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# Recent problems solved by 'checkley71'

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 Exponents/108102: new to this completely.-3/4t=-7/8?1 solutions Answer 78741 by checkley71(8403)   on 2007-11-04 22:01:47 (Show Source): You can put this solution on YOUR website!-3/4T=-7/8 DIVIDE BOTH SIDES BY -3/4 T=(-7/8)/(-3/4) NOW INVERT THE DENOMINATOR & MULTIPLY THESE FRACTIONS. T=(-7/8*-4/3) T=28/24 T=7/6 ANSWER.
 Quadratic_Equations/108099: 0=x^2=x-201 solutions Answer 78740 by checkley71(8403)   on 2007-11-04 21:58:00 (Show Source): You can put this solution on YOUR website!X^2+X-20=0 X=(-1+-SQRT[1^2-4*1*-20])/2*1 X=(-1+-SQRT[1+80])/2 X=(-1+-SQRT81])/2 X=(-1+9)/2 X=8/2 X=4 ANSWER. X=(-1-9)/2 X=-10/2 X=-5 ANSWER
 Quadratic_Equations/108100: use quadratic formula to solve equation 0=x^2+x-201 solutions Answer 78739 by checkley71(8403)   on 2007-11-04 21:56:28 (Show Source): You can put this solution on YOUR website!X^2+X-20=0 X=(-1+-SQRT[1^2-4*1*-20])/281 X=(-1+-SQRT[1+80])/2 X=(-1+-SQRT81])/2 X=(-1+9)/2 X=8/2 X=4 ANSWER. X=(-1-9)/2 X=-10/2 X=-5 ANSWER.
 Travel_Word_Problems/108101: A BICYCLIST RODE INTO THE COUNTRY FOR 5 HRS. IN RETURNING, HER SPEED WAS 5 M/H FASTER AND THE TRIP TOOK 4 HOURS. WHAT WAS HER SPEED EACH WAY? Thanks JMS1 solutions Answer 78737 by checkley71(8403)   on 2007-11-04 21:50:48 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE*TIME SEEING AS THE DISTANCES ARE THE SAME WE HAVE THE EQUATION 5*R=4(R+5) 5R=4R+20 5R-4R=20 R=20 MPH HER SPEED GOING PROOF 5*20=4(25) 100=100
 Matrices-and-determiminant/108090: i need to solve this system using an augmented matrix and i don't know how colud someone please help me. 5x+2y=2 3x-y=-121 solutions Answer 78736 by checkley71(8403)   on 2007-11-04 21:47:27 (Show Source): You can put this solution on YOUR website!AN AUGMENTED MATRIX IS A STANDARD MATRIX WITH THE NUMERIC VALUES ADDED THUS 5,2 3-1 BECOMES: 5,2,2 3,-1,-12 NOW MULTIPLY THE SECOND ENTRY BY 2 & ADD THE 2 ROWS 5,2,2 6,-2,-24 ---------------- 11,0,-22 OR 11X=-22 X=-22/11 X=-2 ANSWER. 5*-2+2Y=2 -10+2Y=2 2Y=2+10 2Y=12 Y=12/2 Y=6 ANSWER. PROOF 3*-2-6=-12 -6-6=-12 -12=-12
 Trigonometry-basics/108087: 17 11/12 diveded by 6 1/10 = HELP PLEASE1 solutions Answer 78734 by checkley71(8403)   on 2007-11-04 21:28:01 (Show Source): You can put this solution on YOUR website!FIRST WE NEED TO CHANGE THE MIXED FRACTION TO AN IMPROPER FRACTION. (17 11/12=(12*17+11)/12=215/12 NOW CHANGE THE OTHER FRACTION ALSO 6 1/10=(10*6+1)/10=61/10 NOW WE CAN DIVIDE THESE 2 FRACTIONS THUS: (215/12)/(61/10) NOW WE NEED TO INVERT THE DENOMINATOR & MULTIPLY 215/12*10/61 2150/732 2.937 ANSWER. ---------------------------------------------------------------- OR WE COULD CHANGE THESE FRACTIONS TO DECIMALS AND DIVIDE. 17 11/12=17.9167 6 1/10=6.1 NOW DIVIDE: 17.9167/6.1 2.937 ANSWER.
