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# Recent problems solved by 'checkley71'

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 Quadratic_Equations/60107: How do you complete the square of x2-8x=33 and x2-8x+40=01 solutions Answer 41447 by checkley71(8403)   on 2006-11-07 16:56:43 (Show Source): You can put this solution on YOUR website!X^2-8X=33 X^2-8X+16=33+16 (X-4)(X-4)=49 X-4=7 X=7+4 X=11 -------------------------------------------- X^2-8X+40=0 X^2-8X=-40 X^2-8X+16=-40+16 (X-4)(X-4)=-24 X-4=2SQRT6
 Linear-systems/60148: This question is from textbook Intermediate Algebra I am confused on how to do these kind of problems. The same with chapter 3 Section 3 I am not sure how to solve using substitution and eliminations1 solutions Answer 41446 by checkley71(8403)   on 2006-11-07 16:49:23 (Show Source): You can put this solution on YOUR website!X+7Y=10 -6X+8Y=-10 USING THE SUBSTITUTION METHOD SOLVE ONE OF THE EQUATIONS FOR X OR Y X=10-7Y NOW SUBSTITUTE (10-7Y) FOR X IN THE OTHER EQUATION -6(10-7Y)+8Y=-10 -60+42Y+8Y=-10 50Y=60=10 50Y=50 Y=50/50 Y=1 NOW SUBSTITUTE 1 FOR Y IN EQUATION 1 WE GET X+7*1=10 X+7=10 X=10-7 X=3 NOW FOR THE ELIMINATION METHOD USING THE SAME EQUATIONS X+7Y=10 -6X+8Y=-10 NOW WE MULTIPLY EQUATION 1 BY 6 WE GET 6X+42Y=60 NOW ADD THESE TWO EQUATIONS ---------------------- 0X+50Y=50 50Y=50 Y=50/50 Y=1 NOW SUBSTITUTE I FOR Y IN EITHER EQUATION WE GET -6X+8*1=-10 -6X+8=-10 -6X=-10-8 -6X=-18 X=-18/-6 X=3 HOPE THIS HELPS :)
 Equations/60310: This question is from textbook Mathematical Connections 5(v+1)+5v=351 solutions Answer 41443 by checkley71(8403)   on 2006-11-07 16:36:48 (Show Source): You can put this solution on YOUR website!5(V+1)+5V=35 5V+5+5V=35 10V=35-5 10V=30 V=30/10 V=3 PROOF 5(3+1)+5*3=35 5*4+5*3=35 20+15=35 35=35
 Linear-equations/60307: How would I solve 2x-3y=6???1 solutions Answer 41442 by checkley71(8403)   on 2006-11-07 16:34:15 (Show Source): You can put this solution on YOUR website!2X-3Y=6 IF THIS IS AN EQUATION FOR A LINE THEN -3Y=-2X+6 Y=-2X/-3+6/-3 Y=2X/3-2 THIS IS A LINE WITH A SLOPE OF 2/3 AND A Y INTERCEPT OF -2 (0,-2) SETTING Y=0 WE CAN FIND THE X INTERCEPT 0=2X/3-2 2X/3=2 2X=6 X=6/2 X=3 OR (3,0)
 Inequalities/60299: This question is from textbook Pre-Algebra Please solve the equation. -9x+15=-22-4(x+12). Thanks for the help!1 solutions Answer 41440 by checkley71(8403)   on 2006-11-07 16:29:47 (Show Source): You can put this solution on YOUR website!-9X+15=-22-4(X+12) -9X+15=-22-4X-48 -9X+4X=-22-48-15 -5X=-85 X=-85/-5 X=17 PROOF -9*17+15=-22-4(17+12) -153+15=-22-68-48 -138=-138
 Money_Word_Problems/60304: This question is from textbook Elementary and Intermediate Algebra To Whomever can assist, thank you! If a box of candy costs a retailer \$2.50, and he wants to make a profit of 50% based on the selling price, what price should he charge for the candy?1 solutions Answer 41439 by checkley71(8403)   on 2006-11-07 16:25:45 (Show Source): You can put this solution on YOUR website!2.50+.5*2.50=2.50+1.25=\$3.75 WHICH IS A 50% MARKUP.
