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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Money_Word_Problems/208679: Susan wants to invest 5000. If she invests part at 7% simple interest, part at 6%, and receives a total of 332 after one year, how much does she invest at each rate? I need help with the formula and solution, please. 1 solutions Answer 157926 by checkley77(12569)   on 2009-08-26 16:38:30 (Show Source): You can put this solution on YOUR website! .07X+.06(5,000-X)=332 .07X+300-.06X=332 .01X=332-300 .01X=32 X=32/.01 X=3,200 AMOUNT INVESTED $ 7%. 5,000-3,200=1,800 INVESTED @ 6%. PROOF: .07*3,200+.06*1,800=332 224+108=332 332=332

Linear-systems/208711: 30,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. The day's receipts were $201,000. How many people paid $13.00 for reserved seats, and how many paid $4.00 for general admission? 1 solutions Answer 157924 by checkley77(12569)   on 2009-08-26 16:32:40 (Show Source): You can put this solution on YOUR website! X+Y=30,000 X=30,000-Y 13X+4Y=201,000 13(30,000-Y)+4Y=201,000 390,000-13Y+4Y=201,000 -9Y=201,000-390,000 -9Y=189,000 Y=189,000/9 Y=21,000 $4.00 TICKETS WERE SOLD. 30,000-21,000=9,000 $13.00 TICKETS WERE SOLD. PROOF: 13*9,000+4*21,000=201,000 117,000+84,000=201,000 201,000=201,000

Polynomials-and-rational-expressions/208726: Simplify each expression. Assume all variables represent nonzero real numbers. -4^0 – 3^0 1 solutions Answer 157921 by checkley77(12569)   on 2009-08-26 16:23:11 (Show Source): You can put this solution on YOUR website! -4^0 – 3^0 -1-1=-2 ANS.

Angles/208739: The perimeter of a rectangle is 28m. The length of the retangle is 4m less than twice the width. Find the length 1 solutions Answer 157919 by checkley77(12569)   on 2009-08-26 16:19:48 (Show Source): You can put this solution on YOUR website! 2L+2W=28 L=2W-4 2(2W-4)+2W=28 4W-8+2W=28 6W=28+8 6W=36 W=36/6 W=6 NS. FOR THE WIDTH. L=2*6-4 L=12-4 L=8 ANS. FOR THE LENGTH. 2*8+2*6=28 16+12=28 28=28

Angles/208740: an isosceles triangle has two sides of equal length. the length os the third side is 4 ft less than twice the length of an equal side. Find the length of the third side when the perimeter is 20 ft. 1 solutions Answer 157918 by checkley77(12569)   on 2009-08-26 16:15:49 (Show Source): You can put this solution on YOUR website! x+x+(2x-4)=20 2x+2x-4=20 4x=20+4 4x=24 x=24/4 x=6 ft. is the length of the equal sides. 2*6-4=12-4=8 ft. is the length of the third side. Proof: 6+6+8=20 20=20

Linear-equations/208748: which product represents the solution to the system: -y+7x=14 -x+4y=1 1 solutions Answer 157916 by checkley77(12569)   on 2009-08-26 16:03:49 (Show Source): You can put this solution on YOUR website! -y+7x=14 multiply by 4 & add. -x+4y=1 28x-4y=56 --------------------- 27x=57 x=57/27 x=19/9 ans. -19/9+4y=1 4y=1+19/9 4y=(9+19)/9 4y=28/9 y=(28/9)/4 y=(28/9)(1/4) y=28/36 y=7/9 ans. -7/9+7(19/9)=14 -7/9+133/9=14 126/9=14 14=14

Coordinate-system/208782: Solve for the variable. non-integer answers may be left in fractional form or decimal form 3/5x + 7/10= 1/3x + 3/2 1 solutions Answer 157914 by checkley77(12569)   on 2009-08-26 15:54:45 (Show Source): You can put this solution on YOUR website! 3/5x+7/10=1/3x+3/2 3x/5-x/3=3/2-7/10 (3x*3-x*5)/(5*3)=(3*10-7*2)/(2*10) (9x-5x)/15=(30-14)/20 4x/15=16/20 4x*20=15*16 80x=240 x=240/80 x=3 ans. Proof: 3*3/5+7/10=3/3+3/2 9/5+7/10=1+1.5 1.8+.7=2.5 2.5=2.5

