A beauty supply company has 5 gallons of 20% hydrogen peroxide solution on hand. The
company also has a nearly limitless amount of a solution that contains 30% hydrogen
peroxide. How many gallons of the 30% hydrogen peroxide solution should the company add
to the 20% hydrogen peroxide solution to obtain a mixture that is 23% hydrogen peroxide?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answers

Answer 1

Answer:

2.1 gallons

Step-by-step explanation:

Let V = volume of 20 % hydrogen peroxide = 5 gallons, V₁ = volume of 30 % hydrogen peroxide and V₃ = volume of 23 % hydrogen peroxide. So the final volume is V + V₁ = V₂

V₁ + 5 = V₂  (1)

Also, since quantity = concentration × volume,

Let Q = quantity of 20% volume hydrogen peroxide = 0.2V, Q₁ =  quantity of 20% volume hydrogen peroxide = 0.3V₁ and Q₂ = quantity of 23% volume hydrogen peroxide = 0.23V₂

So, 0.2V + 0.3V₁ = 0.23V₂

0.2 × 5 + 0.3V₁ = 0.23V₂

1 + 0.3V₁ = 0.23V₂

0.3V₁ - 0.23V₂ = -1  (2)

substituting equation (1) into (2), we have

0.3V₁ - 0.23(V₁ + 5) = -1

expanding the brackets, we have

0.3V₁ - 0.23V₁ + -0.23 × 5 = -1

0.07V₁ - 1.15 = -1

adding 1.15 to both sides, we have

0.07V₁ = -1 + 1.15

0.07V₁ = 0.15

dividing both sides by 0.07, we have

V₁ = 0.15/0.07

= 2.143 gallons

≅ 2.1 gallons to the nearest tenth

So, we need 2.1 gallons of 30 % hydrogen peroxide to obtain a mixture that is 23 % hydrogen peroxide.


Related Questions

You estimate that your school is about 60 ft tall. Your school is actually 67 ft tall. Find the percent error in your estimation.

Answers

Answer:

%10.44

Step-by-step explanation:

1) 67-60=7

2)7÷67=0.1044776

Round it and change it to percent

=%10.44

Order the numbers from least to greatest 3/7, 5/9, 43%

Answers

Answer:

The answer is 3/7, 43%, 5/9

Answer:

3/7.43%, 5/9

Step-by-step explanation:

3/7, 43/100,5/9

3/7, .43, 59

Help please an someone explain this to me i'm confused

Answers

Answer:

Jesus I can't help, I would take the educational guess if I was you

Step-by-step explanation:

Find the domain of fg f(x)=x+2 g(x)=1/x+2

A. All real numbers
B. All real numbers, expect 2
C. All real numbers, except-2
D. (-2,0) U [2,-2)

Answers

Answer: A. All real numbers

Step-by-step explanation:

Find fg;

f(x) * g(x) = (x + 2) * ( 1 / x + 2)

= ( x + 2) / (x + 2)

= 1

In giving 1 as the product, the domain of fg is any real number.

Andre mixes 5 scoops of powder with 8 cups of water.

create a double number line or a table that shows different amounts of powder and water that taste the same as Andre's mixture.

please help me with this one more.​

Answers

Answer:

continue to multiply to extend the table to whatever length you need

Step-by-step explanation:

powder        water

5                  8                        

10                16

15               24

A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange

Answers

Answer:

$0.44 each

Step-by-step explanation:

3.08/7 = 0.44

The required cost in dollars per orange is $0.44.

Given that,
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange is to be determined.

What is the Ratio?

The ratio can be described as the proportion of the fraction of one amount towards others. e.g.- water in milk.

What is arithmetic?

In mathematics, it deals with a number of functions according to the statements.

here,
Let the cost of 1 orange = $x
The grocery store sells a bag of 7 oranges for $3.08.
So for 1 orange,
x = 3.08 / 7
x = $ 0.44

Thus, the required cost in dollars per orange is $0.44.

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Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected. A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.

