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# Recent problems solved by 'checkley71'

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 Linear-equations/130780: produce graph for given equation: x/3+y/4=1 determine intercepts1 solutions Answer 95484 by checkley71(8403)   on 2008-03-06 16:51:27 (Show Source): You can put this solution on YOUR website!X/3+Y/4=1 Y/4=-X/3+1 Y=4(-X/3+1) Y=-4X/3+4 (graph 300x200 pixels, x from -16 to 15, y from -10 to 10, -4x/3 +4).
 Radicals/130787: 3y sqrt 4y^2- sqrt 16y^4+ sqrt18y^3 =3 sqrt2-4y sqrt3 I think I got this one right!!!1 solutions Answer 95482 by checkley71(8403)   on 2008-03-06 16:39:05 (Show Source): You can put this solution on YOUR website!3YSQRT(4Y^2)-SQRT(16Y^4)+SQRT(18Y^3) 3*2Y-4Y^2+(3Y)SQRT(2Y) 6Y-4Y^2+(3Y)SQRT(2Y) Y(6-4Y+3SQRT2Y) ANSWER.
 Graphs/130583: I need help solving this problem. It is 9-6=8-1(9+a)1 solutions Answer 95386 by checkley71(8403)   on 2008-03-05 17:53:51 (Show Source): You can put this solution on YOUR website!9-6=8-1(9-A) 3=8-9+A 3=-1+A A=3+1 A=4 ANSWER. PROOF: 9-6=8-(9-4) 3=8-5 3=3
 decimal-numbers/130591: 4 is what percent of 50?1 solutions Answer 95385 by checkley71(8403)   on 2008-03-05 17:50:34 (Show Source): You can put this solution on YOUR website!4/50=.08 OR 8%
 Quadratic_Equations/130592: This question is from textbook the sum of two numbers is 12. three times the product of the numbers is 105. what re the twoo numbers? 1 solutions Answer 95383 by checkley71(8403)   on 2008-03-05 17:49:09 (Show Source): You can put this solution on YOUR website!X+Y=12 OR X=12-Y 3XY=105 3(12-Y)Y=105 36Y-3Y^2=105 -3Y^2+36Y-105=0 -3(Y^2-12Y+35)=0 (X-5)(X-7)=0 Y-5=0 Y=5 ANSWER. Y-7=0 Y=7 ANSWER.
 logarithm/130464: When Jim was born in 1992, his aunt put \$1000 in a trust fund having a guaranteed annual interest rate of 6.4%. In 2010, Jim's tuition is expected to be \$3500. Write the function that represents the value of this trust over time and use it to determine whether there will be enough money in the trust fund to pay the tuition.1 solutions Answer 95382 by checkley71(8403)   on 2008-03-05 17:39:49 (Show Source): You can put this solution on YOUR website!1000(1+.064)^18 1000(1.064)^18 1000*3.05456=\$3,054.56 for the amount of the investment. Short of the \$3,500 needed for the tuition.
 Graphs/130465: This question is from textbook maththematics page 197 #9 y=0.75x - 101 solutions Answer 95381 by checkley71(8403)   on 2008-03-05 17:33:49 (Show Source): You can put this solution on YOUR website!y=.75x-10 (graph 300x200 pixels, x from -6 to 25, y from -10 to 10, .75x -10).
 Inequalities/130477: This question is from textbook what is 4x-9>-71 solutions Answer 95379 by checkley71(8403)   on 2008-03-05 17:30:04 (Show Source): You can put this solution on YOUR website!4x-9>-7 4x>-7+9 4x>2 x>2/4 x>1/2 0r x>.5 proof: let x=.51 4*.51-9>-7 2.04-9>-7 -6.96>-7
 Probability-and-statistics/130586: The daily double at most race tracks consists of selecting the winning horse in both the first and second races. If the first race has 8 entries and the second race has 9 entries, how many daily double tickets must be purchased to guarantee a win?1 solutions Answer 95377 by checkley71(8403)   on 2008-03-05 17:25:16 (Show Source): You can put this solution on YOUR website!8*9=72 tickets must be bought to have a guaranteed winner.
 Quadratic_Equations/130485: and this problem also. Thank you so much.. f(x)=2x^2-8x+3 What is the vertex1 solutions Answer 95374 by checkley71(8403)   on 2008-03-05 17:00:51 (Show Source): You can put this solution on YOUR website!F(X)=2X^2-8X+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2 -8x +3).
