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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Money_Word_Problems/224660: a total of $4,500 is invested in two funds that pay 4% and 5% simple intrest. the annunal intrest is $210.00. how much is invested in the fund paying 4% interest? 1 solutions Answer 167803 by checkley77(12569)   on 2009-10-10 19:20:58 (Show Source): You can put this solution on YOUR website! .05x+.04(4,500-x)=210 .05x+180-.04x=210 .01x=210-180 .01x=30 x=30/.01 x=3,000 amount invested @ 5%. 4,500-3,000=1,500 amount invested @ 4%. Proof: .05*3,000+.04*1,500=210 150+60=210 210=210

Travel_Word_Problems/224661: an airplane flying into a headwind travels 3000 miles in 6 hours and 15 minutes. on the return flight, the same distance is traveled in 5 hours. find the speed of the airplane in still air. 1 solutions Answer 167802 by checkley77(12569)   on 2009-10-10 19:16:25 (Show Source): You can put this solution on YOUR website! d=rt r=d/t r=3,000/6.25=480 mph. against the wind. r=3000/5=600 mph. with the wind. (600-480)2=120/2=60 mph is the speed of the wind. Proof: 600-60=540 mph for the plane in still air. 480+60=540 ditto.

Length-and-distance/224662: Please help me solve this problem...thank you ? 1 solutions Answer 167801 by checkley77(12569)   on 2009-10-10 19:12:24 (Show Source): You can put this solution on YOUR website! d=sqrt[(-1+3)^2+(-6-4)] d=sqrt[2^2-10^2)] d=sqrt[4+100] d=sqrt104 d=10.198 is the distance between these 2 points.

Travel_Word_Problems/224675: If I am going 75 miles per hour and my friend is going 55 miles per hour and he leaves 10 minutes before me, how long will it take me to catch him? 1 solutions Answer 167800 by checkley77(12569)   on 2009-10-10 19:04:57 (Show Source): You can put this solution on YOUR website! d=rt or d=75(x-1/6) d=55x The 2 distances are equal thus: 75(x-1/6)=55x 75x-75/6=55x 75x-55x=75/6 20x=75/6 20x=12.5 x=12.5/20 x=5/8 or .625 or 37.5 minutes after your friend leave you will catch up with him. Proof: 75(5/8-1/6)=55*5/8 75(5*6-8)/48=275/8 75(30-8)/48=275/8 75*22/48=275/8 1,650/48=275/8 48*275=8*1,650 13,200=13,200

decimal-numbers/224676: A numeral with 9 in the ten thousands place and the tens place 1 solutions Answer 167797 by checkley77(12569)   on 2009-10-10 18:47:23 (Show Source): You can put this solution on YOUR website! 90,090 ans.

Linear-equations/224673: what is the slope of y=10 1 solutions Answer 167796 by checkley77(12569)   on 2009-10-10 18:46:22 (Show Source): You can put this solution on YOUR website! Y=mX+b Y=10 this indicates that the x term has a zero multiplier. This slope=0 indicating a horizontal line through y=10. (graph 300x200 pixels, x from -6 to 5, y from -10 to 12, y = 10).

Money_Word_Problems/224572: Jody invested $5000 less in an account paying 4% simple interest than she did in an account paying 3% simple interest. At the end of the first year, the total interest from both accounts was $675. Find the amount invested in each amount invested in each account. 1 solutions Answer 167759 by checkley77(12569)   on 2009-10-10 13:05:57 (Show Source): You can put this solution on YOUR website! .04(X-5,000)+.03X=675 .04X-200+.03X=675 .07X=675+200 .07X=875 X=875/.07 X=12,500 AMOUNT INVESTED @ 3% 12,500-5,000=7,500 INVESTED @ 3% PROOF: .04*7,500+.03*12,500=675 300+375=675 675=675

Linear_Equations_And_Systems_Word_Problems/224580: In 1993, the number of Americans dying from cancer was 6 times the number that died from accidents. If the number of deaths from these two causes totaled 630,000 how many americans died from each cause? 1 solutions Answer 167757 by checkley77(12569)   on 2009-10-10 12:58:39 (Show Source): You can put this solution on YOUR website! X+6X=630,000 7X=630,000 X=630,000/7 X=90,000 DIED IN ACCIDENTS. 6*90,000=540,000 DIED OF CANCER. PROOF: 90,000+540,000=630,000 630,000=630,000

