Mathematics High School

Mixture Problem
1. How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?

Answers

Answer 1

Answer:

Amount of active ingredient is 0.04(8+x)= 0.32+0.4x

---------------

EQUATION:

active ingre. + active ingre. = active ingre

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4ML (amount of water that must be added)

Answer 2

The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

8 mL of 6% saline solution to reduce the concentration to 4%.

Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.

The amount of active ingredients is

0.04(8 + x) = 0.32 + 0.4x

Active ingredients + active ingredients  = active ingredients

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4 ml; the amount of water that must be added

Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Related Questions

Solve the following rational equation plz help!!

Answers

Answer:

x = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]

However, x ≠ - 1 for reason given above, then

solution is x = [tex]\frac{9}{4}[/tex]

What is the solution to the system of equations?

{y=5x−10y=−3x+14

Answers

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

Which graphs cannot represent a proportional relationship? Explain how you know.
PLEASE THIS IS DUE AT 11p.m

(i put the other one in the wrong subject)

Answers

B and C
because the lines are not passing through the origin

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

Solve the simultaneous equations
7x – 3y = 24
2x + 3y = 3
x=?
y =?

Answers

Answer:

×=3 y=-1

Step-by-step explanation:

I hope this helps

which method you want cross multiplication method or elimination method of substitution method or general method

If x + 3 = 13, then the value of 5x – 74 is

Answers

Answer:

-24

Step-by-step explanation:

We are given two equations and are asked to solve if one equals a certain amount to the other.

Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?

10 of course, therefore x = 10, and we can implement into the other equation.

5x - 74

Since x = 10, we can substitute x with 10 and then multiply.

5(10) - 74

50 - 74

What is 50 - 74?

-24

Ocean waves crash on the beach at a
velocity of 4.4 m/s. If the distance
between the crest of each wave is 4m,
find the frequency of the waves.

Answers

Answer:

f = 1.1 Hz

Step-by-step explanation:

Given that,

The velocity of an ocean wave, v = 4.4 m/s

The distance  between the crest of each wave is 4 m.

We need to find the frequency of the waves.

The distance between the crest of a wave is called the wavelength of a wave.

The relation between the frequency, wavelength and the velocity of a wave is given by :

[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]

So, the frequency of the waves is 1.1 Hz.

i need help with this equation ASAP pls: If you know that log5 x – logs 12 = 0, which of the following is false?
a. log5 (x – 12) = 0
b. logs (1)
= 0
c. log5 x = logs 12
d. x = 12

Answers

Answer:

the second is false

Step-by-step explanation:

because oe would match unlike 2

Which graph represents the inequality you found in part i.?

Answers

Answer:

Graph A represents the inequality x > 6.

A

Hope this helps have a great day

The average of a list of 4 numbers is 90.0 . A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80 , and the fourth number in the new list is 96 . What is the average of this new list of numbers?

Answers

Answer:

94

Step-by-step explanation:

Average = sum of numbers /  number of items in the set

for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360

If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280

so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376

Average of the new list = 376 / 4 = 94

Find the slope of the line
y=-6/5x + 4/9

Answers

Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?

Answers

Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?

178.18 x 0.25 = 44.55

178.18 - 44.55 = 133.63 = sales price

133.63 x 0.05 = 6.68

133.63 + 6.68 = 140.31 = total price

Step-by-step explanation: That's how I solved it...

these triangles are similar. Find?

Answers

Answer:

4

Step-by-step explanation:

14 pencils cost £3.36. How much would 8 pencils cost?

Answers

Answer:

£1.92

Step-by-step explanation:

3.36/14 will give you the cost of each pencil

£0.24 is the cost of one pencil

8 pencils will cost you £1.92

Simplify:
(8 - 5i) - (-2 +3i)

Answers

Answer:

(3) -(1) = 2i

Step-by-step explanation:

use bomdass

Answer:

Step-by-step explanation:

(8-5i)(2-3i)

using FOIL,

16-34i+15i squared?

Can someone pls help me ? I really need help

Answers

Answer:

its A.56

Step-by-step explanation:

Factor each expression by finding the GCF.

