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
katovenus [111]
3 years ago
6

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

r bottle of 5% hydrochloric acid solution and a 1-liter bottle of 45% hydrochloric acid solution. How many liters of the 5% hydrochloric acid and the 45% hydrochloric acid solutions should Rajan combine to make 1 liter of a solution that is 15% hydrochloric acid?
Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

You might be interested in
Please help! 5 Points. Hurry!
larisa [96]
<h2>Answer:</h2>

<u>The correct option is 3x + 4y = 10</u>

<h2>Step-by-step explanation:</h2>

The standard form for any linear equations having two variables is written as Ax+By=C. For example, 3x+4y=10 is a linear equation in standard form. When an equation is given in this form, it becomes easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations whose solution is required to find the point of intersection of given lines.

7 0
3 years ago
Which statement is correct? (If you can answer 1 and 3 it would help a lot too)
Lera25 [3.4K]

Answer:

the answer is 3 because 1x3=3

5 0
2 years ago
Solve the inequality.
Dima020 [189]

Answer:

Step-by-step explanation:

x + 8 < - 28

x < - 28 - 8

x < - 36

Option A is the correct answer

3 0
2 years ago
The school cafeteria holds 200 people there are 25 tables that each fit the same number of people write an expression and then s
daser333 [38]

Answer:

Am I stupid or is the answer 8?

Step-by-step explanation:

200/25=8

7 0
3 years ago
What appears to be the range of the part of the exponential function graphed on the grid?
Natali [406]

The domain of a function is the set of x values for which it is defined. The range of the given graph will be -2≤x<7.

<h3>What is the domain and range of a function?</h3>

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

As it can be seen that the value on the y-axis is defined for every value of x between -2 to 7, also the value of x  is also defined for x=-2.

Hence, the range of the given graph will be -2≤x<7.

Learn more about Domain and Range:

brainly.com/question/1632425

#SPJ1

6 0
1 year ago
Other questions:
  • A finance company offers a 36-month installment loan with an APR of 10.5%. Jerry wishes to use the loan to finance an engagement
    12·1 answer
  • Help I don’t know how to figure this problem out
    15·1 answer
  • What is the inverse of f(x)= 1/4x- 7
    5·1 answer
  • How to simplify 29/15.
    5·1 answer
  • A fitness club offers two membership plans.
    10·1 answer
  • What is (-x+3)-(x-5)
    8·2 answers
  • AT LEAST how many cubes like this one need to be joined together to form another LARGER SIZED CUBE?
    9·2 answers
  • I’m not good with these somebody please help me
    14·1 answer
  • Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?
    12·1 answer
  • Find the volume of the following compound shape.<br>​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!