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# Recent problems solved by 'checkley71'

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 Linear-equations/120778: pls help A slope passing through (9,15) and (2,y) is parallel to a line with slope 2. What is the value of y?1 solutions Answer 88579 by checkley71(8403)   on 2008-01-17 10:54:04 (Show Source): You can put this solution on YOUR website!SLOPE=(Y-15)/(2-9)=2 CROSS MULTIPLY 2*-7=Y-15 -14=Y-15 Y=-14+15 Y=1 ANSWER. (9,15)(2,1) PROOF (1-15)/2-9)=2 -14/-7=2 2=2
 Expressions-with-variables/120792: FInd the constant term that should be added to make the following expression a perfect square trinomail. x^2+ 20x Thanks1 solutions Answer 88574 by checkley71(8403)   on 2008-01-17 10:02:26 (Show Source): You can put this solution on YOUR website!X^2+20X+100 (X+10)^2 ANSWER.
 Polynomials-and-rational-expressions/120765: This question is from textbook College Algebra I have tried to figure out this equation, can you help me please? Find all values of x such that y=0 y= 1/5x+5 - 3/x+1 + 7/51 solutions Answer 88572 by checkley71(8403)   on 2008-01-17 09:59:16 (Show Source): You can put this solution on YOUR website!0=1/(5X+5)-3/(X+1)+7/5 0=[5(X+1)-3*5(5X+5)+7(5X+5)(X+1)]/[5(5X+5)(X+1)] CROSS MULTIPLYING ELIMINATES THE DENOMINATOR. THUS WE HAVE: (5X+5)-15(5X+5)+7(5X^2+10X+5)=0 5X+5-75X-75+35X^2+70X+35=0 35X^2+35=0 35(X^2+1)=0 X^2+1=0 USING THE QUADRATIC EQUATION: X=(0+-SQRT0^2-4*1*1)/2 X=(+-SQRT-4)/2 X=(+-2i)/2 X=0+-1i ANSWER.
 Equations/120786: In excercises 34-36,use the spinner to find the probability. The spinner is divided into equal parts.The spinner numbers are 1-12 in a circle If you spin the spiner 100 times, how many times do you expect it to stop on a number less than 10? Any help with this equation would be Greatly appreciated.1 solutions Answer 88565 by checkley71(8403)   on 2008-01-17 09:43:43 (Show Source): You can put this solution on YOUR website!NUMBERS 1 TO 9 MAKE UP 9/12 OF THE TOTAL AREA THEREFORE 9/12=.75 OR COVER 75 % OF THE CHANCES. 100*.75=75 CHANCES OUT OF 100 SHOULD BE EXPECTED TO LAND ON A NUMBER<10.
 Radicals/120773: sqrt75a^2/sqrt31 solutions Answer 88564 by checkley71(8403)   on 2008-01-17 09:40:48 (Show Source): You can put this solution on YOUR website!SQRT(75A^2/3) 5ASQRT(3/3) 5ASQRT1 5A
 Equations/120785: In excercises 34-36,use the spinner to find the probability. The spinner is divided into equal parts.The spinner numbers are 1-12 in a circle 35. What are the odds in favor of stopping on a multiple of 3? Any help with this equation would be Greatly appreciated.1 solutions Answer 88561 by checkley71(8403)   on 2008-01-17 09:37:41 (Show Source): You can put this solution on YOUR website!SEEING AS EACH NUMBER HAS THE PROBABILITY OF 1/12 OR 8.333%. AND YOU HAVE 3,6,9,&12 ARE THE NUMBERS OF INTEREST. WE HAVE 4*.08333=.33333 OR 33.33% OR 1/3 CHANCE OF LANDING ON A NMUMBER THAT IS A MULTIPLE OF 3.
 Surface-area/120784: How do you do surface area if you have a cylinder? How do you do surface area if you have a rectangle? Can someone show me some examples? THANKS A LOT!!!1 solutions Answer 88559 by checkley71(8403)   on 2008-01-17 09:34:12 (Show Source): You can put this solution on YOUR website!SURFACE AREA OF A CYLINDER=C*H WHERE C=THE CIRCIMFERANCE OF THE BASE & H=HEIGHT. SURFACE AREA OF A RECTANGLE=B1*B2*H WHERE B1=ONE OF THE BASE MEASUREMENTS, B2= THE OTHER BASE MEASUREMENT & H=HEIGHT.
