How much water must be added to 1 liter of a 5% saline solution to get a 2% saline solution?

Answers

Answer 1

Answer:

- 1,5 liters

Step-by-step explanation:

If  1 liter has 5% of saline solution, we know that our solution has 2,5 times the salt we want it to have: [tex]\frac{5\%}{2\%} =2.5[/tex], which means that, in the liter of water, there is an amount of salt that is 1,5 greater than what is desired.Then, if we want to lower the concentration of salt, we just have to add water. How much water? 1.5 liters. Then, 5% of solution divided in 2.5 liters of water yields in a 2% solution.
Answer 2

Answer:

The water must be added to 1 liter of a 5% saline solution to get a 2% saline solution is 1.5 litres

Explanation:

We assume that the quantity of water added to be x litres. The quantity of saline in the existing solution is 5% of 1litre = 0.05 litres, with the addition of water, the quantity of new solution becomes (1 + x) litres. As per the problem, the percentage of saline in new solution should be equal to 2%. Therefore,

[tex]\frac{0.05}{1+x} \times 100=2[/tex]

So, 5 = 2(1+x)

2x = 5 - 2

[tex]x=\frac{3}{2}=1.5[/tex]

So, 1.5 litres water should be added to make the 1litre 5% saline solution a 2% saline solution.


Related Questions

Alice wants to buy 3 pounds of veal at the grocery store, but the scales at the store only show weight in kilograms. If one kilogram is 2.20 pounds, how many kilograms of veal should Alice buy?

Answers

Alice should buy 1.36 kilograms of veal.

Step-by-step explanation:

Given,

According to store's scale;

2.20 pounds = 1 kilogram

1 pound = [tex]\frac{1}{2.20}\ kg[/tex]

As Alice wants to buy 3 pounds, therefore,

3 pounds = [tex]\frac{1}{2.20}*3\\[/tex]

[tex]3\ pounds = \frac{3}{2.20}\\3\ pounds = 1.36\ kg[/tex]

Alice should buy 1.36 kilograms of veal.

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Answer:

1.36

Step-by-step explanation:

she wants to buy 3 pounds of veal

we multiply 3 pounds by 1 kg/2.20 lbs

we get 1.36 pounds

If Johnny has 22 biscuits and Lucy has 5 how many biscuits does Ruby have?

Answers

Answer:

Ummmmm none I guess

Step-by-step explanation:

rawr

Answer: 27

Step-by-step explanation: bc thats what some random persons teacher said.

Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of y. Do not include parentheses in your answer.

(y3 - 4y2 + 7y - 6) ÷ (y - 2)

Answers

Answer:

this is the answer. hope it helps you

Here this is the answer, i hope this helps u have a great day ik this is late sorry...

NEVERMIND sorry this was the answer for another question, this is incorrect for this one.

the school office users r reams or white paper and 3 reams of blue paper every day use distributive property to write and simplify an expression for how much paper the school office uses in one day

Answers

Answer:

(500r + 1500) sheets per day.

Step-by-step explanation:

The school office uses r reams of white paper and 3 reams of blue paper every day.

Now, the total number of reams of paper that the school office uses every day will be (r + 3) reams.

Now, we know that 1 ream of paper is equivalent to 500 sheets of paper.

So, the school office uses a total 500(r + 3) sheets of paper every day.

Now, using the distributive property the total number of sheets will be = (500r + 1500) (Answer)

Answer:(500+1500)

Step-by-step explanation:

Leonard wants to save $100 in the next 2 months. He knows that in the
second month, he will be able to save $20 more than the first month.
How much should he save each month?

Answers

Answer:

$40,$60

Step-by-step explanation:

Let the money in the first month be x.

2x+20=100

x=40

two numbers have these properties both numbers are greater than 6 the highest common factor is 6 the lowest common multiple is 60 find the two numbers

Answers

Final answer:

The two numbers that fulfill these properties are 12 and 30. They both have a highest common factor of 6 and a lowest common multiple of 60.

