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# Recent problems solved by 'checkley77'

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 Polynomials-and-rational-expressions/261808: how do you figure out how to do (-4x)^3(-4x)^41 solutions Answer 193014 by checkley77(12569)   on 2010-01-27 17:45:16 (Show Source): You can put this solution on YOUR website!(-4x)^3(-4x)^4 -64X^3*256X^4 -16,384X^7 ANS.
 Linear_Equations_And_Systems_Word_Problems/261814: Dawn is a Seafood chef and can stuff a large party pack of shrimp in six hours. If her brother helps her, they can stuff the large party pack of shrimp in four hours. If Dawn gets sick, how long would it take her brother to stuff the large party of shrimp by himself?1 solutions Answer 193013 by checkley77(12569)   on 2010-01-27 17:39:13 (Show Source): You can put this solution on YOUR website!6X/(6+X)=4 4(6+X)=6X 24+4X=6X 4X-6X=-24 -2X=-24 X=-24/-2 X=12 HOURS FOR THE BROTHER IF HE WORKS ALONE. PROOF: 6*12/6+12=4 72/18=4 4=4
 Inequalities/261818: Rewrite the expression with positive exponents (29xy)^-2/31 solutions Answer 193011 by checkley77(12569)   on 2010-01-27 17:35:25 (Show Source): You can put this solution on YOUR website!(29xy)^-2/3 1/CUBERT(29XY)^2 ANS.
 Surface-area/261819: If the length of the sides of the cube is 2.1 feet, which is closest to the surface area of the box? 1 solutions Answer 193008 by checkley77(12569)   on 2010-01-27 17:25:31 (Show Source): You can put this solution on YOUR website!A CUBE HAS 6 SQUARE SIDES. 6*2.1^2=6*4.41=26.46 FT.^2
 Quadratic_Equations/261839: solve x^2 - 2x - 13 = 01 solutions Answer 193005 by checkley77(12569)   on 2010-01-27 17:16:20 (Show Source): You can put this solution on YOUR website!x^2-2x-13=0 x=(2+-sqrt[-2^2-4*1*-13])/2*1 x=(2+-sqrt[4+52])/2 x=(2+-sqrt56)/2 x=(2+-7.48)/2 x=(2+7.48)/2 x=9.48)/2 x=4.74 ANS. x=(2-7.48)/2 x=-5.48/2 x=-2.74 ans.
 Points-lines-and-rays/261845: Find the polynomial for the perimeter and area.The Width is b+3 and the length is b. 1 solutions Answer 193000 by checkley77(12569)   on 2010-01-27 17:08:12 (Show Source): You can put this solution on YOUR website!2L+2W=PERIMETER 2b+2(b+3)=perimeter 2b+2b+6=perimeter 4b+6=perimeter. ------------------ LW=area b(b+3)=area b^2+3b=area. ------------------
 Rectangles/261901: The perimeter of a rectangle is 72 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? What is the area?1 solutions Answer 192998 by checkley77(12569)   on 2010-01-27 17:03:04 (Show Source): You can put this solution on YOUR website!2B+2H=PERIMETER. 2B+2H=72 B=2H 2(2H)+2H=72 4H+2H=72 6H=72 H=726 H=12 CM. FOR THE HEIGHT. B=2*12=24 CM. FOR THE BASE. PROOF: 2*12+2*24=72 24+48=72 72=72 BH=AREA 12*24=288 CM^2 IS THE AREA.
 Numbers_Word_Problems/261902: Write an equation and solve to find three consecutive integers whose sum is 33.1 solutions Answer 192993 by checkley77(12569)   on 2010-01-27 16:58:29 (Show Source): You can put this solution on YOUR website!X, X+1 & X+2 ARE THE 3 INTEGERS. X+X+1+X+2=33 3X+3=33 3X=33-3 3X=30 X=10 THE FIRST INTEGER. 10+1=11 THE SECOND INTEGER. 10+2=12 THE THIRD INTEGER. PROOF 10+11+12=33 33=33
 Exponents/261903: "what is 8 with a exponent of 15"1 solutions Answer 192989 by checkley77(12569)   on 2010-01-27 16:55:38 (Show Source): You can put this solution on YOUR website!8^15 8*8*8*8*8*8*8*8*8*8*8*8*8*8*8 3.518437209*10^13 ANS.