 Angles/120781: what is the difference between a suplimmmentary angle and a complimentary angle?1 solutions Answer 88551 by checkley71(8403)   on 2008-01-17 09:12:37 (Show Source): You can put this solution on YOUR website!COMPLEMENTARY ANGLES ADD UP TO 90 DEGREEES. SUPLIMENTARY ANGLES ADD UP TO 180 DEGREES.
 Exponents/120576: m^0 n^91 solutions Answer 88418 by checkley71(8403)   on 2008-01-16 16:59:31 (Show Source): You can put this solution on YOUR website!m^0n^9=n^9 (any number raised to the zero power=1)
 Money_Word_Problems/120594: 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?1 solutions Answer 88411 by checkley71(8403)   on 2008-01-16 16:39:50 (Show Source): You can put this solution on YOUR website!2*2*17 ARE ALL THE FACTORS OF 68.
 Divisibility_and_Prime_Numbers/120596: what is the prime factorization for 68? and the factor tree.1 solutions Answer 88409 by checkley71(8403)   on 2008-01-16 16:38:28 (Show Source): You can put this solution on YOUR website!2*2*17 ARE ALL THE FACTORS OF 68.
 Money_Word_Problems/120595: 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?1 solutions Answer 88408 by checkley71(8403)   on 2008-01-16 16:36:27 (Show Source): You can put this solution on YOUR website!45/1500=X/2000 CROSS MULTIPLY 1500X=45*2000 1500X=90,000 X=90,000/1500 X=60 ANSWER FOR THE AMOUNT OF INTEREST ON THE 2000 INVESTMENT.
 Linear_Algebra/120593: how will i solve 9/2h=-1 1 solutions Answer 88406 by checkley71(8403)   on 2008-01-16 16:33:31 (Show Source): You can put this solution on YOUR website!9H/2=-1 CROSS MULTIPLY. 9H=-1*2 9H=-2 H=-2/9 ANSWER.
 Linear-equations/120591: Write the equation of the line L satisfying the given geometric conditions L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6. 1 solutions Answer 88404 by checkley71(8403)   on 2008-01-16 16:31:14 (Show Source): You can put this solution on YOUR website!2X-3Y=6 OR -3Y=-2X+6 OR Y=-2X/-3+6/-3 OR Y=2X/3-2 (RED LINE) THE OPERPENDICULAR LINE PASSING THROUGH (0,2) HAS A SLOPE=-3/2 [NEGATIVE RECIPRICAL OF THE RED LINE] 2=-3/2*0+b 2=b WHICH IS THE Y INTERCEPT Y=-3X/2+2 IS THIS LINE EQUATION (GREEN LINE) (graph 300x300 pixels, x from -6 to 5, y from -6 to 10, of TWO functions y = 2x/3 -2 and y = -3x/2 +2).
 Linear_Algebra/120590: how will i solve 6m-3=211 solutions Answer 88398 by checkley71(8403)   on 2008-01-16 16:15:06 (Show Source): You can put this solution on YOUR website!6m-3=21 6m=21+3 6m=24 m=24/6 m=4 answer. proof 6*4-3=21 21=21
 Equations/120487: How would I solve for X in this equation: 1000/X=5.26 1 solutions Answer 88307 by checkley71(8403)   on 2008-01-16 08:47:02 (Show Source): You can put this solution on YOUR website!1000/x=5.26 cross multiply. 5.26x=1000 x=1000/5.26 x=190.114 answer.
 Triangles/120481: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region. 1 solutions Answer 88306 by checkley71(8403)   on 2008-01-16 08:44:59 (Show Source): You can put this solution on YOUR website!x+x/2+x-3=37 x+.5x+x=37+3 2.5x=40 x=40/2.5 x=16 is the length of the first side. 16/2=8 for the second side. 16-3=13 for the third side. poof: 16+8+13=37 37=37
 Quadratic_Equations/120150: What would be the nature of the roots of the quadratic equation x(x-1)-3=5x?1 solutions Answer 88215 by checkley71(8403)   on 2008-01-15 17:19:47 (Show Source): You can put this solution on YOUR website!THESE ROOTS ARE REAL & UNEQUAL. ------------------------------------------- X(X-1)-3=5X X^2-X-3-5X=0 X^2-6X-3=0 USING THE QUADRATIC EQUATION: X=(6+-SQRT[-6^2-4*1*-3])/2*1 X=(6+-SQRT[36+12])/2 X=(6+-SQRT48)/2 X=(6+-6.928) /2 X=(6+6.928)/2 X=12.928/2 X=6.46 ANSWER. X=(6-6.928)/2 X=-.928/2 X=-.46 ANSWER.