 Exponents-negative-and-fractional/60118: how do u do this 10 to the negative 2nd power?1 solutions Answer 41438 by checkley71(8403)   on 2006-11-07 16:23:10 (Show Source): You can put this solution on YOUR website!10^(-2)=1/10^2=1/100=.01 ANOTHER APPROACH IS TO MOVE THE DECIMAL 2 PLACES TO THE LEFT (-2)
 Coordinate-system/60175: Can someone show me what this graph would look like? y = x + 2 Thanks, Lisa1 solutions Answer 41429 by checkley71(8403)   on 2006-11-07 16:02:17 (Show Source): You can put this solution on YOUR website!Y=X+2 THIS LINE HASA SLOPE OF 1 THIS LINE HAS A Y INTERCEPT OF 2 (0,2) SETTING Y=0 WE SOLVE Y=mX+b FOR X 0=X+2 X=-2 OR (-2,0) SO YOU NOW HAVE TWO POINTS (0,2)&(-2,0) CONNECT THESE POINTS AND YOU HAVE THE LINE REPRESENTED BY Y=X+2
 Inequalities/60290: This question is from textbook Pre-Algebra Please solve the equation. 5x-8=13+7(x-3). Thanks for the help!1 solutions Answer 41427 by checkley71(8403)   on 2006-11-07 15:57:11 (Show Source): You can put this solution on YOUR website!5X+8=13+7(X-3) 5X+8=13+7X-21 5X-7X=13-21-8 -2X=-16 X=-16/-2 X=8 PROOF 5*8+8=13+7(8-3) 40+8=13+7*5 48=13+35 48=48
 Expressions-with-variables/60294: This question is from textbook Algebra 1 -v/5=-451 solutions Answer 41425 by checkley71(8403)   on 2006-11-07 15:54:15 (Show Source): You can put this solution on YOUR website!-V/5=-45 -V=5*-45 -V=-225 V=225
 Word_Problems_With_Coins/60293: This question is from textbook Elementary and Intermediate Algebra This word problem has to do with coins, but I need to solve it by setting up and solving a system of two linear equations in two variables. Cindy has 43 coins consisting of nickels and dimes. The total value of the coins is \$3.40. How many coins of each kind does she have? I have gotten this far: n + d = 3.40 is that right?1 solutions Answer 41424 by checkley71(8403)   on 2006-11-07 15:52:23 (Show Source): You can put this solution on YOUR website!N+D=43 & 5N+10D=340 N=43-D 5(43-D)+10D=340 215-5D+10D=340 5D=340-215 5D=125 D=125/5 D=25 NUMBER OF DIMES N+25=43 N=43-25 N=18 NUMBER OF NICKELS PROOF 5*18+10*25=340 90+250=340 340=340
 Equations/60292: x-x(.06)=2250001 solutions Answer 41421 by checkley71(8403)   on 2006-11-07 15:47:48 (Show Source): You can put this solution on YOUR website!X-X(.06)=225,000 X-.06X=225,000 .94X=225,000 X=225,000/.94 X=239,361.7
 Coordinate-system/60199: Can someone help me plot the point with coordinates (-4,3)? Can you show me what the graph looks like? Thanks, Ashley1 solutions Answer 41420 by checkley71(8403)   on 2006-11-07 15:45:05 (Show Source): You can put this solution on YOUR website!(-4,3) IS PLOTED BY COUNTING 4 UNITS TO THE LEFT OF THE (0,0) X&Y INTERSECT POINTS ON THE X AXIS & THEN COUNT UP 3 UNITS. YOU NOW HAVE THE POINT (-4,3). DON'T YOU HAVE A TEXT BOOK TO DESCRIBE THESE GEOMETRY PROBLEMS???????? IF NOT, I STRONGLY SUGGEST YOU GET ONE FROM SCHOOL OR THE LOCAL LIBRARY.
 Polynomials-and-rational-expressions/60288: This question is from textbook A blueprint scale is 1.5 in : 6 ft. On the plan, the den measures 2.5 in. by 3 in. What are the actual dimensions of the den? I know I have the right answer, but the way I do it doesn't "satisfy" my teacher. Please help!1 solutions Answer 41417 by checkley71(8403)   on 2006-11-07 15:36:21 (Show Source): You can put this solution on YOUR website!1.5I:6F 1.5I:72I 1.5/2.5:72/X 1.5X=2.5*72 1.5X=180 X=180/1.5 X=120 IN. OR 10 FEET 1.5/3:72/X 1.5X=3*72 1.5X=216 X=216/1.5 X=144 IN. 0R 12 FEET SO THE DEN IS 10 BY 12 FEET.
