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anonymous

  • 5 years ago

The perimeter of a triangle is 45 centimeters. The longest side is 5 centimeter(s) less than the sum of the other two sides. Twice the shortest side is 4 centimeters less than the longest side. Find the lengths of each side of the triangle. The length from the shortest to longest are_, _, and _ centimeters?

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  1. anonymous
    • 5 years ago
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    The information you're given allows you to set up three equations in three unknowns. Name the sides as: l = longest s = shortest a = remaining side The perimeter is 45, which is the sum of the lengths of the sides, so\[l+s+a=45\]is one equation. You're told that the longest side is 5 LESS than the SUM of the other two sides, so\[l=a+s-5\]and finally, TWICE the shortest side equals 4 LESS than the longest, namely,\[2s=l-4\]

  2. anonymous
    • 5 years ago
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    You have three linear equations in three unknowns, so you can solve the system exactly.

  3. anonymous
    • 5 years ago
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    Lol. Ok, so what;s the answers though?

  4. anonymous
    • 5 years ago
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    i like the way you explain it though...

  5. anonymous
    • 5 years ago
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    Well, you have to do some substituting. Take any one of you equations to begin with. Use the second to plug into the third to eliminate for l. So,\[2s=(a+s-5)-4=a+s-9 \rightarrow a=s+9\]

  6. anonymous
    • 5 years ago
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    Let me sort it.

  7. anonymous
    • 5 years ago
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    .......

  8. anonymous
    • 5 years ago
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    It's fast to do on paper but a pain to do online.

  9. anonymous
    • 5 years ago
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    tell me about it...

  10. anonymous
    • 5 years ago
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    If you sub. the equation for l (second one) into the first, you should get\[(a+s-5)+s+a=45 \rightarrow s+a=20\]

  11. anonymous
    • 5 years ago
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    If you sub the same second equation for l into the third, you get\[2s=(a+s-5)-4 \rightarrow a-s=9\] (forget the equation I solved at the very beginning, I stuffed the sign).

  12. anonymous
    • 5 years ago
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    You now have \[a+s=20\]and\[a-s=9\]

  13. anonymous
    • 5 years ago
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    If a=9+s from the second equation here, then putting it into the first, you get\[(9+s)+s=20 \rightarrow 2s=11 \rightarrow s=\frac{11}{2}\]

  14. anonymous
    • 5 years ago
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    lol..this is a monster!

  15. anonymous
    • 5 years ago
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    Which means, from any of the two equations involving a and s above, for a,\[a=9+s=9+\frac{11}{2}=\frac{29}{2}\]

  16. anonymous
    • 5 years ago
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    Now from your perimeter equation, you can solve for l:\[l=45-a-s=45-\frac{29}{2}-\frac{11}{2}=25\]

  17. anonymous
    • 5 years ago
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    You're done.

  18. anonymous
    • 5 years ago
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    Well, I am...

  19. anonymous
    • 5 years ago
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    so it's how many centimeters each?

  20. anonymous
    • 5 years ago
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    Just look through - l = 25 cm s = 5.5 cm a = 14.5 cm

  21. anonymous
    • 5 years ago
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    crap

  22. anonymous
    • 5 years ago
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    crap what?

  23. anonymous
    • 5 years ago
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    The correct answers were 8,17, and 20! :(

  24. anonymous
    • 5 years ago
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    Now it reformulates a new, but similar problem for me to solve.

  25. anonymous
    • 5 years ago
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    Now it's......

  26. anonymous
    • 5 years ago
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    The perimeter of a triangle is 45 centimeters. The longest side is 5 centimeter(s) less than the sum of the other two sides. Twice the shortest side is 4 centimeters less than the longest side. Find the lengths of each side of the triangle. The length from the shortest to longest are_, _, and _ centimeters?

  27. anonymous
    • 5 years ago
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    Yes a mistake was made. You need to check everything once it's solved but putting it back into the equations.

  28. anonymous
    • 5 years ago
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    its the same one! never had that happen before.

  29. anonymous
    • 5 years ago
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    so what would be the "mistake free" answer? :)

  30. anonymous
    • 5 years ago
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    Well, if it's the same question, you already have the answers - you just posted them!

  31. anonymous
    • 5 years ago
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    LOL......DUH!

  32. anonymous
    • 5 years ago
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    I didn't even think of that.

  33. anonymous
    • 5 years ago
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    Sigh......long day.

  34. anonymous
    • 5 years ago
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    Want a shot at another?

  35. anonymous
    • 5 years ago
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    Depends, if you give me back my fan point ;)

  36. anonymous
    • 5 years ago
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    Fair enough!

  37. anonymous
    • 5 years ago
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    Do you have the question?

  38. anonymous
    • 5 years ago
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    Yeah, it's a beast.... one sec.....

  39. anonymous
    • 5 years ago
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    In a certain year out of pocket expenses for an elderly person in poor health were 3353 more than for an elderly person in good health. Combined out of pocket expenses for one person in poor health and one person in good health was 6677 find the our of pocket expenses for each type of person. Out of pocket expenses for a person in poor health was.... Out of pocket expenses for a person in good health was....