Rectangles/224582: the width if a rectangle is 8 feet less then the lenght. If the area is 20 square feets,find the lenght and width. 1 solutions Answer 167756 by checkley77(12569)   on 2009-10-10 12:55:43 (Show Source): You can put this solution on YOUR website! W=L-8 WL=20 (L-8)L=20 L^2-8L-20=0 (L-10)(L+2)=0 L-10=0 L=10 ANSWER FOR THE WIDTH W=10-2 W=2 ANSWER FOR THE WIDTH. pROOF: 2*10=20 20=20

Linear_Equations_And_Systems_Word_Problems/224581: A rancher raises five times as many cows as horses. If he has 168 animals, how many cows does he have? 1 solutions Answer 167755 by checkley77(12569)   on 2009-10-10 12:51:56 (Show Source): You can put this solution on YOUR website! h+5h=168 6h=168 h=168/6 h=28 horses. 5*28=140 cows. Proof: 28=140=168 168=168

Money_Word_Problems/224476: Dara invested some money at 3% simple interest and $6000 more than that at 4.5% simple interest. After 1 year her total interest from the two accounts was $870. How much did she invest at each rate? 1 solutions Answer 167741 by checkley77(12569)   on 2009-10-10 10:47:10 (Show Source): You can put this solution on YOUR website! .03X+.045(X+6,000)=870 .03X+.045X+270=870 .075X=870-270 .075X=600 X=600/.075 X=8,000 AMOUNT INVESTED @ 3%. 8,000+6,000=14,000 AMOUNT INVESTED @ 4.5%. PROOF: .03*8,000+.045*14,000=870 240+630=870 870=870

Numbers_Word_Problems/224511: a man invested $25,000, part of it was invested at 3% and the rest at 4%. the total annual income from two investments is $950.00. how much was invested at each of these rates? 1 solutions Answer 167738 by checkley77(12569)   on 2009-10-10 10:38:17 (Show Source): You can put this solution on YOUR website! 04X+.03(25,000-X)=950 .04X+750-.03X=950 .01X=950-750 .01X=200 X=200/.01 X=20,000 AMOUNT INVESTED @ 4% 25,000-20,000=5,000 INVESTED @ 3% PROOF: .04*20,000+.03*5,000=950 800+150=950 950=950

Exponents-negative-and-fractional/224518: 1 and five sevenths minus 3 and one seventh 1 solutions Answer 167737 by checkley77(12569)   on 2009-10-10 10:36:24 (Show Source): You can put this solution on YOUR website! 1 5/7-3 1/7 (1*7+5)/7-(3*7+1)/7 (7+5)/7-(21+1)/7 12/7-22/7 -10/7 ANS.

Numbers_Word_Problems/224519: a man invested $25,000, part of it was invested at 3% and the rest at 4%. the total annual income from two investments is $950.00. how much was invested at each of these rates? 1 solutions Answer 167734 by checkley77(12569)   on 2009-10-10 10:29:03 (Show Source): You can put this solution on YOUR website! .04X+.03(25,000-X)=950 .04X+750-.03X=950 .01X=950-750 .01X=200 X=200/.01 X=20,000 AMOUNT INVESTED @ 4% 25,000-20,000=5,000 INVESTED @ 3% PROOF: .04*20,000+.03*5,000=950 800+150=950 950=950

Travel_Word_Problems/224527: A train leaves Danville Union and travels north at a speed of 75 km/h. Two hours later, an express train leaves on a parallel track and travels north at 125 km/h. How far from the station will they meet? 1 solutions Answer 167730 by checkley77(12569)   on 2009-10-10 10:24:42 (Show Source): You can put this solution on YOUR website! D=RT D=75T D=125(T-2) 75T=125(T-2) 75T=125T-250 75T-125T=-250 -50T=-250 T=-250/-50 T=5 HOURS IS THE TIME UNTIL THEY MEET. PROOF: 75*5=125(5-2) 375=125*3 375=375

Linear-equations/224356: change the equation to slope-intercept form and determine the slope and y interceptof the line. 3x+y=8 a) slope is b) (0,?) (y intercept) 1 solutions Answer 167688 by checkley77(12569)   on 2009-10-09 22:33:44 (Show Source): You can put this solution on YOUR website! Y=mX+b m=slope & b=y intercept. 3x+y=8 y=-3x+8 a) slope is -3 b) (0,8) (y intercept) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x +8).

