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anonymous
 one year ago
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.
anonymous
 one year ago
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.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[A= \frac{ 9 }{ 2 } \left( x + 28\right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@zepdrix can you help me with this?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1part 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

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\large\rm A=\frac{9}{2}\left(x+28\right)\]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
 one year ago
Best ResponseYou've already chosen the best response.2Which puts you here,\[\large\rm 2A=9(x+28)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0divide by 9 and then subtract 28? @zepdrix

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ A2 }{ 9 }28=x\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Ahh sorry had to go make some food +_+

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02! the answer to B it x = 2!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0np  40 > 10 add 40 first or...

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Yah, that seems like a good first step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0n > 50/p but what about that minus sign?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2I 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
 one year ago
Best ResponseYou've already chosen the best response.0the inequality flips

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Ok 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
 one year ago
Best ResponseYou've already chosen the best response.0ok. do you have time for one more question?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Bruce 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
 one year ago
Best ResponseYou've already chosen the best response.2Mmm I remember this one coming up like 6 months ago, confused me also lol gimme a sec XD

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Oh 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, i see how that can get you!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Ok if lemon juice accounts for 60% of the liquid in the bottle, what % does that leave for water?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Good good good. and I think we can use thattttt :) sec, brain ... not... working lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2The `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).

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Woops! The 40% is `multiplying` the Total. So to isoluate your total, T, you'll need to divide.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Good 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
 one year ago
Best ResponseYou've already chosen the best response.2Do those steps.... kinda make sense? 0_o It's a tricky problem to get through.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Good! :) 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
 one year ago
Best ResponseYou've already chosen the best response.2Yayyy I think we did it \c:/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much for all your help today! I really understand it better too.
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