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
UNO [17]
2 years ago
8

You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add t

o obtain the desired solution?
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0

Answer:

Pure water =74.1 mL

Step-by-step explanation:

You need 420 mL of a 70% alcohol solution.

420 mL of solution and 70% of it should be alcohol.

So,

420 * 70/100 mL

= 420 * 0.7

= 294 mL of alcohol and the rest should be water.

On hand, you have a 85% alcohol mixture.

The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:

Let

y = alcohol solution needed

85% of y = 294

85/100 * y = 294

y = 294 ÷ 85/100

y = 294 × 100/85

y = 29,400/85

y = 345.88235294117

Approximately, 345.9mL

The rest of 420 mL solution has to be pure water

Pure water = 420 mL - 345.9mL

= 74.1 mL

Pure water =74.1 mL

You might be interested in
If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).
NemiM [27]

Cosine is \frac{hypotenuse}{adjacent}.

Apply the equation:

sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2}  = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2

B is the adjacent side so

cosine is:

Cos(t) = 5/2

Have a great day,

And I hope this helps you!

5 0
2 years ago
Which must be true in order for the relationship △ZYV ~ △XWV to be correct?
tigry1 [53]

Hey there!

In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.

This means...

∠Z≅∠X

∠Y≅∠W

∠V≅∠V

Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.

For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.

For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.

For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y

Therefore, our answer is D) ∠Z≅∠X and  ∠W ≅ ∠Y.

I hope this helps!

3 0
2 years ago
Read 2 more answers
How would you shift the function
Otrada [13]

I believe that the answer would be:

g(x) = 12x + 17  

5 0
2 years ago
A small company plans to invest in a new advertising campaign. There is a 20% chance that the company will lose $5,000, a 50% ch
Viktor [21]

A small company plans to invest in a new advertising campaign.

There is a 20% chance that the company will lose $5,000 ,

50% chance of a break even, and a 30% chance of a $10,000 profit


So the expected value from the advertisement campaign is calculated as - 20% of 5000 + 0% of 5000 + 30% of 10,000

= -1000 + 0 + 3000

= 2000


The expected value from the advertisement campaign is $2000.

So the Company must go ahead with the campaign.


Answer : Option A


Hope it helps.


Thank you ..!!

3 0
3 years ago
5) One restaurant charges $7 per person and $1 admission fee. A second compant Charges $5 per
Assoli18 [71]

The people will there need to be in order for the second company to be less expensive in 1st restaurant.

Always assume the unknowns are variables when attempting to find them, and then construct the equation using the parameters specified in the question.

Admission fee for 1st restaurant = $1

Charge for 1st restaurant per person = $7

Admission fee for 2nd restaurant = $15

The number of employees required for 2nd restaurant need to have in order to be less expensive = x

Total amount needed for 1st restaurant = $1 + $7 = $8

To make the 2nd restaurant less expensive =

As the total amount of 1st restaurant is $8 and the admission fee 2nd restaurant itself is $15 2nd restaurant is more expensive than the 1st one.

To learn more about Word problems related to arithmetic operation from the link:

brainly.com/question/24464054

#SPJ9

5 0
1 year ago
Other questions:
  • Algebra 2 help please!!!!!
    11·1 answer
  • CAN SOMEONE HELP ME PLEASEEE
    14·2 answers
  • Una casa de ropa tiene todos sus artículos en liquidación por cambio de temporada. El cartel de la puerta dice: 20% de descuento
    15·1 answer
  • Please help i need<br> help
    13·1 answer
  • What metric unit is best used for the length of a car?
    8·1 answer
  • HELP ME ASAP TO DO THE MATH
    15·1 answer
  • Anna earned 22 points on her last test. If there were 40 possible points, what was her percent grade?
    15·1 answer
  • (2x^2-4xy+2y)(3x-4)<br><br> help solve! please show steps.
    6·1 answer
  • What is the largest power of 2 that is a divisor of 13^4 - 11^4?
    5·2 answers
  • adam bought abox of fruit that weighed 6 3/8 kilograms if he bought a second box that weighed 7 2/5 kilograms ,what is the combi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!