Explanation:

The two numbers that fit the description provided both need to be greater than 6, have a highest common factor (HCF) of 6, and a lowest common multiple (LCM) of 60.

For two numbers to have an HCF of 6, they must be multiples of 6. Looking at multiples of 6 that are greater than 6, we have 12, 18, 24, 30 etc. Since the LCM must be 60, we aim to find two numbers that when multiplied would produce 60. This leads us to the pair 12 and 30.

12 and 30 have an HCF of 6 (because 12=2*2*3 and 30=2*3*5, so the HCF is 2*3=6), and 12 and 30 both have an LCM of 60. Therefore, the two numbers are 12 and 30.

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Final answer:

The two numbers that meet these criteria, are greater than 6 and the ones that have the highest common factor as 6 and lowest common multiple as 60, are 6 and 60.

Explanation:

In this problem, we are asked to find two numbers that have the following properties: they are both greater than 6, their highest common factor(HCF) is 6 and their lowest common multiple(LCM) is 60. Since HCF is 6, it's logical to assume that the two numbers can be multiples of 6. As per hints given the highest common factor of two numbers is 6 and the lowest common multiple is 60, the numbers should be 6 and 60 as these are the only two numbers that satisfy all conditions.

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What is the sum of a number and 5

Answers

Answer:

x+5

Step-by-step explanation:

x+5

✓ Express 9 inches of rain in 72 hours as a unit rate. *

Answers

The unit rate of 9 inches of rain in 72 hours is calculated by dividing the depth of the rainfall by the duration, resulting in a unit rate of 0.125 inches of rain per hour.

To express 9 inches of rain in 72 hours as a unit rate, you divide the total amount of rain by the total number of hours to find the rainfall intensity per hour. The calculation would go as follows:

Write down the total rainfall depth: 9 inches.

Write down the duration over which the rain occurred: 72 hours.

Divide the total rainfall depth by the duration to calculate the unit rate: 9 inches / 72 hours = 0.125 inches per hour.

So, the unit rate is 0.125 inches of rain per hour.

What is the answer to 53

Answers

The solution is y=(7a+9b)÷8

Step-by-step explanation:

Given equation is;

[tex]\frac{2y-a}{3}=\frac{a+3b}{4}[/tex]

Multiplying both sides by 12;

[tex]12*\frac{2y-a}{3}=\frac{a+3b}{4}*12\\4(2y-a)=3(a+3b)\\8y-4a=3a+9b\\8y=3a+4a+9b\\8y=7a+9b[/tex]

Dividing both sides by 8;

[tex]\frac{8y}{8}=\frac{7a+9b}{8}\\y=\frac{7a+9b}{8}[/tex]

The solution is y=(7a+9b)÷8

Keywords: linear equations, variable

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Sarah is 12 years old. Her sister, Emily, is 8 years less than 3 times Sarah's age. Write an expression for Emily's age in terms of Sarah's age, s.

Answers

Answer:

x= 3s -8

3 times Sarah's age is 3s hence the expression is as shown

Final answer:

Emily's age in terms of Sarah's age can be expressed by the algebraic expression '3s - 8', where 's' is Sarah's age.

Explanation:

The student's question asks to express Emily's age in terms of Sarah's age, s. In the problem, it is stated that Emily is 8 years less than 3 times Sarah's age. This relationship can be expressed as an algebraic expression, where Emily's age, e, is equal to '3s - 8'. In this expression, 's' represents Sarah's age(12 years old in this case), '3s' means '3 times Sarah's age', and '- 8' represents '8 less than' the amount.

