anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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,\[2s=l-4\]
anonymous
  • anonymous
You have three linear equations in three unknowns, so you can solve the system exactly.
anonymous
  • anonymous
Lol. Ok, so what;s the answers though?

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anonymous
  • anonymous
i like the way you explain it though...
anonymous
  • anonymous
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,\[2s=(a+s-5)-4=a+s-9 \rightarrow a=s+9\]
anonymous
  • anonymous
Let me sort it.
anonymous
  • anonymous
.......
anonymous
  • anonymous
It's fast to do on paper but a pain to do online.
anonymous
  • anonymous
tell me about it...
anonymous
  • anonymous
If you sub. the equation for l (second one) into the first, you should get\[(a+s-5)+s+a=45 \rightarrow s+a=20\]
anonymous
  • anonymous
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).
anonymous
  • anonymous
You now have \[a+s=20\]and\[a-s=9\]
anonymous
  • anonymous
If a=9+s from the second equation here, then putting it into the first, you get\[(9+s)+s=20 \rightarrow 2s=11 \rightarrow s=\frac{11}{2}\]
anonymous
  • anonymous
lol..this is a monster!
anonymous
  • anonymous
Which means, from any of the two equations involving a and s above, for a,\[a=9+s=9+\frac{11}{2}=\frac{29}{2}\]
anonymous
  • anonymous
Now from your perimeter equation, you can solve for l:\[l=45-a-s=45-\frac{29}{2}-\frac{11}{2}=25\]
anonymous
  • anonymous
You're done.
anonymous
  • anonymous
Well, I am...
anonymous
  • anonymous
so it's how many centimeters each?
anonymous
  • anonymous
Just look through - l = 25 cm s = 5.5 cm a = 14.5 cm
anonymous
  • anonymous
crap
anonymous
  • anonymous
crap what?
anonymous
  • anonymous
The correct answers were 8,17, and 20! :(
anonymous
  • anonymous
Now it reformulates a new, but similar problem for me to solve.
anonymous
  • anonymous
Now it's......
anonymous
  • anonymous
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?
anonymous
  • anonymous
Yes a mistake was made. You need to check everything once it's solved but putting it back into the equations.
anonymous
  • anonymous
its the same one! never had that happen before.
anonymous
  • anonymous
so what would be the "mistake free" answer? :)
anonymous
  • anonymous
Well, if it's the same question, you already have the answers - you just posted them!
anonymous
  • anonymous
LOL......DUH!
anonymous
  • anonymous
I didn't even think of that.
anonymous
  • anonymous
Sigh......long day.
anonymous
  • anonymous
Want a shot at another?
anonymous
  • anonymous
Depends, if you give me back my fan point ;)
anonymous
  • anonymous
Fair enough!
anonymous
  • anonymous
Do you have the question?
anonymous
  • anonymous
Yeah, it's a beast.... one sec.....
anonymous
  • anonymous
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....
anonymous
  • anonymous
phew!
anonymous
  • anonymous
Do you just want the answer?
anonymous
  • anonymous
Did you take my point off again? lol
anonymous
  • anonymous
lol...me? Nooooooo! Why would you ask that?! ;)
anonymous
  • anonymous
poor health person = 5015 good health person = 1662
anonymous
  • anonymous
Yes.....I was holding it hostage until you returned. It's back.
anonymous
  • anonymous
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.
anonymous
  • anonymous
She is Kelley29 I think..
anonymous
  • anonymous
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
anonymous
  • anonymous
.............
anonymous
  • anonymous
g=6677-3353=1662
anonymous
  • anonymous
p=3353+ g = 3353 + 1662 = 5015
anonymous
  • anonymous
Ok what her numbers are poor health=3334, good health=6596
anonymous
  • anonymous
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!
anonymous
  • anonymous
you're a star
anonymous
  • anonymous
Whats tha t mean?
anonymous
  • anonymous
It just means I appreciate your offer to get your friend to give me a point.
anonymous
  • anonymous
Lol, i'ts the least I can do!
anonymous
  • anonymous
SO what is it?
anonymous
  • anonymous
what is what?
anonymous
  • anonymous
her answer! lol
anonymous
  • anonymous
U need more info?
anonymous
  • anonymous
I don't have her question - what's her login name?
anonymous
  • anonymous
Just give me a second, I'm just helping someone else too.
anonymous
  • anonymous
Same questions! Hers is Kelley29
anonymous
  • anonymous
Ok n/m some dude just got it for her.
anonymous
  • anonymous
But...we have more. At least a coupla more.
anonymous
  • anonymous
Kelly29 is being helped by blexting.
anonymous
  • anonymous
He/she does a good job.
anonymous
  • anonymous
Ok, well I have more...
anonymous
  • anonymous
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=
anonymous
  • anonymous
It's absolutely ridiculous!
anonymous
  • anonymous
...........
anonymous
  • anonymous
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.
anonymous
  • anonymous
ANd AGAIN........you got it right!
anonymous
  • anonymous
last one here for the night.....i promise.........
anonymous
  • anonymous
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.
anonymous
  • anonymous
It's 430 miles per hour
anonymous
  • anonymous
Ok........the speed of the WIND is?
anonymous
  • anonymous
50, sorry, forgot
anonymous
  • anonymous
50mph?
anonymous
  • anonymous
Ok, can you PLEASE help my friend now.....you rock, and these other guys suck apparently! I will tell her to rock your points! :,)
anonymous
  • anonymous
Thank you very much by the way......I really do appreciate your help.
anonymous
  • anonymous
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.
anonymous
  • anonymous
I understand. You're the best! I hope to see you on here for the next 4 weeks or so.

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