Travel_Word_Problems/208718: A postal truck leaves its station and heads to Chicago ,averaging 40 mph. An error in the mailing schedule is spotted and 24 minutes after the truck leaves, a car is sent to overtake the truck. If the car averages 50mph, how long will it take to catch the postal truck? 1 solutions Answer 157849 by checkley77(12569)   on 2009-08-26 10:32:23 (Show Source): You can put this solution on YOUR website! D=RT D=40X D=50(X-.4) SEEING AS THE DISTANCES ARE THE SAME SET THEM EQUAL TO EACH OTHER. 40x=50(x-.4) 40x=50x-20 40x-50x=-20 -10x-20 x=-20/-10 x=2 HOURS THEY WILL MEET. 40*2=50(2-.4) 80=50*1.6 80=80

Expressions-with-variables/208724: A first square has a side of length x while the length of a side of second square is 2 units greater than the length of a side of the first square. What is an expression for the sum of the areas of the two squares? 1 solutions Answer 157848 by checkley77(12569)   on 2009-08-26 10:26:13 (Show Source): You can put this solution on YOUR website! x^3+(x+2)^3 x^3+x^3+6x^2+12x=8 2x^3+6x^2+12x+8 2(x^3+3x^2+6x+4) ans.

Equations/208597: I am not sure how to solve this question. I appreciate any help... Solve 28x-32>4(6x-1) Thank you so much!!! 1 solutions Answer 157785 by checkley77(12569)   on 2009-08-25 20:34:51 (Show Source): You can put this solution on YOUR website! 28x-32>4(6x-1) 28x-32>24x-4 28x-24x>-4+32 4x>28 x>28/4 x>7 ans. Proof: Let x=7.1 28*7.1-32>4(6*7.1-1) 198.8-32>4(42.6-1) 166.8>4*41.6 166.8>166.4

Expressions-with-variables/208605: How to solve this equation please: 0.5(c+2.8) - c = 0.6c+0.3 Step by step would be nice. Anything is appreciated. 1 solutions Answer 157783 by checkley77(12569)   on 2009-08-25 20:30:04 (Show Source): You can put this solution on YOUR website! 0.5(c+2.8)-c=0.6c+0.3 .5c+1.4-c=.6c+.3 .5c-c-.6c=.3-1.4 -1.1c=-1.1 c=-1.1/-1.1 c=1 ans. Proof: .5(1+2.8)-1=.6*1+.3 .5*3.8-1=.6+.3 1.9-1=-.9 .9=.9

expressions/208579: Can anyone please help me with the folowing problem? 6(9x-7) Thank you 1 solutions Answer 157779 by checkley77(12569)   on 2009-08-25 20:13:35 (Show Source): You can put this solution on YOUR website! 6(9x-7) 6*9x-6*7 54x-42 ans

Equations/208581: Could you please help me out with this problem? Solve using addition and multiplication together... 3y-8= -1+2y Thanks!!!!! 1 solutions Answer 157777 by checkley77(12569)   on 2009-08-25 20:11:55 (Show Source): You can put this solution on YOUR website! 3y-8=-1+2y 3y-2y=-1+8 y=7 ans. Proof: 3*7-8=-1+2*7 21-8=-1+14 13=13

Graphs/208589: m/5+3>9 1 solutions Answer 157776 by checkley77(12569)   on 2009-08-25 20:08:58 (Show Source): You can put this solution on YOUR website! m/5+3>9 m/5>9-3 m/5>6 m>6*5 m>30 ans. Proof: Let m=31 31/5+3>9 31/5>9-3 31/5>6 6.2>6

Travel_Word_Problems/208590: Please help me solve this equation: What is the speed of a bus that travels 250.0 km in 2.00 hours? 1 solutions Answer 157773 by checkley77(12569)   on 2009-08-25 20:06:20 (Show Source): You can put this solution on YOUR website! 250/2=125 KM PER HOUR IS THE SPEED OF THE BUS.

