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
Digiron [165]
2 years ago
6

Gave needs 60 liters of 40% acid solution he currently has 20% solution and 50% solution how many liters of each does he need to

make the needed 60 liters of 40% acid solution
Mathematics
1 answer:
Rudiy272 years ago
7 0
\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentration\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{20\% sol'n}&x&0.20&0.20x\\
\textit{50\% sol'n}&y&0.50&0.50y\\
-----&-----&-------&-------\\
mixture&60&0.40&(60)(0.40)
\end{array}

notice above...  we use the decimal format for the percentage, thus 20% is really just 20/100, 40% is 40/100 and so on.

so.. whatever "x" and "y" amounts are, we know they have to add  up to 60 Liters, that is x+y = 60

and whatever the concentration amount of each is, it must add up to (60)(0.40), that is 0.20x+0.50y=(60)(0.40)

thus    \bf \begin{cases}
x+y=60\implies \boxed{y}=60-x\\\\
0.20x+0.50y=(60)(0.40)\\
----------\\
0.20x+0.50\left( \boxed{60-x} \right)=(60)(0.40)
\end{cases}

solve for "x", to see how much of the 20% solution will be needed

what about "y"?  well, y = 60 - x
You might be interested in
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
3 years ago
E is 3 more than d.<br> f is 5 less than d.<br> Write an expression for e in terms of d
Nataly_w [17]

Answer:

Part A:

We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D

Therefore:

E = D + 3

Part B:

We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D

Therefore:

F = D - 5

Part C:

To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A

Therefore:

E - F = (D+3) - (D-5)

E - F = D + 3 - D + 5

E - F = 8

Hope this helps :)

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP ME............THANKS
Stolb23 [73]

Answer:

i think it's c, I could be wrong djxndnxmmx

6 0
3 years ago
Read 2 more answers
Trejon rides his bike 2 1/4 miles each day. Which equation can be used to find r, the number of miles he will ride in 8 days?​
LiRa [457]

Answer:

you got this sound from the human body for you so much I was wondering what to say I'm sorry I'm not going anywhere you want to go get me on snap now I got you can do this is the best of

8 0
3 years ago
What is the slope of the line x=5
Andre45 [30]
The slope would go vertically starting it at 5. you place your dot at 5 and draw a line going up and down throughout both the top and bottom of the right side of the graph. hope it helped
5 0
3 years ago
Other questions:
  • Suppose u=&lt;2,−1&gt; and v=&lt;1,−8&gt; are two vectors that form the sides of a parallelogram. Then the lengths of the two di
    15·1 answer
  • PLEASE HELP ME FIND THE LENGTH
    8·2 answers
  • Find the volume of the solid whose base is the circle x^2+y^2=64 and the cross sections perpendicular to the x-axis are triangle
    6·1 answer
  • Please help with this, I do not have a graphing calculator at the moment
    6·1 answer
  • Please help Determine the equation of the graph, and select the correct answer below. graph at -3,2 y = (x + 3)2 − 2
    14·2 answers
  • Which is the graph of g(x) = [X +3]?<br> 32-1.
    10·1 answer
  • 2g +11 &lt;45 what is G?
    7·2 answers
  • Factor the expression.<br> = 28x– 14
    8·1 answer
  • You drinking soda while playing a video game. You drank 4 full drinks over 3 1/3 rounds. If you drank the same amount each round
    5·1 answer
  • I need the correct answer please I will give you the options as well
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!