  40. anonymous
    • 5 years ago
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    phew!

  41. anonymous
    • 5 years ago
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    Do you just want the answer?

  42. anonymous
    • 5 years ago
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    Did you take my point off again? lol

  43. anonymous
    • 5 years ago
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    lol...me? Nooooooo! Why would you ask that?! ;)

  44. anonymous
    • 5 years ago
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    poor health person = 5015 good health person = 1662

  45. anonymous
    • 5 years ago
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    Yes.....I was holding it hostage until you returned. It's back.

  46. anonymous
    • 5 years ago
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    Ok......now enlighten me how you got it so darn fast! I have a friend on here that is taking the same class and I want to help her too.

  47. anonymous
    • 5 years ago
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    She is Kelley29 I think..

  48. anonymous
    • 5 years ago
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    poor health out-of-costs = p good health out-of-costs = g Information says p = 3353 + g p + g = 6677 Solve the two. First is p=3353 + g so sub. into second to get rid of p: (3353 + g) = 6677

  49. anonymous
    • 5 years ago
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    .............

  50. anonymous
    • 5 years ago
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    g=6677-3353=1662

  51. anonymous
    • 5 years ago
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    p=3353+ g = 3353 + 1662 = 5015

  52. anonymous
    • 5 years ago
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    Ok what her numbers are poor health=3334, good health=6596

  53. anonymous
    • 5 years ago
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    she just gave me that, and I have no idea what that formula is you just gave me.....unfortunately. I will tell her to give you a POINT!

  54. anonymous
    • 5 years ago
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    you're a star

  55. anonymous
    • 5 years ago
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    Whats tha t mean?

  56. anonymous
    • 5 years ago
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    It just means I appreciate your offer to get your friend to give me a point.

  57. anonymous
    • 5 years ago
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    Lol, i'ts the least I can do!

  58. anonymous
    • 5 years ago
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    SO what is it?

  59. anonymous
    • 5 years ago
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    what is what?

  60. anonymous
    • 5 years ago
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    her answer! lol

  61. anonymous
    • 5 years ago
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    U need more info?

  62. anonymous
    • 5 years ago
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    I don't have her question - what's her login name?

  63. anonymous
    • 5 years ago
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    Just give me a second, I'm just helping someone else too.

  64. anonymous
    • 5 years ago
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    Same questions! Hers is Kelley29

  65. anonymous
    • 5 years ago
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    Ok n/m some dude just got it for her.

  66. anonymous
    • 5 years ago
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    But...we have more. At least a coupla more.

  67. anonymous
    • 5 years ago
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    Kelly29 is being helped by blexting.

  68. anonymous
    • 5 years ago
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    He/she does a good job.

  69. anonymous
    • 5 years ago
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    Ok, well I have more...

  70. anonymous
    • 5 years ago
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    Translate to a system of equations, but do not solve. An non toxic floor wax can be made from lemon juice and food grade linseed oil. The amount of oil should be twice the amount of lemon juice. How much of each ingredient is needed to make 42 ounces of floor wax? Let x represent the number of ounces of lemon juice and y the number of ounces of linseed oil. Complete the system of equations. y= x+y=

  71. anonymous
    • 5 years ago
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    It's absolutely ridiculous!

  72. anonymous
    • 5 years ago
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    ...........

  73. anonymous
    • 5 years ago
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    y=2x x+y =42 ------------------------------------------------------ You're told you need 2 times as much x as y (2 times as much lemon juice as linseed oil). You also know that the total weight, x + y, should be 42 oz.

  74. anonymous
    • 5 years ago
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    ANd AGAIN........you got it right!

  75. anonymous
    • 5 years ago
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    last one here for the night.....i promise.........

  76. anonymous
    • 5 years ago
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    If a plane can travel 480 miles per hour with the wind, and 380 miles per hour against the wind, find the speed of the plan without a wind and the speed of the wind. The speed of the plan in still air is _miles per hour.

  77. anonymous
    • 5 years ago
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    It's 430 miles per hour

  78. anonymous
    • 5 years ago
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    Ok........the speed of the WIND is?

  79. anonymous
    • 5 years ago
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    50, sorry, forgot

  80. anonymous
    • 5 years ago
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    50mph?

  81. anonymous
    • 5 years ago
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    Ok, can you PLEASE help my friend now.....you rock, and these other guys suck apparently! I will tell her to rock your points! :,)

  82. anonymous
    • 5 years ago
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    Thank you very much by the way......I really do appreciate your help.

  83. anonymous
    • 5 years ago
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    Thanks for the praise. I'll see what I can do. I promised someone else I'd help him and he's been waiting. If kelley29 is still around when I'm done, I'll help.

  84. anonymous
    • 5 years ago
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    I understand. You're the best! I hope to see you on here for the next 4 weeks or so.

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