Expressions-with-variables/224361: Solve the system by using the substitution method x=1/4y-5/4 y=2/5x+14/5 (x,y)=( , ) 1 solutions Answer 167687 by checkley77(12569)   on 2009-10-09 22:30:01 (Show Source): You can put this solution on YOUR website! x=y/4-5/4 y=2/5x+14/5 y=2/5(y/4-5/4)+14/5 y=2/5(y/4)+2/5(-5/4)+14/5 y=2y/20-10/20+14/5 y=2y/20-10/20+4*14/20 y=(2y-10+56)/20 y=(2y+46)/20 20y=2y+46 20y-2y=46 18y=46 y=46/18 y=23/9 ans. x=(23/9)*1/4-5/4 x=23/36-5/4 x=23/36-(5*9)/36 x=23/36-45/36 x=-22/36 x=-11/18

Expressions-with-variables/224362: Solve by using either the addition method or the substitution method 1/40x-1/5y=-1/8 x+1/15y=46/15 The solution is ( , ) 1 solutions Answer 167680 by checkley77(12569)   on 2009-10-09 21:49:08 (Show Source): You can put this solution on YOUR website! X/40-Y/5=-1/8 MULTIPLY BY 1/3 & ADD. X+Y/15=46/15 X/120-Y/15=-1/24 ---------------------- X+X/120=46/15-1/24 (120X+X)/120=(46*24-1*15)/360 MULTIPLY BOTH SIDES BY 120 121X=(1,104-15)/3 3*121X=1,089 363X=1,089 X=1,089/363 X=3 ANS. 3+Y/15=46/15 Y/15=46/15-3 Y/15=(46-3*15)/15 Y/15=(46-45)/15 Y/15=1/15 Y=1 ANS. PROOF: 3/40-1/5=-1/8 3/40-8/40=-1/8 -5/40=-1/8 -1/8=-1/8 The solution is ( , )

Expressions-with-variables/224365: A chemistry student wants to mix an 13% acid solution with a 51% acid solution to g 13L of a 29% acid solution. How many liters of the 13% solution and how many liters of the 51% solution should be mixed The mixture contains 7.52632 L of 13% acid solution and 5.47363 L of 51%acid solution 19 __ 1 solutions Answer 167674 by checkley77(12569)   on 2009-10-09 21:26:14 (Show Source): You can put this solution on YOUR website! .51X+.13(13-X)=.29*13 .51X+1.69-.13X=3.77 .38X=3.77-1.69 .38X=2.08 X=2.08/.38 X=5.47368 LITERS OF 51% ACID IS USED. 13-5.47368=7.52632 LITERS OF 13% ACID IS USED. PROOF: .51*5.47368+.13*7.52632=3.77 2.79158+.97842=3.77 3.77=3.77

Equations/224366: I have read this question over and over and I just don't understand it, help please! The sum of the page numbers on facing pages of a book is 157; what are the pages numbers? 1 solutions Answer 167671 by checkley77(12569)   on 2009-10-09 21:12:02 (Show Source): You can put this solution on YOUR website! X+(X+1)=157 2X=157-1 2X=156 X=156/2 X=78 IS THE LEFT HAND PAGE NUMBER. 78+1=79 IS THE NUMBER OF THE RIGHT HAND PAGE.

Equations/224367: A girl buys three apples and seven oranges for $4.56. If an orange cost .28 more than an apple, how much does each fruit cost? 1 solutions Answer 167670 by checkley77(12569)   on 2009-10-09 21:09:32 (Show Source): You can put this solution on YOUR website! 3X+7(X+.28)=4.56 3X+7X+1.96=4.56 10X=4.56-1.96 10X=2.60 X=2.60/10 X=.26 COST OF AN APPLE. .26+.28=.54 COST OF AN ORANGE. PROOF: 3*.26+7*.54=4.56 .78+3.78=4.56 4.56=4.56