 Trigonometry-basics/108080: The interest rate on an auto loan in May was 12 3/8%. By September the rate was up to 14 1/4 %. How many percentage points did the interest rate increase over the period? Please can someone help me with this percentage and fraction problem??1 solutions Answer 78732 by checkley71(8403)   on 2007-11-04 21:15:04 (Show Source): You can put this solution on YOUR website!14.25/12.375=1.1515 OR A 15.15 % INCREASE.
 Linear-systems/108081: solve system by addition, then state Y value x+y=28 x-y=121 solutions Answer 78731 by checkley71(8403)   on 2007-11-04 21:11:35 (Show Source): You can put this solution on YOUR website!X+Y=28 X-Y=12 --------------------------------- 2X=40 X=40/2 X=20 ANSWER. 20+Y=28 Y=28-20 Y=8 ANSWER. PROOF 20-8=12 12=12
 Trigonometry-basics/108082: Julio works as a quality control expert in a beverage factory. The assembly line that he monitors produces about 20,000 bottles in a 24-hour period. Julio samples about 120 bottles an hour and rejects the line if he finds more than 1/50 of the sample to be defective. About how many defective bottles should Julio allow before rejecting the entire line? Can someone please help me with this problem? I do not even no where or how to begin? 1 solutions Answer 78730 by checkley71(8403)   on 2007-11-04 21:08:57 (Show Source): You can put this solution on YOUR website!1/50*24*120=2880/50=57.6 DEFECTS IN THE 24 HOUR SAMPLE IS THE TARGET FOR SHUTTING DOWN THE LINE. HE SHOULD SHUT DOWN THE LINE IF 58 OF THE 2880 SAMPLES ARE DEFECTIVE.
 Trigonometry-basics/108078: Robin ran 5 1/3 mi on Sunday, 2 1/4 mi on Tuesday, and 3 1/2 mi on Friday. How far did she run during the week? HELP please i hate word problems and fractions here there are both. 1 solutions Answer 78729 by checkley71(8403)   on 2007-11-04 21:01:33 (Show Source): You can put this solution on YOUR website!5 1/3=16/3 2 1/4=9/4 3 1/2=7/2 NOW ADD 16/3+9/4+7/2 NEED TO FIND A COMMON DENOMINATOR THAT ALL DENOMINATORS DIVIDE EVENLY INTO. 4*3 LOOKS LIKE AN OPTION 16/3+9/4+7/2 (4*16+3*9+6*7)/12 (64+27+42)/12 133/12=11 1/11 MILES ANSWER. YOU COULD CONVERT THESE FRACTIONS TO DECIMALS & ADD THEM THUS: 5.333+2.25+3.5=11.083 WHICH EQUALS 11 1/11
 Linear-systems/108022: Write an equation of a line that is perpendicular to y= -3/4x + 2 and passes through (-4,1)1 solutions Answer 78727 by checkley71(8403)   on 2007-11-04 20:53:40 (Show Source): You can put this solution on YOUR website!THIS LINE HAS A SLOPE OF -3/4. THEREFORE A PERPENDICULAR LINE HAS A SLOPE OF 4/3. NOW REOPLACE THE X & Y VALUES IN THE LINE EQUATION [Y=mX+b] WITH (-4,1) & SOLVE FOR THE Y INTERCEPT (b). 1=4/3*-4+b 1=-16/3+b b=1+16/3 b=(3+16)/3 b=19/3 FOR THE Y INTERCEPT. Y=4X/3+19/3 ANSWER.