 Mixture_Word_Problems/261856: How much water must be added to 20.0 mL of a 60.0% slaine solution in order to make a 45.0% saline solution. Please help solve. Thank You!1 solutions Answer 192987 by checkley77(12569)   on 2010-01-27 16:53:05 (Show Source): You can put this solution on YOUR website!.60*20=.45(20+X) 12=9+.45X .45X=12-9 .45X=3 X=3/.45 X=6.667 ML OPF WATER IS USED. PROOF: .60*20=.45(20+6.667) 12=.45*26.667 12=12
 Geometry_Word_Problems/261825: Televisions sets; What does it mean to refer to a 20 inch TV set or a 25 inch TV set? Such units refer to the diagonal of the screen. A 25 inch TV set also has a width of 20 inches. What is its height?1 solutions Answer 192982 by checkley77(12569)   on 2010-01-27 16:46:37 (Show Source): You can put this solution on YOUR website!A^2+B^2=C^2 A^2+20^2=25^2 A^2+400=625 A^2=625-400 A^2=225 A=SQRT225 A=15 INCHES IS THE HEIGHT.
 Miscellaneous_Word_Problems/261828: Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together?1 solutions Answer 192980 by checkley77(12569)   on 2010-01-27 16:43:48 (Show Source): You can put this solution on YOUR website!6*3/(6+3) 18/9=2 HOURS WHEN THEY WORK TOGETHER.
 Graphs/261852: x+2y=8 and 2x+y=-6 ??1 solutions Answer 192979 by checkley77(12569)   on 2010-01-27 16:42:24 (Show Source): You can put this solution on YOUR website!x+2y=8 2Y=-X+8 Y=-X/2+8/2 Y=-X/2+4 (RED LINE) 2x+y=-6 Y=-2X-6 (GREEN LINE) (graph 300x200 pixels, x from -10 to 5, y from -10 to 10, of TWO functions -x/2 +4 and -2x -6). Solution(-6.666,7,333)
 Proportions/261872: 30/48=15/x+91 solutions Answer 192966 by checkley77(12569)   on 2010-01-27 16:18:38 (Show Source): You can put this solution on YOUR website!30/48=15/x+9 15/X=30/48+9 15/X=(30-9*48)/48 15/X=(30-432)/48 15/X=-402/48 CROSS MULTIPLY. -402X=15*48 -402X=720 X=720/-402 X=-120/67 ANS.
 percentage/261873: A salesperson's weekly paycheck is 40% less than her coworker's paycheck. The two paychecks total \$680. Find the amount of each paycheck. (Round your answer to 2 decimal places.) Coworkers paycheck_________ Salesperson's paycheck_________1 solutions Answer 192953 by checkley77(12569)   on 2010-01-27 15:58:22 (Show Source): You can put this solution on YOUR website!X+(1-.4)X=680 X+.6X=680 1.6X=680 X=680/1.6 X=\$425 COWORKER'S PAYCHECK. .6*425=\$255 SALES PERSON'S CHECK. PROOF: 425+255=680 680=680
 Linear-systems/261876: suppose M is between L and N use segment Additing postulate to solve for the variable then find lengths of line LM, line MN and line LN. LM= 3x+8 MN= 2x-5 LN= 23 1 solutions Answer 192949 by checkley77(12569)   on 2010-01-27 15:54:31 (Show Source): You can put this solution on YOUR website!LM= 3x+8 MN= 2x-5 LN= 23 3x+8+2x-5=23 5x=23-8+5 5x=20 x=20/5 x=4 LM=3*4+8=12+8=20 MN=2*4-5=8-5=3 PROOF: 20+3=23 23=23
 Average/261605: Suppose your grades on your first four exams were 84%, 90%, 68%, and 89%. What would be the lowest possible average that your last two exams could have so that your grade in the class, based on the average of the six exams, is at least 78%?1 solutions Answer 192855 by checkley77(12569)   on 2010-01-27 10:49:55 (Show Source): You can put this solution on YOUR website!(84+90+68+89+2X)/6>=78 (331+2X)/6>=78 331+2X>=6*78 331+2X>=468 2X>=468-331 2X>=137 X>=137/2 X>=68.5 OR THE LAST 2 TESTS MUST AVERAGE 68.5 OR GREATER.