Equations/224369: Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side? 1 solutions Answer 167668 by checkley77(12569)   on 2009-10-09 21:02:05 (Show Source): You can put this solution on YOUR website! .5X+30+X-2+X=378 2.5X=378-30+2 2.5X=350 X=350/2.5 X=140 IS THE LENGTH OF THE LONGEST SIDE. .5*140+30=70+30=100 IS THE SHORTEST SIDE. 140-2=138 FOR THE MIDDLE LENGTH SIDE. pROOF: 140+100+138=378 378=378

Travel_Word_Problems/224371: Two cyclists startat the same time from opposite ends of a cours that is 51 miles long. One cyclist is riding at a rate of 16mph, and the second cyclist is riding at a rate of 18mph. How long after they begin will they meet? 1 solutions Answer 167667 by checkley77(12569)   on 2009-10-09 20:56:56 (Show Source): You can put this solution on YOUR website! D=RT 51=(16+18)T 51=34T T=51/34T 1.5 HOURS IS THE TIME IT WILL TAKE THEM TO MEET.

expressions/224384: Could you help me with this problem? Dina and Masha start out on a 10km bikepath at the same time. When Dina reaches the end of the 10km, Masha still has 2km left to bike. Dina's biking speed is 5km per hour, find Masha's biking speed. 1 solutions Answer 167666 by checkley77(12569)   on 2009-10-09 20:53:03 (Show Source): You can put this solution on YOUR website! D=RT 10=5T T=10/5 T=2 HOURS FOR DINA'S RIDE. 8=X*2 X=8/2 X=4 KPH IS MASKA'S SPEED.

Polynomials-and-rational-expressions/224394: How much is an eighth of a dollar? 1 solutions Answer 167665 by checkley77(12569)   on 2009-10-09 20:49:07 (Show Source): You can put this solution on YOUR website! 1/8*1.00=.125 or 12 1/2 cents.

Expressions-with-variables/224396: 4(b-1)=-4+4b 1 solutions Answer 167663 by checkley77(12569)   on 2009-10-09 20:47:19 (Show Source): You can put this solution on YOUR website! 4(b-1)=-4+4b 4b-4=-4+4b 4b-4b=-4+4 0b=0 b=0

Geometry_Word_Problems/224437: a field has an area of 5000 square yards. if its width is 50 yards, what is its length? 1 solutions Answer 167662 by checkley77(12569)   on 2009-10-09 20:44:58 (Show Source): You can put this solution on YOUR website! 50x=5000 x=5000/50 x=100 yds. is the length of the field.

Expressions-with-variables/224399: 2/3a-3/4=3/4a 1 solutions Answer 167660 by checkley77(12569)   on 2009-10-09 20:43:40 (Show Source): You can put this solution on YOUR website! 2/3a-3/4=3/4a 2a/3-3/4=3a/4 2a/3-3a/4=3/4 (4*2a-3*3a)/(3*4)=3/4 (8a-9a)/12=3/4 -a/12=3/4 -4a=3*12 -4a=36 a=36/-4 a=-9 ans. Proof: 2/3*-9-3/4=3/4*-9 -18/3-3/4=-27/4 -6=-27/4+3/4 -6=-24/4 -6=-6

Expressions-with-variables/224434: I cannot think how to solve this problem. Any help with step by step would be so helpful. 3-(2-f)+1=2(2-f) Thanks 1 solutions Answer 167657 by checkley77(12569)   on 2009-10-09 20:36:16 (Show Source): You can put this solution on YOUR website! 3-(2-f)+1=2(2-f) 3-2+f+1=4-2f f+2f=4-3+2-1 3f=2 f=2/3 ans. Proof: 3-2+2/3+1=4-2*2/3 2+2/3=4-4/3 2-4=-4/3-2/3 -2=-6/3 -2=-2

Human-and-algebraic-language/224428: the sum of 38 and twice a number is 124. Find the number 1 solutions Answer 167654 by checkley77(12569)   on 2009-10-09 20:32:11 (Show Source): You can put this solution on YOUR website! 38+2x=124 2x=124-38 2x=86 x=86/2 x=43 ans.Proof: 38+2*43=124 38+86=124 124=124

expressions/224431: i have to multiply the monomials 2x^2(-3x) 1 solutions Answer 167651 by checkley77(12569)   on 2009-10-09 20:30:16 (Show Source): You can put this solution on YOUR website! 2x^2(-3x) -6x^3 ans.