 Equations/108026: Write the fraction in simplest form. 20. 6/120 Any help with this equation would be GREATLY appreciated.1 solutions Answer 78726 by checkley71(8403)   on 2007-11-04 20:46:40 (Show Source): You can put this solution on YOUR website!6/120=1/20 OR .05 OR 5%
 Equations/108028: Oats 'n' Barely bulk food store sells cashews at \$18/kg and peanuts at \$6/kg. If the store wants to make a mixture of 50kg of cashews and peanuts to sell for \$9/kg, how many kilograms of cashews and how many kilograms of peanuts must be in the mixture?1 solutions Answer 78725 by checkley71(8403)   on 2007-11-04 20:45:05 (Show Source): You can put this solution on YOUR website!18X+6(50-X)=9*50 18X+300-6X=450 12X=450-300 12X=150 X=150/12 X=12.5 KG OF CASHEWS. 50-12.5=37.5 KG OF PEANUTS. PROOF 18*12.5+6*37.5=9*45 225+225=450 450=450
 Equations/108030: Write the equations in standard form of the horizontal and vertical lines that pass through the point. 1. (-5,-7) 2. (6,-10)1 solutions Answer 78723 by checkley71(8403)   on 2007-11-04 20:38:19 (Show Source): You can put this solution on YOUR website!(-5,7) THE HORIZONTAL LINE IS Y=7 THE VERTICLE LINE IS X=-5 (6,-10) THE HORIZONTAL LINE IS Y=-10 THE VERTICLE LINE IS X=6
 Graphs/108032: Translate the following statement into an algebraic equaion. Let x represent the number. 10 less than 17 times a number is 3 times that same number. 1 solutions Answer 78722 by checkley71(8403)   on 2007-11-04 20:34:11 (Show Source): You can put this solution on YOUR website!17X-10=3X 17X-3X=10 14X=10 X=10/14 OR 5/7 ANSWER.
 Graphs/108033: 4 times a number, decreased by 2, is 26. Find the number. 1 solutions Answer 78721 by checkley71(8403)   on 2007-11-04 20:31:40 (Show Source): You can put this solution on YOUR website!4X-2=26 4X=26+2 4X=28 X=28/4 X=7 ANSWER.
 Graphs/108034: Find two consecutive odd integers such that 5 times the first integer is 12 more than 3 times the second.1 solutions Answer 78720 by checkley71(8403)   on 2007-11-04 20:29:24 (Show Source): You can put this solution on YOUR website!LET X & X+2 BE THE 2 ODD INTEGERS. 5X=12+3(X+2) 5X=12+3X+6 5X-3X=18 2X=18 X=18/2 X=9 ANSWER FOR THE SMALLER ODD INTEGER. 9+2=11 FOR THE LARGER ODD INTEGER. PROOF 5*9=12+3*11 45=12+33 45=45
 Equations/108035: An open cylindrical garbage container has a surface are of 1500cm^2(squared) and a radius of 12cm. What is its height to the nearest tenth of a centimetre? 1 solutions Answer 78719 by checkley71(8403)   on 2007-11-04 20:25:56 (Show Source): You can put this solution on YOUR website!V=CIRCUMFERANCE*HEIGHT. 1500=2*PI*R*H 1500=2*3.14*12*H 1500=75.36H H=1500/75.36 H=20 CM FOR THE HEIGHT.
 Graphs/108037: Solve the following systems by graphing. 3x-6y=9 x-2y=3 -1(3x-6y)=9(-1) -3(x-2y)=3(-3) then -3x+6y=-9 -3x+6y=-9 Am I doing this wrong because this does not look right? 1 solutions Answer 78718 by checkley71(8403)   on 2007-11-04 20:19:30 (Show Source): You can put this solution on YOUR website!YOU ARE CORRECT. HOWEVER THESE 2 EQUATIONS ARE IDENTICAL THEREFORE IF YOU PLOTED THEM THEY WOULD BE A SINGLE LINE.