 Linear-systems/60209: A company pays 15,40 euro/ hour during the daytime and 19,60 euro/hour during night time.A man has got 852,60 euro after his work of a certain time during daytime and a certain time during night time. If he changes his night time with that of the day time he will be recieved 25,20 euro less. Calculate how many hors he worked during daytime and night time ?1 solutions Answer 41357 by checkley71(8403)   on 2006-11-07 11:35:58 (Show Source): You can put this solution on YOUR website!15.40X+19.60Y=852.60 15.40X=852.60-19.60Y X=(852.60-19.60Y)/15.40 AND 15.40Y+19.60X=852.60-25.20 IF WE SUBSTITUTE (852.60-19.60Y)/15.40 FOR X IN THE SECOND EQUATION WE GET 15.40Y+19.60(852.60-19.60Y)/15.40=852.60-52.20 15.40Y+19.60/15.40(852.60-19.60Y)=800.4 15.40Y+1.2727(852.60-19.60Y)=800.4 15.40Y+1085.1272-24.94545Y=800.4 -9.54545Y=800.4-1085.1272 -9.54545Y=-284.7272 Y=-284.7272/-9.54545 Y=29.829 THUS THE NIGHT TIME HOURS WORKED X=(852.6-19,60*29.829)/15.40 X=(852.6-584.648)/15.40 X=267.952/15.40 X=17.4 THUS THE DAY TIME HOURS WORKED
 Equations/60192: Can someone help e solve this problem? I need to solve: 10x - 1/4 = 9x + 3/8 Thank you, sher1 solutions Answer 41348 by checkley71(8403)   on 2006-11-07 10:58:46 (Show Source): You can put this solution on YOUR website!10X-1/4=9X+3/8 10X-9X=3/8+1/4 X=3/8+2/8 X=5/8 PROOF 10*5/8-1/4=9*5/8+3/8 50/8-1/4=45/8+3/8 50/8-2/8=(45+3)/8 (50-2)/8=48/8 48/8=48/8 6=6
 Equations/60194: Can someone help me with the following equation? The equation y = 11x - 70 describes the amount of money a class of students might earn from candy bar sales.. What are the slope and y-intercept of this line? Thank you, sher1 solutions Answer 41346 by checkley71(8403)   on 2006-11-07 10:53:55 (Show Source): You can put this solution on YOUR website!Y=11X-70 THIS LINE HAS A SLOPE OF 11 & A Y INTERCEPT OF -70
 Coordinate-system/60201: Can someone help me find the slope and y-intercept of the following: x = -9 What would it look like on the computer? Thanks, Ashley1 solutions Answer 41344 by checkley71(8403)   on 2006-11-07 10:50:51 (Show Source): You can put this solution on YOUR website!X=-9 OR (-9,0)IS THE POINT DEFINED. THIS LINE IS A VERTICLE LINE PASSING THROUGH THE POINT (-9,0) & HAS NO Y INTERCEPT & AN UNDEFINED SLOPE.
 Divisibility_and_Prime_Numbers/60202: Can someone help me on this problem? The sum of two numbers is 33. Their difference is 11. What are the two numbers? Thanks, Ashley1 solutions Answer 41342 by checkley71(8403)   on 2006-11-07 10:44:49 (Show Source): You can put this solution on YOUR website!X+Y=33 X-Y=11 X=11+Y (11+Y)+Y=33 11+Y+Y=33 2Y=22-11 X=11 SOLUTION THUS 11+Y=33 Y=33-11 Y=22 SOLUTION
 Numeric_Fractions/60218: This question is from textbook Study Guide for The NET The HOBET The HELP 2/3% of (?)= 33.31 solutions Answer 41341 by checkley71(8403)   on 2006-11-07 10:41:29 (Show Source): You can put this solution on YOUR website!2/3%X=33.3 .006666666X=33.3 X=33.3/.006666666 X=5,000
 Polynomials-and-rational-expressions/60222: This question is from textbook Intermediate Algebra I need help solving [3+(4b+1)]^2 I know what the answer should be, 16b^2+32b+16 but I am not sure how to actually work the problem out to find the answer.1 solutions Answer 41340 by checkley71(8403)   on 2006-11-07 10:37:23 (Show Source): You can put this solution on YOUR website![3+(4b+1)]^2 [3+4b+1]^2 [4b+4]^2 (4b+4)(4b+4) use the FOIL process First*First, Outer*Outer, Inner*Inner, Last*Last 4b*4b+4*4b+4*4b+4*4 16b^2+16b+16b+16 16b^2+32b+16 YOU HAVE THE CORRECT ANSWER. HOPE THIS HELPS :)
 Numeric_Fractions/60153: Can someone help me on this? I need to subtract: 7/9 - 1/6 Thanks, Ashley1 solutions Answer 41303 by checkley71(8403)   on 2006-11-06 22:15:33 (Show Source): You can put this solution on YOUR website!7/9-1/6=[(7*6)-(1*9)]/9*6=(42-9)/54=33/54=11/18