 Money_Word_Problems/261635: A sum of \$113,000 is split between two investments, one paying 6% and the other 9%. If the total yearly interest amounted to \$8550, how much was invested at 9%? 1 solutions Answer 192854 by checkley77(12569)   on 2010-01-27 10:43:02 (Show Source): You can put this solution on YOUR website!.09X+.06(113,000-X)=8,550 .09X+6,780-.06X=8,550 .03X=8,550-6,780 .03X=1,770 X=1,770/.03 X=59,000 ANS. FOR THE AMOUNT INVESTED @ 9%. 113,000-59,000=54,000 .09*59,000+.06*54,000=8,550 5,310+3,240=8,550 8,550=8,550
 Linear-equations/261649: give the slope and y-intercept of each line whose equation is given. Then graph the linear function. y=2x+1 1 solutions Answer 192852 by checkley77(12569)   on 2010-01-27 10:37:35 (Show Source): You can put this solution on YOUR website!y=2x+1 SLOPE=2 Y INTERCEPT=1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x +1).
 Length-and-distance/261656: "Jackie who is 1.82 metes tall wants to find the height of a tree in her backyard. From the base of the tree, she walks 12.2 meters until her shadow overlaps the tree's shadow. She is 6.1 meters from the end of the shadows. Make a sketch and find the height of the tree".1 solutions Answer 192851 by checkley77(12569)   on 2010-01-27 10:34:52 (Show Source): You can put this solution on YOUR website!X/1.82=6.1/(6.1+12.2) 6.1X=1.82*18.3 6.1X=33.306 X=33.306/6.1 X=5.46 METERS IS THE HEIGHT OF THE TREE.
 Numbers_Word_Problems/261662: A total of \$20,000 was invested in two bond mutual funds, a junk bond fund and a government bond fund. The junk bond fund is risky and yields 11% interest. The safer government bond fund yields only 5%. The total income for the year from the two investments was \$1300. How much was invested in each fund?1 solutions Answer 192849 by checkley77(12569)   on 2010-01-27 10:24:48 (Show Source): You can put this solution on YOUR website!.11X+.05(20,000-X)=1,300 .11X+1,000-.05X=1,300 .06X=1,300-1,000 .06X=300 X=300/.06 X=5,000 INVESTED @ 11% 20,000-5,000=15,000 INVESTED @ 6% PROOF: .11*5,000+.05*15,000=1,300 550+750=1,300 1,300=1,300
 Travel_Word_Problems/261664: Currently, the two fastest trains are the Japanese Maglev and the French TGV. The sum of their fastest speeds is 718.2 mph. IF the speed of the Maglev is 3.8mph faster thean the speed of TGV, find the speeds of each.1 solutions Answer 192847 by checkley77(12569)   on 2010-01-27 10:19:04 (Show Source): You can put this solution on YOUR website!X+X+3.8=718.2 2X=718.2-3.8 2X=714.4 2X=714.4 X=714.4/2 X=357.2 MPH FOR THE TGV TRAIN. 357.2+3.8=361 MPH. FOR THE MAGLEV TRAIN.