 Systems-of-equations/108039: Write in slope-intercept form. (-2/3,4) (6,-1/3)1 solutions Answer 78717 by checkley71(8403)   on 2007-11-04 20:15:51 (Show Source): You can put this solution on YOUR website!SLOPE=(Y2-Y1)/(X2-X1) SLOPE=(1/3-4)/(6+2/3) SLOPE=(-3 3/4)/(6 2/3) SLOPE=(-15/4)/(20/3) SLOPE=-15/4*3/20 SLOPE=-45/80 SLOPE=-9/16 THE (m) TERM IN THE STARND LINE FORMULA. NOW SUBSTITUTE ONE SET OF POINTS FOR THE X & Y VALUES & SOLVE FOR THE Y INTERCEPT(b) IN THE LINE FORMULA Y=mX+b. 4=-9/15*-2/3+b 4=18/45+b b=4-18/45 b=(4*45-18)/45 b=(180-18)/45 b=162/45=18/5 FOR THE Y INTERCEPT. THUS THE EQUATION IS Y=-9X/16+18/5
 Pythagorean-theorem/108056: This question is from textbook Introductoru & Intermediate Algebra The length of a rectangle exceeds twice its width by 3 inces. If the area is 10 square inches, find the rectangles dimensions. Round to the nearest tenth of an inch.1 solutions Answer 78715 by checkley71(8403)   on 2007-11-04 20:05:20 (Show Source): You can put this solution on YOUR website!L=2W+3 L*W=10 (2W+3)*W=10 2W*2+3W-10=0 USING THE QUADRATIC EQUATON WE GET X=(-3+-SQRT[3^2-4*2*-10])/2*2 X=(-3+-SQRT[9+80])/4 X=(-3+-SQRT89)/4 X=(-3+-9.43)/4 X=(-3+9.43)/4 X=6.43/4 X=1.6 ANSWER FOR THE WIDTH. L=2*1.6 L=3.2+3 L=6.2 FOR THE LENGTH. PROOF 1.6*6.2=10 10=10
 Length-and-distance/108052: Could someone please help me on this...I am clueless. On Saturday morning, Lynn walked for 2 hours and then ran for 30 minutes. If she ran twice as fast as she walked and covered 12 miles altogether, then how fast did she walk? 1 solutions Answer 78710 by checkley71(8403)   on 2007-11-04 19:50:48 (Show Source): You can put this solution on YOUR website!DISTANCE=RATE*TIME 2X+.5*2X=12 2X+X=12 3X=12 X=12/3 X=4 MILES PER HOUR WAS HER WALKING PACE. PROOF 2*4+.5*2*4=12 8+4=12 12=12
 Linear-equations/108049: Alice Gleeson invested a portion of \$32,000.00 at 9% interest and the balance at 11% interest, how much did she invest at each rate if her total income from both investments was \$3,200.00?1 solutions Answer 78708 by checkley71(8403)   on 2007-11-04 19:42:42 (Show Source): You can put this solution on YOUR website!.11X+.09(32,000-X)=3,200 11X+2880-.09X=3,200 .02X=3,200-2,880 .02X=320 X=320/.02 X=16,000 AMOUNT INVESTED @ 11% 32,000-16,000=16,000 AMOUNT INVESTED @ 9% PROOF .11*16,000+.09*16,000=3,200 1,760+1,440=3,200 3,200=3,200
 Travel_Word_Problems/108043: A BUS LEAVES A STATION AT 1 P.M., TRAVELING WEST AT AN AVERAGE RATE OF 44 MI/H. ONE HOUR LATER A SECOND BUS LEAVES THE SAME STATION TRAVELING EAST AT A RATE OF 48 MI/H. AT WHAT TIME WILL THE TWO BUSES BE 274 MILES APART? a1 solutions Answer 78707 by checkley71(8403)   on 2007-11-04 19:37:08 (Show Source): You can put this solution on YOUR website!274=44T+48(T-1) 274=44T+48T-48 274=92T-48 92T=274+48 92T=322 T=322/92 T=3.5 HOURS PROOF 274=44*3.5+48(3.5-1) 274=154+48*2.5 274=154+120 274=274
 Numbers_Word_Problems/107872: Find the greatest two consecutive even integers whose sum is less than 180.1 solutions Answer 78633 by checkley71(8403)   on 2007-11-03 22:51:48 (Show Source): You can put this solution on YOUR website!X+X+2<180 2X+2<180 2X<180-2 2X<178 X<178/2 X<89 THE LARGEST EVEN NUMBER THAT MEETS THIS REQUIREMENT IS 88 88+2=90 PROOF 88+90<180 178<180
 Linear-equations/107870: Are the following lines parrallel, perpendicular, or neither. L1 2x+4y=5 L2 x+2y=4 thanks for any help it is greatly appreciated Heather1 solutions Answer 78632 by checkley71(8403)   on 2007-11-03 22:48:03 (Show Source): You can put this solution on YOUR website!TO ANSWER THIS PROBLEM WE NEED TO FIND THE SLOPES OF THESE TWO LINES. 2X+4Y=15 4Y=-2X+15 Y=-2X/4+15/4 Y=-X/2+15/4 THIS LINE HAS A SLOPE IS -1/2. X+2Y=4 2Y=-X+4 Y=-X/2+4/2 Y=-X/2+2 THIS LINE HAS A SLOPE OF -1/2. THEREFORE THEY ARE PARALLEL LINES.
