anonymous
  • anonymous
Part A: Solve A = 9 over 2(x + 28) for x. Part B: Determine the value of x when A = 135. Part C: Solve –np – 40 > 10 for n. Show your work.
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[A= \frac{ 9 }{ 2 } \left( x + 28\right)\]
anonymous
  • anonymous
@zepdrix can you help me with this?
Vocaloid
  • Vocaloid
part A: "solve for x" means we want to get x by itself start by multiplying both sides of the equation by 2 to eliminate the denominator

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More answers

anonymous
  • anonymous
A2=? (x + 28)
zepdrix
  • zepdrix
\[\large\rm A=\frac{9}{2}\left(x+28\right)\]Multiplying both sides by 2 gives you,\[\large\rm 2\cdot A=2\cdot\frac{9}{2}\left(x+28\right)\]Don't think of that 2 as a denominator, think of the operation being performed. It's actually division by 2. So we're multiplying and dividing by 2 on the right side of the equation. Those actions will "cancel out".\[\large\rm 2\cdot A=\cancel{2}\cdot\frac{9}{\cancel{2}}\left(x+28\right)\]
zepdrix
  • zepdrix
Which puts you here,\[\large\rm 2A=9(x+28)\]
anonymous
  • anonymous
divide by 9 and then subtract 28? @zepdrix
anonymous
  • anonymous
\[\frac{ A2 }{ 9 }-28=x\]
zepdrix
  • zepdrix
Ahh sorry had to go make some food +_+
zepdrix
  • zepdrix
Looks good!
anonymous
  • anonymous
2! the answer to B it x = 2!
zepdrix
  • zepdrix
yay good job \c:/
anonymous
  • anonymous
:DD
anonymous
  • anonymous
-np - 40 > 10 add 40 first or...
zepdrix
  • zepdrix
Yah, that seems like a good first step
anonymous
  • anonymous
-n > 50/p but what about that minus sign?
zepdrix
  • zepdrix
I guess you'll want to divide each side by -p, not simply p. Do you remember what happens when you divide a negative across an inequality?
anonymous
  • anonymous
the inequality flips
zepdrix
  • zepdrix
yessss
anonymous
  • anonymous
n < 50/-p
zepdrix
  • zepdrix
Ok great! Let's bring the negative sign out front because \(\large\rm \frac{50}{-p}\) is the same as \(\large\rm \frac{-50}{p}\) which is the same as \(\large\rm -\frac{50}{p}\). It doesn't really matter where the negative goes, it just looks nicer in front like this form.
anonymous
  • anonymous
ok. do you have time for one more question?
zepdrix
  • zepdrix
sure!
anonymous
  • anonymous
Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water. Part A: Write an equation in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation. Part B: How many liters of lemon juice are present in the bottle? Show your work. This one is really confusing to me.
zepdrix
  • zepdrix
Mmm I remember this one coming up like 6 months ago, confused me also lol gimme a sec XD
anonymous
  • anonymous
ok :)
anonymous
  • anonymous
im not so smart
zepdrix
  • zepdrix
Oh oh oh oh oh.. ok now I remember why I got confused on this one. Make sure you understand the second sentence. It's NOT saying that bottle contains 1Liter of liquid. It contains 1Liter of water. They're not telling us how much total liquid is in the bottle.
zepdrix
  • zepdrix
So umm
anonymous
  • anonymous
Ok, i see how that can get you!
zepdrix
  • zepdrix
Ok if lemon juice accounts for 60% of the liquid in the bottle, what % does that leave for water?
anonymous
  • anonymous
40%
zepdrix
  • zepdrix
Good good good. and I think we can use thattttt :) sec, brain ... not... working lol
anonymous
  • anonymous
lol
zepdrix
  • zepdrix
The `amount` of water is 1Liter. So this 1Liter accounts for 40% of the total Liquid in the bottle. \(\large\rm 1L=.40T\) So how much total liquid is in the bottle? Can you solve this algebraically? (Ignore the L, that's just a unit).
anonymous
  • anonymous
Darude-Sandstorm
anonymous
  • anonymous
1.40L
anonymous
  • anonymous
t
zepdrix
  • zepdrix
Woops! The 40% is `multiplying` the Total. So to isoluate your total, T, you'll need to divide.
zepdrix
  • zepdrix
isolate*
anonymous
  • anonymous
2.5
zepdrix
  • zepdrix
Good good good. We've determined that the total amount of liquid in the bottle is 2.5Liters. The lemon juice accounts fo 60% of that total. So we can again set this up algebraically:\[\large\rm \ell=.60T\]And since we've solved for the total, T, we can plug it right in,\[\large\rm \ell=.60\cdot 2.5\]And solve for l, the amount of lemon juice in the bottle.
zepdrix
  • zepdrix
Do those steps.... kinda make sense? 0_o It's a tricky problem to get through.
anonymous
  • anonymous
1.5
anonymous
  • anonymous
1.5=.60*2.5
zepdrix
  • zepdrix
Good! :) So there is: 1Liter of water which is 40% of the total liquid 1.5Liter of lemon juice which is 60% of the total liquid 2.5Liters of total liquid which is 1 + 1.5
zepdrix
  • zepdrix
Yayyy I think we did it \c:/
anonymous
  • anonymous
Thank you so much for all your help today! I really understand it better too.
zepdrix
  • zepdrix
np \c:/ yay team!

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