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Eva and jin are new volunteers at the animal shelter . If they both volunteer the first of the month,in how many days will they volunteer on the same day again? Eva volunteers every 3 days and jin volunteers every 5 days

Answers

Answer:

In 15 days

Step-by-step explanation:

Eva Volunteers Every 3 Days:

So, Eva volunteers on:

3rd, 6th, 9th, 12th, 15th, 18th, 21st...and so on DAYS

Jin Volunteers Every 5 Days:

So, Jin volunteers on:

5th, 10th, 15th, 20th, 25th...and so on DAYS

So, we see NEXT which day they vounteer together. Looking at the list, we see that it is on 15th day. This is also the LCM (Least Common Multiple) of 3 and 5.

So, in 15 days, they volunteer on the same day again.

Max constructed a scale model of the Eiffel tower. The base area of the model is 0.25 square meters, while the base area of the actual Eiffel tower is 15,625 square meters
What is the scale factor of the model?
A) 1:625
B) 1:250
C)250:1
D)625:1

Answers

Answer:

1:250

Step-by-step explanation:

[tex]\sqrt{15625/0.25}[/tex]

=[tex]\sqrt{62500}[/tex]

=250

2 divided by 1 6/7 in simplest form

Answers

Answer:

1 1/13

Step-by-step explanation:

2/1 6/7

2/ 13/7

2/1*7/13

14/13

1 1/13

Final answer:

The division of '2' by '1 6/7' involves the conversion of the mixed number to an improper fraction, after which it becomes '2 * 7/13'. This simplifies down to '14/13' or '1 1/13'.

Explanation:

To calculate the division of '2' by '1 6/7', we first have to convert '1 6/7' to an improper fraction. '1 6/7' equals '13/7' when simplified. So, now the task is to divide '2' by '13/7'. In the division of fractions, we multiply the first fraction by the reciprocal of the second fraction. Thus, this becomes '2 * 7/13' (i.e. '2' over '1' times '7' over '13'). Multiplying the numerators together gives us '14', and multiplying the denominators together gives us '13'. Therefore, '2 divided by 1 6/7', in simplest form, is '14/13' or '1 1/13' when converted to a mixed number.

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Simplify this equation 6√40 -2√90 +3√160

Answers

Answer:

BRAINLIEST PLZZZ

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

Exact Form:

18 √ 10

Decimal Form:

56.92099788

A 60-kilogram person stands on a compression spring. The spring constant is 2500 Newtons per meter What is the displacement of the spring?

A)0.00392M
B) 0.024m
C)0.1176m
D)0.2352M

Answers

The displacement [tex](\( \Delta x \))[/tex] of the compression spring when a 60-kilogram person stands on it, with a spring constant of 2500 N/m, is approximately -0.2352 meters. The negative sign indicates the direction of the displacement. Therefore, the correct answer is D.

To find the displacement [tex](\( \Delta x \))[/tex] of the spring, you can use Hooke's Law:

[tex]\[ F = -k \cdot \Delta x \][/tex]

Where:

- F is the force applied (weight in this case),

- k is the spring constant, and

- [tex]\( \Delta x \)[/tex] is the displacement of the spring.

Rearrange the formula to solve for [tex]\( \Delta x \)[/tex]:

[tex]\[ \Delta x = -\frac{F}{k} \][/tex]

Substitute the given values:

[tex]\[ \Delta x = -\frac{mg}{k} \]\[ \Delta x = -\frac{(60 \, \text{kg})(9.8 \, \text{m/s}^2)}{2500 \, \text{N/m}} \][/tex]

Calculate the result:

[tex]\[ \Delta x \approx -0.2352 \, \text{m} \][/tex]

The negative sign indicates that the displacement is in the opposite direction to the applied force. Therefore, the correct answer is:

D) [tex]\( -0.2352 \, \text{m} \)[/tex]

what answer list all the common factors of 18 and 32​

Answers

Answer:

Common factors of 18 & 32: 1, 2

Step-by-step explanation:

1 x 18 = 18

1 x 32 = 32

2 x 9 = 18

2 x 16 = 32

~

Y=2x+5 rotate 90 degrees

Answers

Answer:

Don't know

Step-by-step explanation:

Which way? Clockwise or Counterclockwise?