 Numeric_Fractions/60154: Can someone help me on this? I need to convert 3 6/7 to a fraction Thanks, Ashley1 solutions Answer 41300 by checkley71(8403)   on 2006-11-06 22:12:12 (Show Source): You can put this solution on YOUR website!3 6/7=21/7+6/7=27/7
 Geometry_Word_Problems/60123: This question is from textbook Elementry and Intermediate Algebra Find the dimensions of a rectangle whose length is 40 inches more than its width and whose perimeter is 300 inches. 1 solutions Answer 41299 by checkley71(8403)   on 2006-11-06 22:09:41 (Show Source): You can put this solution on YOUR website!300=2X+2(X+40) 300=2X+2X+80 4X=300-80 4X=220 X=220/4 X=55 IS THE WIDTH THEN 55+40=95 PROOF 300=2*55+2*95 IS THE LENGTH 300=110+190 300=300
 Linear-equations/60137: This question is from textbook Elementary and Intermediate Algebra To Whomever can assist, Thank you! Now I'm supposed to choose either the substitution method or the elimination by addition method. 2x - y = 1 3x - 2y = -51 solutions Answer 41297 by checkley71(8403)   on 2006-11-06 22:03:32 (Show Source): You can put this solution on YOUR website!2X-Y=1 -Y=-2X+1 Y=2X-1 NOW SUBSTITUTE (2X-1) FOR Y IN EQUATION #2 3X-2(2X-1)=-5 3X-4X+2=-5 -X=-5-2 -X=-7 X=7 THEN (2*7)-Y=1 14-Y=1 -Y=-14+1 -Y=-13 Y=13 PROOF 3*7-2*13=-5 21-26=-5 -5=-5
 Square-cubic-other-roots/60139: I got 1 as the answer for this problem but it's incorrect. Can anyone help me to solve this? (2SQRT<2>-SQRT<3>)(2SQRT<2>+SQRT<3>) Thanks!1 solutions Answer 41294 by checkley71(8403)   on 2006-11-06 21:47:14 (Show Source): You can put this solution on YOUR website!IF YOU MEAN (2SQRT2-SQRT3)(2SQRT2+SQRT3) THEN 4SQRT4-2SQRT6+2SQRT6-SQRT9 4*2-2*2.449+2*2.449-3 8-3=5
 Graphs/60146: Hello. I have 2 problems I dont understand. Any assistance would be greatly appreciated. solve the following equation. 24x-12<36 solve the following equation then write the solution in interval notation -9<-2x-1<3 The first < sign is supposed to be underlined. 1 solutions Answer 41289 by checkley71(8403)   on 2006-11-06 21:26:08 (Show Source): You can put this solution on YOUR website!24X-12<=36 24X<=36+12 24X<=48 X<=48/24 X<=2
 Functions/60145: This question is from textbook Algebra 1 s=l-rl Solve for r1 solutions Answer 41288 by checkley71(8403)   on 2006-11-06 21:22:39 (Show Source): You can put this solution on YOUR website!S=L-RL S-L=-RL RL=L-S R=(L-S)/L
 Rectangles/60024: i used 140m of wire to make a fence. Prove that x = 10 If i had a rectangle with a height of x a width of x and a length of x + 5 1 solutions Answer 41248 by checkley71(8403)   on 2006-11-06 17:42:59 (Show Source): You can put this solution on YOUR website!A RECTANGLE HAS A LENGTH & A WIDTH. WHAT IS THE THIRD DIMENTION -- HEIGHT?
 Number-Line/59983: i wanted to know how can I go about solving this equation x/12=4. I really don't understand the number line chart so I writing this so you can get back to me on this. Thanks alot get back to me A.S.A.P The chapter I'm on is Chapter 1 Lesson 6 Activity 31 solutions Answer 41191 by checkley71(8403)   on 2006-11-06 10:54:26 (Show Source): You can put this solution on YOUR website!x/12=4 rewrite this as 2 fractions x/12=4/1 nowcrossmultiply and you get 1x=4*12 x=48 proof 48/12=4 4=4
 Miscellaneous_Word_Problems/59844: 80. Diagonal brace. The width of the rectangular gate id 2 meters (m) longer than its heights. The diagonal brace measures sqrt 6 m. find the width and height. X+2 length height x diagonal is sqrt 6 m 1 solutions Answer 41115 by checkley71(8403)   on 2006-11-05 17:34:47 (Show Source): You can put this solution on YOUR website!6^2=X^2+(X+2)^2 36=X^2+X^2+4X+4 2X^2+4X+4-36=0 2X^2+4X-32=0 X^2+2X-16=0USING THE QUADRATIC EQUATION WE GET X=(-B+-SQRT[B^2-4AC])/2A X=(-2+-SQRT[4-4*1*-16)/2*1 X=(-2+-SQRT[4+64])/2 X=(-2+-SQRT68)/2 X=(-2+-8.246)/2 X=(-2+8.246)/2 X=6.246/2 X=3.123 SOLUTION X=(-2-8.246)/2 X=-10.246/2 X=-5.123 SOLUTION