Rectangles/208558: The length of a rectangle is 5 cm more than the width. The area is 84cm sq. Find the dimensions of the rectangle. 1 solutions Answer 157772 by checkley77(12569)   on 2009-08-25 20:04:42 (Show Source): You can put this solution on YOUR website! L=W+5 LW=84 (W+5)W=84 W^2+5W-84=0 (W+12)(W-7)=0 W-7=0 W=7 ANS. FOR THE WIDTH. L=7+5=12 ANS. FOR THE LENGTH. PROOF: 7*12=84 84=84

Expressions-with-variables/208560: If the temperature in degrees Fahrenheit is known, the temperature in degrees celsius can be found by substituting the fahrenheit temperature f in the following expression 5/9[f-32] on a hot day the temperature is 35 degrees celsius what is the temperature in degrees fahrenheit 1 solutions Answer 157770 by checkley77(12569)   on 2009-08-25 20:00:54 (Show Source): You can put this solution on YOUR website! 35=5/9[f-32] 35=(5f-160)/9 35*9=5f-160 5f=315+160 5f=475 f=475/5 f=95 degrees fahrenheit is the ans.

Travel_Word_Problems/208562: If train A leaves the station going 60 miles per hour and train B leaves one hour later going 85 miles per hour, how long will it take train B to catch up with train A? 1 solutions Answer 157766 by checkley77(12569)   on 2009-08-25 19:47:59 (Show Source): You can put this solution on YOUR website! D=RT D=60T FOR TRAIN A. D=85(T-1) FOR THRAIN B. KNOWING THAT THE DISTANCES ARE THE SAME WE SET THE DISTANCE EQUATIONS EQUAL TO EACH OTHER. 60T=85(T-1) 60T=85T-85 60T-85T=-85 -25T=-85 T=-85/-25 T=3.4 HOURS AFTER TRAIN A LEAVES TRAIN B WILL CATCH UP TO IT. PROOF: 60*3.4=85(3.4-1) 204=85*2.4 204=204

Linear-equations/208570: Find the equations in standard form with all coefficient integers of the line perpendicular to x + 3y = 6 and passing through (-3,3) 1 solutions Answer 157765 by checkley77(12569)   on 2009-08-25 19:32:07 (Show Source): You can put this solution on YOUR website! x + 3y = 6 (a line perpendicular to & passing through (-3,3)) 3Y=-X+6 Y=-X/3+6/3 Y=-X/3+2 THIS LINE HAS A SLOPE=-1/3. A PERPENDICULAR LINE HAS A SLOPE=3 3=-3*3+b 3=-9+b 3+9=b b=12 THE Y INTERCEPT OF THE PERPENDICULAR LINE. Y=3X+12 (graph 300x200 pixels, x from -6 to 5, y from -10 to 20, 3x +12).

expressions/208572: This question is from textbook can anyone help me with this problem? evaluate xy if x=-6 and y=4? Would you multiply -6 and 4? Thank you 1 solutions Answer 157762 by checkley77(12569)   on 2009-08-25 19:21:35 (Show Source): You can put this solution on YOUR website! evaluate xy if x=-6 and y=4? xy=x*y So -6*4=-24 ans.

Average/208575: How do I work this problem:"Latisha started with two scores: 72% and 89%. Confirm that the average of these two scores is 80.5%." 1 solutions Answer 157761 by checkley77(12569)   on 2009-08-25 19:19:49 (Show Source): You can put this solution on YOUR website! 72% and 89% (72+89)/2=161/2=80.5 ans.

Miscellaneous_Word_Problems/208422: (70a-40b)/-10 1 solutions Answer 157760 by checkley77(12569)   on 2009-08-25 19:18:14 (Show Source): You can put this solution on YOUR website! (70a-40b)/-10 -7a+4b ans.

Graphs/208458: 2y^4-y^3-6y^2 1 solutions Answer 157756 by checkley77(12569)   on 2009-08-25 19:04:33 (Show Source): You can put this solution on YOUR website! 2y^4-y^3-6y^2 Y^2(2Y^2-Y-6) Y^2(2Y+3)(Y-2) ANS.