 Linear-systems/107750: given f(x)= -x^3+2x^2-2x-2, find f(-2) and f(0)1 solutions Answer 78627 by checkley71(8403)   on 2007-11-03 22:39:20 (Show Source): You can put this solution on YOUR website!F(X)=-X^3+2X^2-2X-2 F(-2)=-(-2)^3+2(-2)^2-2(-2)+2 F(-2)=-(-8)+2(4)+4+2 F(-2)=8+8+6 F(-2)=22 ANSWER. F(0)=-(0)^3+2(0)^2-2*0+2 F(0)=0+0-0+2 F(0)=2 ANSWER.
 Parallelograms/107866: A parallelogram is a quadrilateral with two pairs of parallel sides. Show that ABCD is a parallelogram if the coordinates of the vertices are A(-2,3), B(2,7), C(8,5), and D(4,1).1 solutions Answer 78625 by checkley71(8403)   on 2007-11-03 22:32:59 (Show Source): You can put this solution on YOUR website!TO PROVE THIS IS A PARALLELOGRAM WE NEED TO PROVE THAT THE SLOPESOF THE OPOSITE SIDES ARE EQUAL. (7-3)/2+2)=4/4=1 & (1-5)/(4-8)=-4/-4=1 THESE 2 LINES ARE PARALLEL. (1-3)/(4+2)=-2/6=-3 & (5-7)/(8-2)=-2/6=-3 THESE 2 LINES ARE PARALLEL.
 Human-and-algebraic-language/107763: At \$11.25 per foot for the curved portion and \$1.75 per foot for the straight portion. How much will it cost to put molding around a window. Use 3.141 solutions Answer 78623 by checkley71(8403)   on 2007-11-03 22:23:04 (Show Source): You can put this solution on YOUR website!4 FEET 6 INCHES=4.5 FEET. 2 FEET 3 INCHES=2.25 FEET. 4.5*2=9 FEET FOR THE STRAIGHT PORTION. 9*1.75=\$15.75 IS THE COST FOR THE STRAIGHT MOLDING. RADIUS OF THE TOP SECTION IS 2.25 FEET. 1/2 THE CIRCUMFERANCE IS THE LENGTH OF THE CURVED SECTION FOR MOLDING. C=2*PI*R C=2*3.14*2.25 C=14.13 IS THE CIRCUMFERANCE. 1/2*14.13=7.065 FEET IS HALF THE CIRCUMFERANCE. 7.065*11.25=79.48 COST OF THE CURVED SECTION. 15.75+79.48=\$95.23 FOR THE TOTAL COST. DON'T KNOW HOW THEY GOT \$103.11?
 Polynomials-and-rational-expressions/107864: This question is from textbook Can you help me with this problem and show me the steps to solve it? -2a^2-5ab-2b^2 Thanks!1 solutions Answer 78621 by checkley71(8403)   on 2007-11-03 22:17:00 (Show Source): You can put this solution on YOUR website!-2A^2-5AB-2B^2 TO MAKE THESE TERMS MORE MANAGEABLE. MULTIPLY ALL THESE TERMS BY -1 2A^2+5AB+2B^2 NOW FACTOR: ARRANGE THE FACTORS OF 2 (1 & 2) SO THAT THE 2 PRODUCTS ARE = 2 AND THE SUM IS 5. [2*2+1*1=4+1=5] & [1*2=2 & 1*2=2] (2A+B)(A+2B)
 Equations/107865: x-11=5 and 0=x-71 solutions Answer 78617 by checkley71(8403)   on 2007-11-03 22:08:37 (Show Source): You can put this solution on YOUR website!X-11=5 X=5+11 X=16 ANSWER. 0=X-7 X=7 ANSWER.