 Finance/120322: Wilma wants to have \$2,000,000.00 when she retires in 45 years. Assuming that she can average 4.5% return anually in treasury bills, then how much must she invest now in treasury bills to achieve her goal? This is how I worked it: 0.045X x 45 = 2,000,000 0.045X = 44444.44 X = 987653.331 solutions Answer 88211 by checkley71(8403)   on 2008-01-15 17:10:54 (Show Source): You can put this solution on YOUR website!X(1.045)^45=2,000,000 7.248X=2,000,000 X=2,000,000/7.248 X=275,938.19 AMOUNT TO BE INVESTED NOW.
 Rectangles/120327: the width of a rectangular card is 8cm less than the length. If the width is 12cm, what is the length?1 solutions Answer 88209 by checkley71(8403)   on 2008-01-15 16:58:27 (Show Source): You can put this solution on YOUR website!SORRY I MISREAD THE FIGURE 8 & TOOK IT FOR A 6. IF THE WIDTH IS 12 AND THE LENGTH IS 20 THEN THE WIDTH(12) IS 8 LESS THAN THE LENGTH(18) OR 20-8=12 --------------------------------------------- 12+8=20CM FOR THE LENGTH IS THE CORRECT ANSWER.
 percentage/120328: The radius of a circular mirror is 42 centimeters. Estimate the circumference of the mirror. C= 2pi r1 solutions Answer 88208 by checkley71(8403)   on 2008-01-15 16:55:41 (Show Source): You can put this solution on YOUR website!C=2*3.14*42 C=264 CM.
 Miscellaneous_Word_Problems/120338: Melissa wants to have concrete driveway in front of her house. The driveway will measure 62 1/3 feet long and 19 feet wide; and will be 2/3 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard. [1 cubic yd = 27 cubic feet]1 solutions Answer 88207 by checkley71(8403)   on 2008-01-15 16:53:21 (Show Source): You can put this solution on YOUR website!62.333*19*.6667=789.59 CUBIC FEET 789.59/27=29 CUBIC YARDS ARE NEEDED.
 Miscellaneous_Word_Problems/120337: Sam needs to get carpet for two rooms of his house. Estimate the number of square feet (square footage) in the two rooms if one room measures 10 1/2 feet by 9 3/4 feet; and the other room measures 19 1/4 feet by 18 1/2 feet.1 solutions Answer 88206 by checkley71(8403)   on 2008-01-15 16:50:16 (Show Source): You can put this solution on YOUR website!10.5*9.75=102.375 SQ FEET. 19.25*18.5=356.125 SQ FEET. 102.375+356.125=458.5 TOTAL SQ FEET OF CARPET IS NEEDED.
 Linear-systems/120332: This question is from textbook USE THE SUBSTITUTION METHOD OR LINEAR COMBINATION TO SOLVE THE LINEAR SYSTEM AND TELL HOW MANY SOLUTIONS THE SYSTEM HAS. THEN DESCRIBE THE GRAPH OF THE SYSTEM. 24) -7X+7Y=7 2X-2Y=-18 25)2X+4Y=-8 2X+2Y=-4 26)2X+Y=-4 4X-2Y=81 solutions Answer 88203 by checkley71(8403)   on 2008-01-15 16:46:44 (Show Source): You can put this solution on YOUR website!24) -7X+7Y=7 OR 7Y=7X+7 OR Y=7X/7+7/7 OR Y=X+1 (RED LINE) 2X-2Y=-18 OR -2Y=-2X-18 OR Y=-2X/-2-18/-2 OR Y=X+9 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x +1 and y = x +9). ZERO SOLUTIONS 25) 2x+4y=-8 or 4y=-2x-8 or y=-2x/4-8/4 or y=-x/2-2 (red line) 2x+2y=-4 or 2y=-2x-4 or y=-2x/2-4/2 or y=x-2(green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/2 -2 and y = x -2). SOLUTION(0,-2) 26) 2x+y=-4 or y=-2x-4 (red line) 4x-2y=8 or -2y=-4x+8 or y=-4x/-2+8/-2 or y=2x-4(green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -2x -4 and y = 2x -4). SOLUTION(0,-4)
 Travel_Word_Problems/120329: This question is from textbook elementary and imtermediate algebra Leon drove 270 miles to the lodge in the same time as pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?1 solutions Answer 88200 by checkley71(8403)   on 2008-01-15 16:28:44 (Show Source): You can put this solution on YOUR website!270/X=330/(X+10) CROSS MULTIPLY 330X=270X+2700 330X-270X=2700 60X=2700 X=2700/60 X=45 MPH FOR LEON'S SPEED 45+10=55 MPH FOR PAT'S SPEED. PROOF 270/45=330/55 6=6
 Travel_Word_Problems/120330: This question is from textbook elementary and imtermediate algebra The student teacher ratio for Washington High was reported to be 27.5 to 1. If there are 42 teachers, then how many students are there?1 solutions Answer 88199 by checkley71(8403)   on 2008-01-15 16:24:43 (Show Source): You can put this solution on YOUR website!27.5/1=X/42 CROSS MULTIPLY X=27.5*42 X=1155 IS THE NUMBER OF STUDENTS. PROOF 1155/42=27.5 WHICH IS ALSO THE RATIO OF STUDENTS TO TEACHER.
