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
william made 1/2 a gallon of lemonade to divide equally among 3 people. how much lemonade will they get?
tatuchka [14]
Hoi..
1/6 gallon all u need to do is divide
6 0
3 years ago
Read 2 more answers
the amount of money in an account with continuously compounded interest. calculated to the nearest tenth of a year how long it t
pentagon [3]
You will need this formula:
Years = ln (Total / Principal) / rate
(where "ln" means natural logarithm)
and we'll use $100 and $200 for beginning and ending amount
Years = ln (200 / 100) / rate
Years = 0.69314718056 / .052
Years = <span> <span> <span> 13.3297534723 </span> </span> </span>
Rounding to the nearest tenth of a year:
Years = <span> <span> <span> 13.3

Source:
http://www.1728.org/rate2.htm

</span></span></span>

6 0
3 years ago
Angelique throws a different six-sided dice 120 times.
Alja [10]

The experimental probability of getting a multiple of 3 is \frac{3}{8}.

Given that, Angelique throws a different six-sided dice 120 times.

<h3>What is Probability in maths?</h3>

Probability denotes the possibility of something happening. It's a field of mathematics that studies the probability of a random event occurring. From 0 to 1, the value is expressed. Probability is a mathematical concept that predicts how likely occurrences are to occur.

We know that, Probability  of an  event=\frac{Number  of favourable  outcomes}{Total number  of outcomes}

Number of favourable outcomes =21+24=45

Total number of outcomes = 120

Probability of getting a multiple of 3=\frac{45}{120} =\frac{3}{8}

Therefore, the probability of getting a multiple of 3 is \frac{3}{8}.

To know more about probability visit:

brainly.com/question/11234923

#SPJ1

7 0
2 years ago
283,573 to the nearest ten thousand
salantis [7]

283,573 rounded to the nearest ten thousand is 280,000
8 0
3 years ago
Read 2 more answers
Our schools swimming pool is 25 meters long. If our coach wants us to swim 3 kilometers, how many lengths of the pool will we ne
liubo4ka [24]
1 kilometer= 1000 meters
3x1000= 3000 meters
3000/ 25= 120 pool lengths
7 0
3 years ago
Other questions:
  • Translate this word phrase into a variable expression. 25 decreased by the sum of 6 and a number
    15·2 answers
  • Elsie and her friends plan to drive 1048 miles during their road trip. How many gallons of gas will they need for this trip?
    15·1 answer
  • PLEASE HELP AND SHOW WORK !!
    12·1 answer
  • You have $15 to spend on school supplies. after buying 3 erasers, you have $10.50 left. how much did each eraser co
    7·1 answer
  • I need help on 22 please .~.
    14·1 answer
  • I need Math Help PLEASE!<br><img src="https://tex.z-dn.net/?f=3%20%7Ba%7D%5E%7B2%7D%20%20%20%5Csqrt%7Ba%7D%20%20%20%5Cdiv%208%20
    13·1 answer
  • 4 percent of all cars produced on a Monday are deficient, while 3 percent of Friday's production is deficient; on all other days
    14·1 answer
  • Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4
    10·1 answer
  • Jamie draws a triangle he says two of my three angles are obtuse
    13·1 answer
  • Find the distance between (-3,5) and (6,4). Round your answer to the nearest hundredth.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!