 Exponents/130541: (3x+2)exponent4 1 solutions Answer 95373 by checkley71(8403)   on 2008-03-05 16:55:21 (Show Source): You can put this solution on YOUR website!3X+2 3X+2 NOW MULTIPLY -------------------------------- 9X^2+12X+4 9X^2+12X+4 NOW MULTIPLY --------------------------------------- 81X^4+108X^3+36X^2+108X^3+144X^2+48X+36X^2+48X+16 81X^4+216X^3+216X^2+96X+16 ANSWER.
 Travel_Word_Problems/130554: A truck can travel 150 miles in the same time that it takes a car to travel 200 miles. If the truck's rate is 10 miles per hour slower than the car's, find the average rate for each. 1 solutions Answer 95372 by checkley71(8403)   on 2008-03-05 16:49:22 (Show Source): You can put this solution on YOUR website!150/X=200/(X+10) NOW CROSS MULTIPLY. 200X=150(X+10) 200X=150X+1,500 200X-150X=1,500 50X=1,500 X=1,500/50 X=30 MPH FOR THE TRUCK. 30+10=40 MPH FOR THE CAR. PROOF: 150/30=200/40 5=5
 Travel_Word_Problems/130558: The rate of the jet stream is 100 miles per hour. Traveling with the jet stream, an airplane can fly 3600 miles in the same amount of time as it takes to fly 2400 miles against the jet stream. What is the airplane's average rate in calm air?1 solutions Answer 95371 by checkley71(8403)   on 2008-03-05 16:44:44 (Show Source): You can put this solution on YOUR website!3,600/(X+100)=2,400/(X-100) CROSS MULTIPLY. 2,400(X+100)=3,600(X-100) 2,400X+240,000=3,600X-360,000 1,200X-3,600X=-360,000-240,000 -1,200X=-600,000 X=-600,000/-1,200 X=500 MPH FOR THE JET IN STILL AIR. PROOF: 3,600/600=2,400/400 6=6
 Rectangles/130560: the perimeter og a rectangle is 40m. the length of the rectangle is 4m less than twice the width. find the length1 solutions Answer 95370 by checkley71(8403)   on 2008-03-05 16:35:35 (Show Source): You can put this solution on YOUR website!L=2W-4 2W+2(2W-4)=40 2W+4W-8=40 6W=40+8 6W=48 W=48/6 W=8 FOR THE WIDTH. L=2*8-4=16-4=12 FOR THE LENGTH. PROOF 2*8+2*12=40 16+24=40 40=40
 Linear-equations/130564: nx+12=3y what is n if the slope is 41 solutions Answer 95369 by checkley71(8403)   on 2008-03-05 16:31:30 (Show Source): You can put this solution on YOUR website!NX+12=3Y 3Y=NX+12 Y=NX/3+12 FOR THE SLOPE TO BE = TO 4 THEN N/3=4 OR N=12. Y=12X/3+12 Y=4X+12
 Expressions-with-variables/130578: Millie is 2/3 as old as maude. Six years from now millie will be 5/7 as old as maude will be. How old is each?1 solutions Answer 95368 by checkley71(8403)   on 2008-03-05 16:26:49 (Show Source): You can put this solution on YOUR website!MILLIE=2X/3 NOW. MAUDE=X NOW. IN 6 YEARS: (2X/3)+6=5/7(X+6) 2X/3+6=(5X+30)/7 CROSS MULTIPLY 5X+30=7(2X/3+6) 5X+30=14X/3+42 5X+30=(14X+3*42)/3 5X+30=(14X+126)/3 CROSS MULTIPLY 3(5X+30)=14X+126 15X-14X=126-90 X=36 MAUDE'S AGE NOW. 2*36/3=72/3=24 MILLIE'S AGE NOW. PROOF 24+6=(5/7)(36+6) 30=(5*42/7) 30=210/7 30=30
 Word_Problems_With_Coins/130567: A deal has two kinds of mets; one costs 90 cents a pound, the other 60 cents a pound. He wishes to make 50 pounds of a mixture that will cost 72 cents a pound. How many pounds of each kind should he use?1 solutions Answer 95367 by checkley71(8403)   on 2008-03-05 15:57:04 (Show Source): You can put this solution on YOUR website!.90X+.60(50-X)=.72*50 .90X+30-.60X=36 .30X=36-30 .30X=6 X=6/.30 X=20 AMOUNT OF \$.90 MEAT. 50-20=30 AMOUNR OF \$.60 MEAT. PROOF: .90*20+.60*30=36 18+18=36 36=36