 Functions/261667: Tell whether the ordered pair (2 ,-1/5) is a solution of x + 5y = 41 solutions Answer 192846 by checkley77(12569)   on 2010-01-27 10:15:17 (Show Source): You can put this solution on YOUR website!(2 ,-1/5) is a solution of x + 5y = 4 ? 2+5-1/5=4 2-1=4 1=4 NOT A SOLUTION.
 Complex_Numbers/261683: factor 3x^4 y^2 - 3x^2y^21 solutions Answer 192844 by checkley77(12569)   on 2010-01-27 10:10:44 (Show Source): You can put this solution on YOUR website!3x^4 y^2 - 3x^2 y^2 3X^2Y^2(X^2-1) 3X^2Y^2(X-1)(X+1) ANS.
 Miscellaneous_Word_Problems/261687: A group of 12 girl scouts had enough food to last for 8 days when they arrived in camp. However, 4 more scouts joined them without the amount of food being increased. How long will the food last if each scout is given the same daily ration as originally planned? a) 2 b)3 c) 4 d)5 e)6 1 solutions Answer 192842 by checkley77(12569)   on 2010-01-27 10:08:17 (Show Source): You can put this solution on YOUR website!12*8=96 FOOD DAYS. 96/16=6 DAYS WORTH OF FOOD FOR 16 GIRLS.
 Miscellaneous_Word_Problems/261698: Can anyone help me solve this problem? Tim needed 64 credits to graduate. He has earned 56 credits. What percentate of the credits does he have?1 solutions Answer 192838 by checkley77(12569)   on 2010-01-27 10:03:16 (Show Source): You can put this solution on YOUR website!56/64=.875=87.5% OF THE CREDITS HE HAS.
 Miscellaneous_Word_Problems/261701: Can anyone help me to solve this? Write 7/10% as a fraction.1 solutions Answer 192835 by checkley77(12569)   on 2010-01-27 10:01:39 (Show Source): You can put this solution on YOUR website!Write 7/10% as a fraction. 7/10%=.7%=.007=7/1,00O ANS.
 Miscellaneous_Word_Problems/261709: The perimeter of a rectangle is 48cm. The length is 12 cm longer than the width. Find the dimension1 solutions Answer 192833 by checkley77(12569)   on 2010-01-27 09:51:39 (Show Source): You can put this solution on YOUR website!L=W+12 2L+2W=48 2(W+12)+2W=48 2W+24+2W=48 4W=48-24 4W=24 W=24/4 W=6 ANS. FOR THE WIDTH. L=6+12=18 ANS. FOR THE LENGTH. PROOF: 2*18+2*6=48 36+12=48 48=48
 Miscellaneous_Word_Problems/261710: Chuck and Dana agree to meet in Chicago for the weekend. Chcuk travels 114 miles in the same time that Dana travels 96 miles. If Chuck's rate of travel is 6 mph more than Dana's, then at what rate does Chuck travel?1 solutions Answer 192831 by checkley77(12569)   on 2010-01-27 09:48:03 (Show Source): You can put this solution on YOUR website!D=RT 114=(R+6)T T=114/(R+6) FOR CHUCK'S TRIP. 96=RT T=96/R FOR DANA'S TRIP. SEEING AS THE TIMES ARE THE SAME SET THESE 2 EQUATIONS EQUAL. 114/(R+6)=96/R CROSS MULTIPLY 96(R+6)=114R 96R+576=114R 96R-114R=-576 -18R=-576 R=-576/-18 R=32 MPH. IS DANA'S SPEED. 32+6=38 MPH. IS CHUCK'S SPEED. PROOF: 114/38=96/32 3=3
 Linear-equations/261711: how would you solve xy=31 solutions Answer 192824 by checkley77(12569)   on 2010-01-27 09:35:05 (Show Source): You can put this solution on YOUR website!xy=3 To solve this equation make a table of x * y. x*y=3 ------- 1*3=3 3*1=3 1.5*2=3 2*1.5=3 .3*10=3 10*.3=3 .5*6=3 6*.5=3 1.2*2.5=3 2.5*1.2=3