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
Tema [17]
3 years ago
8

A scientist needs to make 2 liters of saline solution (salt water), in which the salt level must be at 15% concentration (meanin

g 15% of the water is salt). Unfortunately, the scientist only has two types of saline solution in his possession. He has saline solution with a 10% concentration level and saline solution with a 35% concentration level.
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

We need 1.6 liters of the 10 % concentration level and saline solution  and 0.4 liters of the 35 % concentration level and saline solution.

Step-by-step explanation:

Let V₁ be the volume of the 10% concentration saline solution required and V₂ be the volume of 35% concentration saline solution required.

Since mass = concentration × volume, the total mass of the 10% and 35% volume saline solution equal the mass of the 2 liter 15% volume solution.

So, 0.1V₁ + 0.35V₂ = 2 × 0.15

0.1V₁ + 0.35V₂ = 0.3 (1)

Also, the total volume of the 15 % solution must equal 2 liters. So,

V₁ + V₂ = 2 (2)

V₁ = 2 - V₂  (3)

putting equation (3) into equation (1), we have

0.1(2 - V₂) + 0.35V₂ = 0.3

0.2 - 0.1V₂ + 0.35V₂ = 0.3

we now collect terms, so

- 0.1V₂ + 0.35V₂ = 0.3 - 0.2

0.25V₂ = 0.1

we now divide through by 0.25, so

V₂ = 0.1/0.25

V₂ = 0.4   liters  

we now put V₂ into (3), we have,

V₁ = 2 - 0.4  

V₁ = 1.6 liters

So, we need 1.6 liters of the 10 % concentration level and saline solution  and 0.4 liters of the 35 % concentration level and saline solution.

You might be interested in
In a game, a player earns 100 points for each question answered correctly and earns -30 points for each question answered incorr
REY [17]

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B)  The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

Learn more about Linear Equations here :

brainly.com/question/14989092

#SPJ1

6 0
1 year ago
A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ro
Sever21 [200]

Answer:

<em>4,524 gallons</em>

Step-by-step explanation:

The volume of any cylinder is 

 π (radius)² (height) .

The pool's radius is 1/2 its diameter = 8 ft.  So its volume is

 π (8 ft)² (3 ft)

= π · (64 ft²) · (3 ft)

= π · 192 ft³

= 603.2 ft³ .

(603 ft³) · (7.5 gal / 1 ft³) = 4,524 gallons

Hope this helps :D

8 0
3 years ago
Read 2 more answers
Find the product of f(x)=3 and g(x)=x+7
DaniilM [7]
F(x)=3 domain: negative infinity, positive infinity range: 3

g(x)=x+7 domain: - infinity, + infinity range: - infinity, + infinity
8 0
2 years ago
What are some expressions equivalent to 12x + 4?
Vanyuwa [196]
12x + 4

divide 4 from each monomial

12x/4 = 3x
4/4 = 1

4(3x + 1) is a equivalent expression.


hope this helps
5 0
3 years ago
Read 2 more answers
The local Farm Market sells peppers at five for $2.00. What would be the cost of 12 peppers?
expeople1 [14]

Answer:

4.8

Step-by-step explanation:

Each pepper sells for 0.40 cents

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the product in simplest form x^2+9x+18/x+2 times x^2-3x-10/x^2+2x-24
    7·2 answers
  • How does solving linear inequalities compare with solving linear equations?
    9·1 answer
  • Find the experimental probability of rolling a 4
    5·1 answer
  • P= 14.63 - 0.84<br> Help me
    14·2 answers
  • Zipora wants to construct a triangle that has the following angle measures: 50°, 75°, and 55°. How many triangles can she make?
    6·2 answers
  • 800 building blocks is 10 times as much as 80 _____ blocks.
    14·2 answers
  • AC=3x+3, AB=-1/2x and BC=11
    14·1 answer
  • If 1 droplet of water falls from a pipe every 10 seconds. How many droplets of water would have fallen from the pipe in 10 minut
    9·2 answers
  • Which expression is equivalent to x2 – 26x + 120?
    13·1 answer
  • A pole that is 3.3m tall casts a shadow that is 1.04 m long. At the same time, a nearby tower casts a shadow that is 41.5m long.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!