 Surface-area/120325: Find the surface area of a cylinder with diameter of 10cm and a height of 32cm.1 solutions Answer 88198 by checkley71(8403)   on 2008-01-15 16:20:09 (Show Source): You can put this solution on YOUR website!IF YOU'RE LOOKING FOR THE LATERAL SURFACE AREA THEN: PI*D*H=LSA 3.14*10*32=LSA 1,004.8=LSA. ANSWER.
 Polynomials-and-rational-expressions/120321: Henry invested \$12,000 in a new restaurant. When the restaurant was sold two years later, he received \$27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,0001 solutions Answer 88197 by checkley71(8403)   on 2008-01-15 16:10:53 (Show Source): You can put this solution on YOUR website!12,000(1+r)^2=27,000 12,000(1+2r+r^2)=27,000 12,000+24,000r+12,000r^2-27,000=0 12,000r^2+24,000r-15,000=0 3,000(4r^2+8r-5)=0 3,000(2r-1)(2r+5)=0 2r-1=0 2r=1 r=1/2 or .5 or 50% annual return on investment. proof 12,000(1+.5)^2=27,000 12,000(1.5)^2=27,000 12,000*2.25=27,000 27,000=27,000
 Percentage-and-ratio-word-problems/120319: Nadia can pick 30 containers of wild bluebaerries in 5 hr. At this rate how many containers can she pick in 8hrs. Thank you1 solutions Answer 88192 by checkley71(8403)   on 2008-01-15 15:57:10 (Show Source): You can put this solution on YOUR website!30/5=X/8 CROSS MULTIPLY. 5X=240 X=240/5 X=48 CONTAINERS NADIA CAN PICK IN 8 HOURS.
 Miscellaneous_Word_Problems/120313: Here is the question in its exact words, There are a different number of bicycles, tandem bicycles, and tricycles in the Wheel Shop. There are a total of 135 seats, 118 front handle bars (that steer the bike), and 269 wheels. How many are bicycles, tandem bicycles, and tricycles are there in the Wheel Shop? (Hint: A tandem bike has two seats. Bicycles and tricycles have one seat. All of the cycles have one set of front handle bars that steer the bike. A bicycle and tandem bike have two wheels. A tricycle has three wheels.). Please try to solve this as soon as possible, Thank You1 solutions Answer 88191 by checkley71(8403)   on 2008-01-15 15:52:46 (Show Source): You can put this solution on YOUR website!135=1T+1B+2TB -(118=T+B+TB) NOW SUBTRACT EQUATION 2 FROM EQAUTION 1. ---------------------------- 17=TB IS THE NUMBER OF TANDEM BIKES. 269=3T+2B+2*17 269=3T+2B+34 269-34=3T+2B 235=3T+2B NUMBER OF WHEELS. 118=T+B+17 118-17=T+B 101=T+B NUMBER OF HANDLE BARS. NOW MULTIPLY THIS EQUATION BY -2 AND ADD TO THE WHEEL EQUATION: 235=3T+2B -202=-2T-2B ------------------ 33=T OR THE NUMBER OF TRICYCLES. 118=33+B+17 118-33-17=B 68=B OF THE NUMBER OF BIKES. PROOF 269=3*33+2*68+2*17 269=99+136+34 269=269
 Polynomials-and-rational-expressions/120314: One side of a rectangular stage is 2meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?1 solutions Answer 88188 by checkley71(8403)   on 2008-01-15 15:27:59 (Show Source): You can put this solution on YOUR website!X^2+(X+2)^2=10^2 X^2+X^2+4X+4=100 2X^2+4X+4-100=0 2X^2+4X-96=0 2(X^2+2X-48)=0 2(X+8)(X-6)=0 X+8=0 X=-8 ANSWER. X-6=0 X=6 ANSWER.