8 + 16 =
8 ( 1 + 16)
2 (4 + 16)
8 ( 1 + 2)
4 (2 + 6)

Answers

8(1+3) and that is that answer easy

Kara ran 5 miles yesterday. She ran again today. Her total distance for
both days is 6.5 miles. If she ran at a pace of 6 miles per hour today,
how long did Kara run today?

Answers

9514 1404 393

Answer:

  15 minutes

Step-by-step explanation:

We can let t represent the time in hours that Kara ran today. Then her distance today is ...

  distance = speed · time

  distance = 6t

Her total distance for both days is ...

  5 + 6t = 6.5

  6t = 1.5 . . . . . . . . . . subtract 5

  t = 1.5/6 = 1/4 . . . . . divide by 6

Kara ran 1/4 hour today. That is 15 minutes.

Mark works at a rock concert selling programs. He is paid $15 for
the night plus 20¢ for each program that he sells. He sells 150
programs. How much does he earn working at the rock concert?​

Answers

Answer:

$45

Step-by-step explanation:

15 + (150 * 0.20)

15 + 30

$45

A fruit punch recipe requires 2 cups of grape juice for every 3 cups of apple juice. How
many cups of apple juice will you need if you use 9 cups of grape juice? Use a double
number line to help you answer the question. (4)

Answers

Answer:

9 cups of grape juice = 10 cups of apple juice.

Step-by-step explanation:

2 cups of grape juice = 3 cups of apple juice

9 cups of grape juice = ? cups of apple juice

9-2=7 cups of grape juice

3+7=10 cups of apple juice

9 cups of grape juice = 10 cups of apple juice.

what is the slope of (4,6) and (-6,2)​

Answers

Answer:

2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

simplify

m=2/5

Answer:

Step-by-step explanation:

Slope is m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

m=2/5


Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

In this question, we can use the Pythagorean theorem to solve for x.

11^2 + x^2 =24^2

x^2 = 24^2 -11^2

x is about 21.3

Let me know if this helps!

1) A basketball player made 13 out of every 20 free-throws. How many
free-throws does he make out of every 100 attempts?

Answers

Answer:

20*5=100

So it would be 13*5=65

Step-by-step explanation:

Variable Terms in 3x + 2 – 10 – 3x

Answers

Answer:

X

Step-by-step explanation:

because its the varible term

1 + 3/4 =? trying to figure this out!

Answers

Answer:

1.75 as a decimal or 1 3/4 as a mixed number

Help PLEASE!!!! Slope

Answers

Answer:

(We don’t have a picture so i’ll remind you about how to solve it.)

Step-by-step explanation:

Slope is rise over run. You find a point of the graph where the line goes through. Look for a 2nd point on the graph where the line goes through a point.  Count up, and to the side and you have your answer :)

I need help with this

Answers

Hello! So the first thing you want to do is fix the triangles so they are in the same rotation (you can tell which point goes where by matching the points of Trangle PQR to Triangle STU). Next, it’s a matter of addition and subtraction. You add the two known angle measures (46 and 70) and then subtract it from the total degrees a triangle has (180). You should then get 64 as your answer. Hope this helps :)

Can somebody plz help write the equation for each question correclty thanks :D
(Only if u done these before) :3

WILL MARK BRAINLIEST :DD

Answers

Answer:

1. 482

2. 60

HOPE THIS HELPS YOU

Answer

20. 470 = x - 12 (Solving for X: There was 482 pages before decreasing by 12)

21. 65 = x + 5  (Solving for X: There was 60 pages read before reading 5 more)

Find the area of the rectangle

Answers

A = wl
A = (5)(7)
A = 35

Step-by-step explanation:

Length : 7cm

Breadth : 5cm

Area of a rectangle :

Length × Breadth

[tex]Area = 7cm \times 5cm \\ = 35 {cm}^{2} [/tex]

HELP ME PLEASE!!!!ITS DUE TODAY!!

Answers

Answer:

234

Step-by-step explanation:

1950 x 0.88 = 1716 paid

1950-1716 = 234

Can someone help me with real numbers

Answers

Answer:

Answer is on the pic

Explanation:

I hope it's helpful!

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