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. (5 points) Part B: How many liters of lemon juice are present in the bottle? Show your work. (5 points)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Who can answer a question of mine?
anonymous
  • anonymous
It has two parts
anonymous
  • anonymous
@robtobey

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anonymous
  • anonymous
@Vocaloid @welshfella
welshfella
  • welshfella
if there is 60 5 lemon juice what percentage of water is in the mixture?
welshfella
  • welshfella
* 60 %
anonymous
  • anonymous
40%
welshfella
  • welshfella
right so if there is a total of x liters in the bottle we have 0.4x = 1 because theer is 1 liter of water
welshfella
  • welshfella
solve this for x
anonymous
  • anonymous
Uh, 2.5?
welshfella
  • welshfella
yep
anonymous
  • anonymous
So what would the equation look like?
welshfella
  • welshfella
theres a total of 2.5 liters of the mixture in the bottle Part B volume of lemon juice = 0.6 * 2.5
welshfella
  • welshfella
the equation is 0.4x = 1
welshfella
  • welshfella
where x is the volume of lemon juice+ water
anonymous
  • anonymous
What does the * stand for again?
welshfella
  • welshfella
multiply
anonymous
  • anonymous
Oooh I see. So I need to multiply 0.6 and 2.5?
welshfella
  • welshfella
yes
anonymous
  • anonymous
... 1.5
welshfella
  • welshfella
60% = 0.6
welshfella
  • welshfella
thats correct 1.5 liters of lemon juice are in the mixture
anonymous
  • anonymous
Awesome! Ya think you can help me with one more?
anonymous
  • anonymous
Emily uses her college photocopier machine to photocopy at the rate of $0.08 per page. She decides to rent a photocopier machine for $90 a year. The cost of photocopying using the rented machine is $0.03 per page. Part A: Write an inequality that can be used to calculate the number of pages that Emily should photocopy in a year so that the amount she pays for the rented machine is less than the college machine. Define the variable used. (5 points) Part B: How many pages should Emily print in a year to justify renting the photocopier? Show your work. (5 points)
welshfella
  • welshfella
Sorry No I have to go right now,
anonymous
  • anonymous
Oh alright. Thank you!
anonymous
  • anonymous
@nincompoop @Hero
Hero
  • Hero
Answered that photocopy question years ago.
anonymous
  • anonymous
Huh?
Hero
  • Hero
Good luck finding it
anonymous
  • anonymous
... You're not going to help me..?
anonymous
  • anonymous
?
Hero
  • Hero
Do you have an idea Of how to set it up?
anonymous
  • anonymous
Not one bit. Never really understood inequalities.
Hero
  • Hero
What We want: Cost of rented photocopier < Cost of college photocopier
anonymous
  • anonymous
Right.
Hero
  • Hero
The cost of both are given in the problem . All you have to do is write the appropriate expression for each
Hero
  • Hero
what is the cost of the rented photocopier?
anonymous
  • anonymous
That's what I need most help with
anonymous
  • anonymous
$90
Hero
  • Hero
What does the last sentence of the first paragraph say?
anonymous
  • anonymous
.03 per page
Hero
  • Hero
Yes,µ+ we don't know how many pages gµ will have to photocopy in order for the price of photocopying using the rented machine to be less than that of the College machine.
Hero
  • Hero
So we should let ''per Page" represent x
Hero
  • Hero
So the cost of photocopying using the rented machine is represented by .03x
Hero
  • Hero
Actually yes 90 + .03x is correct
Hero
  • Hero
Which means the cost for photocopying using the college machine is...?
anonymous
  • anonymous
3000
Hero
  • Hero
Where does 3000 come from?
anonymous
  • anonymous
I divided 90/.03
Hero
  • Hero
For what reason?
anonymous
  • anonymous
Wait, was I supposed to solve 90 + .03x?
Hero
  • Hero
What was the last thing I asked you to find?
anonymous
  • anonymous
The cost for photocopying with the rented copying machine
Hero
  • Hero
We found the expression for the cost of using the rented machine already.
Hero
  • Hero
What is the cost for using the other machine?
anonymous
  • anonymous
Oh oops 0.08
Hero
  • Hero
0.08x
Hero
  • Hero
So knowing this, how should We setup the inequality?
anonymous
  • anonymous
I don't know; it only says the cost per page.
Hero
  • Hero
Remember we want cost of rented machine < Cost of college machine
Hero
  • Hero
Replace each with their appropriate expressions.
anonymous
  • anonymous
... Not sure
Hero
  • Hero
The cost per page adds UP to the total cost of using each machine.
Hero
  • Hero
If you have something like 200 pages worth Of stuff to photocopy, it's going to cost More than just $0.08
anonymous
  • anonymous
One second...
anonymous
  • anonymous
So for part A, we need to find an amount of pages that will be cheaper with the rented copier?
anonymous
  • anonymous
Hello?
anonymous
  • anonymous
@Hero
Bossvideogamer21
  • Bossvideogamer21
@hero is offline now
anonymous
  • anonymous
How'd you know? @Bossvideogamer21
Bossvideogamer21
  • Bossvideogamer21
because i looked at his profile it says he's offline
anonymous
  • anonymous
Oh.

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