Which CANNOT be used in a proof?
A) Theorems
B) Postulates
C) Properties
D) Undefined terms

Answers

It’s D. Undefined terms

find the measure of the complement and supplement of 3y

Answers

Answer:

Step-by-step explanation:

x + y = 180

x = 3y + 8

3y+8 + y = 180

4y = 172

y = 43 degrees

x = 180-43 = 137 degrees

Terrance bikes 3.6 miles to school in 18 minutes. Jaqueline bikes 5.4 miles to school in 30 minuets assuming each student rode at a constant speed , who is traveling at a faster speed

Answers

Answer:

jaqueline, because 3.6/18 =0.2 and 5.4/30=1.8

Step-by-step explanation:

Final answer:

Terrance is traveling at a faster speed of 12 mph compared to Jaqueline's 10.8 mph, after converting their biking times to hours and calculating the speed for each.

Explanation:

To determine who is traveling at a faster speed, we calculate the speed (rate) at which each student is biking. Speed is computed using the formula: speed = distance / time. For Terrance, who bikes 3.6 miles in 18 minutes, we must first convert minutes to hours, so 18 minutes is 0.3 hours (since 1 hour = 60 minutes). Thus, Terrance's speed is 3.6 miles / 0.3 hours = 12 miles per hour (mph).

For Jaqueline, who bikes 5.4 miles in 30 minutes, we also convert the minutes to hours to get 0.5 hours. Jaqueline's speed is 5.4 miles / 0.5 hours = 10.8 mph.

Comparing the two speeds, Terrance has a faster speed at 12 mph compared to Jaqueline's 10.8 mph.

This set of ordered pairs defines a function. {(-49,7), (-56,8), (-63,9), (-70,10)} Which table represents the inverse of the function defined by the ordered pairs? A. x 7 8 9 10 y -49 -56 -63 -70 B. y -70 -63 -56 -49 x -10 -9 -8 -7 C. y 49 56 63 70 x -7 -8 -9 -10 D. x 7 8 9 10 y 49 56 63 70

Answers

Option A. x 7 8 9 10 y -49 -56 -63 -70 is the right answer.

Step-by-step explanation:

The inverse of a function means that the input becomes the output of the function and the output becomes input. When the function is given in the form of ordered pairs, the fiirst element of each ordered pair represents input and second element represents the output.

So, for given function: {(-49,7), (-56,8), (-63,9), (-70,10)}

The inverse will be:

{(7, -49), (8,-56), (9,-63), (10, -70)}

Hence,

Option A. x 7 8 9 10 y -49 -56 -63 -70 is the right answer.

Keywords: Function, Inverse

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Correct Answer:

X= 7, 8, 9, 10

Y= -49, -56, -63, -70

The price of packs of bubble gum are listed in the table below.

Bubble Gum Prices


Size of Pack Price

5 pieces $0.35

10 pieces $0.75

12 pieces $1.00

15 pieces $1.35


Which size pack of bubble gum has the lowest unit rate?


Answers

Answer:

The first one

Step-by-step explanation:

0.35÷5=0.07

0.75÷10=0.075

1.00÷12=0.08

1.35÷15=0.09

With a convenience sample, a population is broken up into different subgroups and then simple random samples are conducted within each of these subgroups.

A. True
B. False

Answers

Answer:

i would like to say the answer is FALSE

Step-by-step explanation:

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Find the numbers.

Answers

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19

Solution:

Given that, There are two numbers whose sum is 64.  

Let the number be a and b in which a is bigger.

Then, a + b = 64 ------ eqn (1)

The larger number subtracted from 4 times the smaller number gives 31.  

4 x b – a = 31  

4b – a = 31 ----- eqn (2)

We have to find the numbers.