Quadratic_Equations/208463: 1/2x-5/3=-1/2x+19/4 1 solutions Answer 157753 by checkley77(12569)   on 2009-08-25 18:58:33 (Show Source): You can put this solution on YOUR website! 1/2x-5/3=-1/2x+19/4 X/2+X/2=19/4+5/3 X=(19*3+5*4)/(4*3) X=(57+20)/12 X=77/12 ANS. PROOF: 1/2*77/12-5/3=-1/2*77/12+19/4 77/24-5/3=-77/24+19/4 77/24+77/24=19/4+5/3 154/24=(19*3+5*4)/12 154/24=(57+20)/12 154/24=77/12 24*77=12*154 1848=1848

Quadratic_Equations/208464: -2/3(6/5-7/10)=17/20 1 solutions Answer 157751 by checkley77(12569)   on 2009-08-25 18:49:11 (Show Source): You can put this solution on YOUR website! -2/3(6/5-7/10)=17/20 -2/3(6*2-7)/10=17/20 -2/3(12-7)/10=17/20 -2/3*5/10=17/20 -10/30 DOES NOT =17/20 SOMETHING IS WRONG HERE! CORRECT & RESUBMIT.

Angles/208490: I am having trouble setting up this problem: In Triangle ABC, the measure of angle A is 141 degree's more than the measure of angle B. The measure of angle B is the same as the measure of angle C. What is the measure of each angle. 1 solutions Answer 157750 by checkley77(12569)   on 2009-08-25 18:39:52 (Show Source): You can put this solution on YOUR website! B=C A=B+141 OR A-B=141 A+B+C=180 A+2B=180 -(A-B=141) SUBTRACT THESE TWO EQUATIONS ---------------------- 2B+B=39 3B=39 B=39/3 B=13 DEGREES. C=13 DEGREES. A=13+141 A=154 DEGREES. PROOF: 154+13+13=180 180=180

Graphs/208496: solve the system using the substution method 2x-6y=-4 7x+y=25 solution (?/22,39/?) 1 solutions Answer 157749 by checkley77(12569)   on 2009-08-25 18:25:45 (Show Source): You can put this solution on YOUR website! 2x-6y=-4 7x+y=25 or y=25-7x 2x-6(25-7x)=-4 2x-150+42x=-4 44x=-4+150 44x=146 x=146/44 x=73/22 ans. y=25-7*73/22 y=25-511/22 y=(25*22-511)/22 y=(550-511)/22 y=39/22 ans. solution (73/22,39/22)

Expressions-with-variables/208497: Blake has a total of $1600 to invest in 2 accounts. one account earns 5% simple intereest and the other earns 7% simple interest. how much should be invested in both accounts to earn exactly $90 at the end of 1 year? ? 5% account ? 7% account 1 solutions Answer 157744 by checkley77(12569)   on 2009-08-25 18:18:20 (Show Source): You can put this solution on YOUR website! .07x+.05(1,600-x)=90 .07x+80-.05x=90 .02x=90-80 .02x=10 x=10/.02 x=500 amount invested @ 7% 1,600-500=1,100 amount invested @ 5% Proof: .07*500+.05*1,100=90 35+55=90 90=90

Linear-systems/208501: Solve the linear system: 2x + 7y = 41, 2y = 3x + 1 1 solutions Answer 157742 by checkley77(12569)   on 2009-08-25 18:14:03 (Show Source): You can put this solution on YOUR website! 2x+7y=41 multiply this equation by 3 2y=3x+1 -3x+2y=1 multiply this equation by 2 and add them 6x+21y=123 -6x+4y=2 ----------------------- 25y=125 y=125/5 y=5 ans. 2x+7*5=41 2x+35=41 2x=41-35 2x=6 x=6/2 x=3 ans. Proof: -3*3+2*5=1 -9+10=1 1=1

Signed-numbers/208507: factor 20x-44 1 solutions Answer 157740 by checkley77(12569)   on 2009-08-25 18:07:19 (Show Source): You can put this solution on YOUR website! 20x-44 4(5x-11) ans.

Money_Word_Problems/208508: 2. Jane went to the race course with $70 in her pocket. She bet all $70. In the first four races Jane won $16, lost$12, lost $7, won $5. Overall how much money did Jane win or lose? 1 solutions Answer 157739 by checkley77(12569)   on 2009-08-25 18:06:01 (Show Source): You can put this solution on YOUR website! 70+16-12-7+5=72 she won a total of $2 dollars.