 Miscellaneous_Word_Problems/130570: The width of a rectangle is 12 units less than its length. If you add 30 units to both the length and width, you double the perimeter. Find the length and width of the original rectangle.1 solutions Answer 95365 by checkley71(8403)   on 2008-03-05 15:45:02 (Show Source): You can put this solution on YOUR website!W=L-12 OR 2(L-12)+2L=P OR 2L-24+2L=P OR 4L-24=P ORIGINAL PERIMETER. 2(L-12+30)+2(L+30)=2P OR 2L+36+2L+60=2P OR 4L+96=2P DOUBLED PERIMETER. NOW MULTIPLY THE FIRST EQUATION BY 2 & SET THEM EQUAL. 2(4L-24)=4L+96 8L-48=4L+96 8L-4L=96+48 4L=144 L=144/4 L=36 IS THE ORIGINAL LENGTH. W=36-12 W=24 FOR THE ORIGINAL WIDTH. PROOF 2*24+2*36=48+72=120 2(24+30)+2(36+30)=2*54+2*66=108+132=240 240=2*120 240=240
 Travel_Word_Problems/130553: A steamboat travels 8 km/h faster than a freighter. The steamboat travels 88 km in the same time the freighter travels 53 km. Find the speed of the steamboat.1 solutions Answer 95348 by checkley71(8403)   on 2008-03-05 11:27:09 (Show Source): You can put this solution on YOUR website!SEEING AS THE TIMES ARE EQUAL WE HAVE: 88/(R+8)=53/R 88R=53(R+8) 88R=53R+424 88R-53R=424 35R=424 R=424/35 R=12.1 SPEED FOR THE FREIGHTER. 12.1+8=20.1 SPEED FOR THE STEAMBOAT. PROOF 88/20.1=53/12.1 4.38=4.38
 Probability-and-statistics/130552: this should be simple, but I can't get it (Algebra II): Ashley's new CD player can hold 3 CDs at one time. She has 12 CDs. In how many ways can she choose 3 CDs to play?1 solutions Answer 95347 by checkley71(8403)   on 2008-03-05 11:18:58 (Show Source): You can put this solution on YOUR website!YOUR FIRST CHOICE CAN BE ANY ONE OF 12 THE SECOND CHOICE CAN BE ANY ONE OF 11 THE THIRD CHOICE CAN BE ANY ONE OF 10. THUS YOU HAVE 12*11*10=1,320 CHOICES. OR 12P3.
 Human-and-algebraic-language/130542: Find the polynomial that represents the volume of the rectanglar solid. (x+2)(x+4)(x-5)1 solutions Answer 95346 by checkley71(8403)   on 2008-03-05 11:16:06 (Show Source): You can put this solution on YOUR website!X+2 X+4 NOW MULTIPLY. -------------------- X^2+2X+4X+8 X^2+6X+8 X-5 NOW MULTIPLY ---------------------- X^3+6X^2+8X-5X^2-30X-40 X^3+X^2-22X-40 ANSWER.
 Money_Word_Problems/130551: This question is from textbook algebra Please help me!The problem is: An investment of \$1500 paid interest of \$45 during a certain period. How much interest would an investment of \$2000 invested at the same rate for the same length of time pay? Please and Thank you=) 1 solutions Answer 95345 by checkley71(8403)   on 2008-03-05 11:11:18 (Show Source): You can put this solution on YOUR website!45/1500=X/2,000 1,500X=45*2,000 1,500X=90,000 X=90,000/1,500 X=\$60 IS THE INTEREST PAYED ON THE \$2000 INVESTMENT @ THE SAME RATE.
 Money_Word_Problems/130546: This question is from textbook algebra Hey everyone! So this problem was a little tricky for me, the problem is: The amount of money that a salesperson makes varies directly as the total amount of sales made. If the salesperson recieves \$7,500 for selling a house for \$120,000, how much will he or she make if he or she sells a house for 150,000? Than it also says to cheack the problem, please help me, and Thank you=)1 solutions Answer 95344 by checkley71(8403)   on 2008-03-05 11:08:07 (Show Source): You can put this solution on YOUR website!7,500/120,000=X/150,000 120,000X=7,500*150,000 120,000X=1,125,000,000 X=112,500,000/120,000 X=\$9375 COMMISION ON THE SALE OF \$150,000.
