09:58:11 (Show Source): You can put this solution on YOUR website!.065X=.055(12000-X) .065X=660-.055X .065X+.055X=660 .12X=660 X=660/.12 X=5500 INVESTED @ 6.5% 12000-5500=6500 INVESTED @ 5.5% PROOF .065*5500=.055*6500 3575=3575
 Equations/102919: Jill has \$3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?1 solutions Answer 74858 by checkley75(3666)   on 2007-10-08 09:36:53 (Show Source): You can put this solution on YOUR website!N+D=50 OR N=50-D 5N+10D=350 5(50-D)+10D=350 250-5D+10D=350 5D=350-250 5D=100 D=100/5 D=20 NUMBER OF DIMES. 50-20=30 NUMBER OF NICKLES. PROOF 5*30+10*20=350 150+200=350 350=350
 Finance/102920: A coffee merchant has coffee beans that sell for \$9 per pound and \$12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for \$11.25 per pound. How much of each type of bean should be used in the mixture?1 solutions Answer 74856 by checkley75(3666)   on 2007-10-08 09:33:05 (Show Source): You can put this solution on YOUR website!12X+9(100-X)=11.25*100 12X+900-9X=1125 3X=1125-900 3X=225 X=225/3 X=75 POUNDS OF \$12 COFFEE IS NEEDED. 100-75=25 POUNDS OF \$9 COFFEEE IS NEEDED. PROOF 12*75+9*25=1125 900+225=1125 1125=1125
 Geometry_Word_Problems/102929: Pls help me with this. It's really hard!! A farmer wants to make a rectangular garden of 7500 square meters, and she has 250 meters of fencing material. There is already a fence on one side. What dimensions should her garden have? I really need some explanation here. Pls help me. thanks. 1 solutions Answer 74855 by checkley75(3666)   on 2007-10-08 09:23:48 (Show Source): You can put this solution on YOUR website!SEEING AS ONE SIDE IS ALREADY FENCED THE WE NEED 3 SIDES FOR 250 METERS. X+2Y=250 OR X=250-2Y XY=7500 (250-2Y)Y=7500 250Y-2Y^2=7500 2Y^2-250Y+7500=0 2(Y^2-125Y+3750)=0 2(Y-75)(Y-25)=0 Y-75=0 Y=75 METERS ANSWER FOR ONE SIDE THUS THE OTHER SIDE IS: 250-2*75=250-150=100 METERS. PROOF: 75*100=7,500
 Radicals/102930: 1)simplify 4squareroot16x4y10 2)simplify squareroot60xy7z41 solutions Answer 74852 by checkley75(3666)   on 2007-10-08 09:09:27 (Show Source): You can put this solution on YOUR website!1) 4SQRT16X^4Y^10=4*4X^2Y^5=16X^2Y^5 ANSWER. 2) SQRT60XY^7Z^4=2Y^3Z^2SQRT15XY ANSWER.
 Percentage-and-ratio-word-problems/102847: A consultant traveled in a car for 3 hours to attend a meeting. The return trip took only 2 hours (different route) because his speed was 8 miles per hour faster. The total trip was 291 miles. What was the consultant's speed each way?1 solutions Answer 74778 by checkley75(3666)   on 2007-10-07 19:00:56 (Show Source): You can put this solution on YOUR website!3X+2(X+8)=291 3X+2X+16=291 5X=291-16 5X=275 X=275/5 X=55 MPH IS THE SPEED TO THE MEETING & 55+8=63 MPH. PROOF 3*55+2*63=291 165+126=291 291=291
 Inequalities/102824: This question is from textbook I don't know how to solve this problem - please help Solve the system by addition method Eq 1 states: .18x + .27y = .09 Eq 2 states: .06x - .54y = -.04 I'm really stuck here, and need some help1 solutions Answer 74776 by checkley75(3666)   on 2007-10-07 18:57:06 (Show Source): You can put this solution on YOUR website!YOU HAVE 2 CHOICES HERE: YOU CAN MULTIPLY THE FIRST EQUATION BY 2 (ELIMINATE THE Y TERM OR MULTIPLY THE SECOND EQUATION BY -3 (ELIMINATES THE X TERM)& THEN ADD THEM. .36X+.54Y=.18 .06X-.54Y=-.04 NOW ADD: ----------------------------------- .42X=.14 X=.14/.42 X=1/3 ANSWER. NOW REPLACE X BY 1/3 & SOLVE FOR Y. .06*1/3-.54Y=-.04 .02-.54Y=-.04 -.54Y=-.04-.02 -.54Y=-.06 Y=-.06/-.54 Y=1/9 ANSWER. PROOF .18*1/3+.27*1/9=.09 .06+.03=.09 .09=.09
