1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Thepotemich [5.8K]
2 years ago
6

A chemist has three different acid solutions. The first acid solution contains

Mathematics
1 answer:
Debora [2.8K]2 years ago
6 0

Let x,y,z denote the amounts (in liters) of the 20%, 30%, and 60% solutions used in the mixture, respectively.

The chemist wants to end up with 72 L of solution, so

x+y+z=72

while using twice as much of the 60% solution as the 30% solution, so

z = 2y

The mixture needs to have a concentration of 35%, so that it contains 0.35•75 = 26.25 L of pure acid. For each liter of acid solution with concentration c\%, there is a contribution of \frac c{100} liters of pure acid. This means

0.20x + 0.30y + 0.60z = 26.25

Substitute z=2y into the total volume and acid volume equations.

\begin{cases}x+3y = 72 \\ 0.20x + 1.50y = 26.25\end{cases}

Solve for x and y. Multiply both sides of the second equation by 5 to get

\begin{cases}x+3y = 72 \\ x + 7.50y = 131.25\end{cases}

By elimination,

(x+3y) - (x+7.50y) = 72 - 131.25 \implies -4.50y = -59.25 \implies \boxed{y=\dfrac{79}6} \approx 13.17

so that

x+3\cdot\dfrac{79}6 = 72 \implies x = \boxed{\dfrac{65}2} = 32.5

and

z=2\cdot\dfrac{79}6 = \boxed{\dfrac{79}3} \approx 26.33

You might be interested in
Help if your good at maths
tekilochka [14]

Let's make another angle y

Where y= 51° (corresponding angles )

and x+y= 180°. ( linear pair )

x+51°= 180° (y=51°)

x=180°-51°

x= 129°

<u>So the value of x is 129</u>°

Hope you got your answer !

4 0
3 years ago
Read 2 more answers
PLEASE PLEASE PLEASE HELP I WIL GIVE BRAINLIEST<br> ALSO PLS SHOW WORK
Tasya [4]
3 5/6 I took the test
5 0
3 years ago
Read 2 more answers
Rewrite the expression in the form y^n
bazaltina [42]

Answer:

$ y^6 $

Step-by-step explanation:

$ \frac{a^b}{a^c} = a^{b - c} $

Using this rule we have:

$ \frac{y^{-7}}{y^{-13}}  = y^{-7 -(-13)} = y^6$

6 0
3 years ago
Read 2 more answers
Consider the table of the powers of 8.
garri49 [273]
C loser that’s the correct number
8 0
2 years ago
Help me please explain do not need work just explain THANK YOU I NEED HELP
Mnenie [13.5K]
Alright, 

you will need to solve for each variable to find if they got the equation correctly or not.. 

Let's start with h 
isolate h 
(1/2)h = A/(b1+b2)
Now we need to get rid of 1/2 we may do so by multiplying both sides by 2 

h = 2(A/(b1+b2))

And that's not how they did it for h so Option D doesn't apply 


Let's see C
Also doesn't apply since they multiplied 2 only by A rather than A/h

Let's see B
Also not correct they made the same mistake as with option C

Let's see A
again same mistake 
when multiplying both sides by 2 
the 2 should be as following 
2\frac{A}{h}

I believe you should contact your instructor and explain that non of the options is right. 

6 0
3 years ago
Other questions:
  • Complete the steps to find 3.18x10
    14·2 answers
  • What is the quotient for the equation above?
    9·2 answers
  • Which of the following measurements could be the side lengths of a right triangle? A. 66 in, 88 in, 110 in
    12·1 answer
  • What equivalent expression is equal to this<br><br><br>(2^-4*2^-3)^5
    6·1 answer
  • Gina is a salesperson at a furniture store. She earns 2,500 per month plus a commission of 12% on an all her sales. In order to
    15·1 answer
  • A tree is 25 7/12 feet high. Richard cuts off the top 8 7/8 feet. How tall is the tree now?
    15·2 answers
  • If the area of your garden is ( d^2 -16 ) and the length is (d+4
    12·1 answer
  • During his shift at Pennant Sports Shop, Sam compared the items sold during last weekend's sale. There were 25 lacrosse sticks s
    8·1 answer
  • the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she
    8·1 answer
  • What is formula for Standard Deviation (σ)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!