So, from eqn (2)

a = 4b – 31

Subatitute a in (1)

4b – 31 + b = 64

On solving we get

5b  = 64 + 31  

5b = 95

b = 19

So, b = 19, then eqn 1

a + 19 = 64

On simplification,

a = 64 – 19

a = 45  

Hence, the two numbers are 45 and 19

Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 1.

Answers

Answer:

[tex]x^{2}[/tex]-5x+6

Step-by-step explanation:

(x-2)(x-3)

= [tex]x^{2}[/tex] -5x + 6

A saleswoman earns 9% commission on all merchandise that she sells. Last month she sold $9000 worth of merchandise. How much commission (in dollars) did she earn last month

Answers

Answer:

$810

Step-by-step explanation:

you have to turn your commission into a decimal and then multiply it by the total amount and then you will get your answer

Final answer:

The saleswoman earned $810 in commission last month.

Explanation:

To find the commission earned by the saleswoman, we need to calculate 9% of the total merchandise sold.

9% of $9000 = $9000 * 0.09 = $810.

Therefore, the saleswoman earned $810 in commission last month.

Find the measure of DF

Answers

Answer:

DF = 50

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}[/tex]

[tex]\triangle ABC\sim\triangle DE F\qquad(\text{similar tringles)}\\\\\text{Therefore corresponding sides are in proportion:}\\\\\dfrac{BA}{AC}=\dfrac{ED}{DF}\\\\\text{Substitute}\ BA=360,\ AC=600,\ ED=30\\\\\dfrac{360}{600}=\dfrac{30}{DF}\qquad\text{cross multiply}\\\\360DF=(600)(30)\\\\360DF=18000\qquad\text{divide both sides by 360}\\\\DF=50[/tex]

[tex]\bold{METHOD\ 2:}[/tex]

[tex]\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=40,\ leg=30,\ hypotenuse=DF.\\\\\text{Substitute:}\\\\40^2+30^2=DF^2\\\\1600+900=DF^2\\\\2500=DF^2\to DF=\sqrt{2500}\\\\DF=50[/tex]

Final answer:

The measure of DF cannot be determined without additional context or a specific function. DF could imply distance in a physics scenario or represent an infinitesimal change in a function in calculus.

Explanation:

The measurement of DF seems to be a question related to calculus and physics, specifically pertaining to infinitesimal changes and dynamics. In calculus, df represents an infinitesimally small change in a function, often a result of changing variables x and y. In a physics context, DF can be interpreted as the distance fallen in a typical free fall scenario under gravity, with an initial velocity. Unfortunately, without additional context or a specific function provided, the measure of DF cannot be accurately determined.

For example, in the context of electromagnetism, dF could represent the infinitesimal force on a wire carrying current in a magnetic field, according to the formula dF = i (dl) x B, where i represents current, dl represents an infinitesimal length of wire, and B represents the magnetic field.

What is the difference between calculations and patterns

Answers

Answer:

"Calculation" is a mathematical determination of finding the size or number of something while "pattern" is a sequence of elements that is being repeated in a predictable manner.

Step-by-step explanation:

Calculation- This process allows you to put elements together or transform them into a new result. It produces an obvious change.

For example: 7 x 6 = 42

The numbers 7 and 6 when multiplied produces 42.

Pattern- This process allows you to put the elements in an intelligible way. The elements are organized or repeated regularly.

For example: A, B, C, A, B, C, A, B, C

It is noticeable that the letters A, B and C are being repeated in the same way.

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Answers

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

find the distance between (20, -2) and (19, 5)
any help would be appreciated thx! ❤❤❤​

Answers

Answer: 5 root 2

Step-by-step explanation:

using pyth. theorem

x^2= 1^2 +7^2

x^2 = 50

x = 5 root 2

Answer:

Square root of 50 approx.  7.07

Step-by-step explanation:

Do the distance formula, Which is d= sqrt of (xsub2-xsub1)squared + (ysub2-xsub1)Squared.

It would be d= sqrt of  (19-20)^2 +(5-(-2))^2 = sqrt of 50

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