 Trigonometry-basics/102836: This question is from textbook algebra and tringonometry Find the solution to the equation 6x-3=-2x+21.1 solutions Answer 74774 by checkley75(3666)   on 2007-10-07 18:43:45 (Show Source): You can put this solution on YOUR website!6X-3=-2X+21 6X+2X=21+3 8X=24 X=24/8 X=3 ANSWER. PROOF: 6*3-3=-2*3+21 18-3=-6+21 15=15
 Matrices-and-determiminant/102832: Find the solution of using substitution, elimination or Cramers Rule x^2+y^2=7 x-y^2=-1 1 solutions Answer 74772 by checkley75(3666)   on 2007-10-07 18:41:08 (Show Source): You can put this solution on YOUR website!X-Y^2=-1 X=Y^2-1 (Y^2-1)^2+Y^2=7 Y^4-2Y^2+1+Y^2-7=0 Y^4-Y^2-6=0 (Y^2-3)(Y^2+2)=0 Y^2-3=0 Y^2=3 Y=SQRT3 Y=1.732 ANSWER. Y^2+2=0 Y^2=-2 Y=1.414i ANSWER. USING THE EQUATION X=Y^2-1 WE SOLVE FOR X: X=-2-1 X=-3 ANSWER. X=3-1 X=2 ANSWER.
 Linear_Algebra/102835: find an equation in standard form of the line containing the given points. (3,-2), (-2,3)1 solutions Answer 74770 by checkley75(3666)   on 2007-10-07 18:31:35 (Show Source): You can put this solution on YOUR website!slope=(3+2)/(-2-3)=5/-5=-1 now replace x & y in the standard line equation [Y=mX+b] WHERE m=SLOPE & b=Y INTERCEPT & SOLVE FOR b. -2=3*-1+b -2=-3+b b=-2+3 b=1 THUS THE LINE EQUATION IS: Y=-X+1
 Equations/102366: This question is from textbook Algebra how do you found the areaof the circle?1 solutions Answer 74390 by checkley75(3666)   on 2007-10-04 19:58:39 (Show Source): You can put this solution on YOUR website!AREA OF A CIRCLE=PI(3.14)*R(RADIUS)^2OR A=PIR^2
 Human-and-algebraic-language/102358: This question is from textbook Algebra Two boats leave a ramp traveling in opposite directions.The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.1 solutions Answer 74389 by checkley75(3666)   on 2007-10-04 19:57:12 (Show Source): You can put this solution on YOUR website!3x+3(x+10)=150 3x+3x+30=150 6x=150-30 6x=120 x=120/6 x=20 mph for the slower boat. 20+10=30 mph for the faster boat. proof 3*20+3*30=150 60+90=150 150=150
 Equations/102361: I am not sure how to answer this homework problem. It is an online math class, I am not sure of its origins. -2x+4>121 solutions Answer 74388 by checkley75(3666)   on 2007-10-04 19:48:10 (Show Source): You can put this solution on YOUR website!-2x+4>12 -2x>12-4 -2x>8 x<8/-2 [note dividing by a negative number reverses the < or > sign. x<-4 answer. proof let x=-4.1 -2*-4.1+4>12 8.2+4>12 12.2>12
 Human-and-algebraic-language/102173: This question is from textbook Algebra The sum of three consecutive integers is 915. What are the integers?1 solutions Answer 74300 by checkley75(3666)   on 2007-10-03 21:57:47 (Show Source): You can put this solution on YOUR website!X+X+1+X+2=915 3X=915-3 3X=912 X=912/3 X=304 FOR THE SMALLEST NUMBER 304+1=305 FOR THE NEXT NUMBER 304+2=302 FOR THE LARGEST NUMBER PROOF 304+305+306=915 915=915