 Square-cubic-other-roots/130548: This question is from textbook algebra I didn't understand this one either, it asks: One eighth of the square root of 7 less than a number is 2. What is the number? Please and THank You=)1 solutions Answer 95342 by checkley71(8403)   on 2008-03-05 11:02:31 (Show Source): You can put this solution on YOUR website!1/8*SQRT(X-7)=2 NOW SQUARE BOTH SIDES. 1/64(X-7)=4 (X-7)/64=4 CROSS MULTIPLY. X-7=256 X=256+7 X=263 ANSWER. PROOF: 1/8*SQRT(263-7)=2 1/8*SQRT*256=2 1/8*16=2 16/8=2 2=2
 Equations/130549: This question is from textbook 6m-2=m+-1161 solutions Answer 95340 by checkley71(8403)   on 2008-03-05 10:52:57 (Show Source): You can put this solution on YOUR website!6M-2=M+-116. IS IT + OR - 116????? 5M=+116+2 5M=118 M=118/5 ANSWER. 5M=-116+2 5M=-114 M=-114/5 ANSWER.
 Numbers_Word_Problems/130543: The sum of the squares of two consecutive odd integers is 34. Find the two integers.1 solutions Answer 95338 by checkley71(8403)   on 2008-03-05 10:49:46 (Show Source): You can put this solution on YOUR website!x^2+(x+2)^2=34 x^2+x^2+4x+4=34 2x^2+4x+4-34=0 2x^2+4x-30 2(x^2+2x-15)=0 2(x+5)(x-3)=0 x+5=0 x=-5 answer. x-3=0 x=3 answer. thus the answers are (3,-3,5&-5)
 Travel_Word_Problems/130540: Ona canoe trip down the Spoon River, Jim is able to travel 10 miles downstream with the current in 2.5 hours. On the return trip upstream back to where his truck is parked, it takes Jim 3.5 hours How fast is Jim's canoe traveling, and how fast is the current on the river at that day?1 solutions Answer 95334 by checkley71(8403)   on 2008-03-05 09:36:52 (Show Source): You can put this solution on YOUR website!10/2.5=R1 10/3.5=R2 R1=4 MPH WITH THE CURRENT R2=2.857 MPH AGAINST THE CURRENT 4-2.857=1.14/2=.57 MPH FOR THE CURRENT. PROOF 4-.57=2.857+.57 3.43=3.43
 Money_Word_Problems/130518: A man made a deposit of P1060. iF HIS DEPOSIT CONSISTED OF 42 BILLS, SOME 10PESO BILLS AND THE REST 50 PESO BILLS, HOW MANY OF BILLS OF EACH KIND DID HE HAVE?1 solutions Answer 95333 by checkley71(8403)   on 2008-03-05 09:16:10 (Show Source): You can put this solution on YOUR website!T+F=42 OR T=42-F 10T+50F=1060 10(42-F)+50F=1060 420-10F+50F=1060 40F=1060-420 40F=640 F=640/40 F=16 NUMBER OF 50 PESO BILLS. 42-16=26 NUMBER OF 10 PESO BILLS. PROOF 10*26+50*16=1060 260+ 800=1060 1060=1060
 Numbers_Word_Problems/130539: The sum of the squares of two consecutive odd integers is 34. Find the two integers.1 solutions Answer 95332 by checkley71(8403)   on 2008-03-05 09:04:02 (Show Source): You can put this solution on YOUR website!X^2+(X+2)^2=34 X^2+X^2+4X+4=34 2X^2+4X+4-34=0 2X^2+4X-30=0 2(X^2+2X-15)=0 2(X+5)(X-3)=0 X+5=0 X=-5 ANSWER. X-3=0 X=3 ANSWER. THEREFORE THE NUMBERS ARE (-3,3 & -5,5)
 Money_Word_Problems/130458: This question is from textbook algebra ( the classic) Laura invested \$2000, some at 8%,annual simple interestand the rest at 10% annual simple interest, giving her a total of \$176 per year. How much did she invest at 8%?1 solutions Answer 95286 by checkley71(8403)   on 2008-03-04 19:36:56 (Show Source): You can put this solution on YOUR website!.08X+.10(2000-X)=176 .08X+200-.10X=176 -.02X=176-200 -.02X=-24 X=-24/.02 X=1200 AMOUNT INVESTED @ 8% 2000-1200=800 INVESTED @ 10% PROOF: .08*1200+.10*800=176 96+80=176 176=176
 Coordinate-system/130447: how would i graph y=3x and y=x-4?1 solutions Answer 95284 by checkley71(8403)   on 2008-03-04 19:32:59 (Show Source): You can put this solution on YOUR website!Y=3X (RED LINE) Y=X-4 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x and x-4). ------------------------------------------------------------- SOLUTION=(-2,-6)