Answers

Answer:

-0.0423≤p≤0.0977

Step-by-step explanation:

The margin error formula is expressed as;

ME = p±√p(1-p)/n

n is the sample size

For the first population proportion p1:

p1 = 193/558 = 0.3469

n1 = 558

p2 = 196/614 = 0.3192

n2 = 614

Taking the difference in the confidence of the proportion

p = p1-p2

p = 0.3469-0.3192

p= 0.0277

Get the margin of error

Margin of error = z*√p(1-p)/n

Margin of error = 2.5758*√0.35(1-0.35)/558 + 2.5758*√0.32(1-0.32)/614

Margin of error = 2.5758*√0.35(0.65)/558 + 2.5758*√0.32(0.68)/614

Margin of error = 2.5758*(0.02019)+2.5758(0.0188)

Margin of error = 0.07

Get the confidence interval

CI = p±ME

CI = (p-ME, p+ME)

CI = (0.0277-0.07, 0.277+0.07)

CI = (-0.0423, 0.0977)

Hence a 99% confidence interval for the difference between the two population proportions is -0.0423≤p≤0.0977

LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown.
•first card: -12
•Second card: 3
•Third card: -5
What is the sum of the values of LuAnn’s three cards?

Answers

Answer= -14
Explanation=
-5+3=-2
-12-2= -14
14 of all the value of cards

PLEASE I NEED HELP FAST ILL MARK BRAINLIST OR WHATEVER POINTS YOU WANT I JUDT NEED THE CORRECT ANSWER IF YOU DONT KNOW DONT ANSWER. ITS MUTIPLE CHOICE AND EXPLAIN IT PLEASE

Answers

Answer:

C

Step-by-step explanation:

The solution for two lines on a graph is the intersection point. Both lines intersect at (-1, -1). Thus, the answer you chose is correct.

Best of Luck!

25% of the tickets sold at an amusement parks wear discount tickets in the park so it's 96 tickets and all how many discount tickets did it sell

Answers

288? I think I just multiply 96x3

One year, the population of a city was 333,000. Several years later it was
293,040. Find the percent decrease.

Answers

Answer:12%

Step-by-step explanation:

(333000-293040)×100/333000

· Amanda has $210 in her school lunch account. She spends $35 each week on school lunches. The
equation a = 210 - 35w represents the total amount in Amanda's school lunch account a for w
weeks of purchasing lunches.

Answers

Answer:

(See step-by-step)

Step-by-step explanation:

Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.

The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.  

The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).  

Answer:

Blank 1: 6

Blank 2: 6

Blank 3: 0

Blank 4: 210

Blank 5: 210

Step-by-step explanation:

reasons better than the other

will give brainliest
A boat traveled 225 miles downstream and back. The trip downstream took 9 hours. The trip
back took 45 hours. Find the speed of the boat in still water and the speed of the current.

Answers

Answer:

30 hrs

Step-by-step explanation:

Downstream. In water, the direction along the stream is called downstream.

Upstream. In water, the direction against the stream is called upstream. Let the speed of a boat in still water be u km/hr and the speed of the stream be v km/hr, then. Speed downstream = (u + v) km/hr. Speed upstream = (u - v) km/hr

Round 259.98991 to the nearest hundredths

Answers

Answer:

259.99

Step-by-step explanation:

You look at the hundreths place and see if the number behind it is bigger than 5, and if it is then you up it by one, and if it's 4 and below then you round it to zero. In this case you up it by one and you get 269.99.

I hope this helps!!!!

Answer:

hey

Step-by-step explanation:

259.99................................................................

wow

please explain there are 9 thirds in in 3 ones​

Answers

Well, there are 3 thirds in a whole (1) so if you have 3 wholes then you are basically doing 3*3 which is 9.

Answer:

Imagine 3 cookies each cut into 3 equal parts, how many parts would you have?

9

Step-by-step explanation:

:3 good luck!

What is the weight of a 32 kg child

Answers

Answer:

32000 grams

Step-by-step explanation:

The weight of a 32 kg child in pounds is 70.56 pounds.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The weight of baby = 32 kg

Now,

Since, 1 kg = 2.205 pounds

So, We convert the weight of baby from kg to pounds as;

1 kg = 2.205 pounds

32 kg = 32 x 2.205 pounds

         = 70.56 pounds.

Thus, The weight of a 32 kg child in pounds is 70.56 pounds.

Learn more about the measurement unit visit:

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How many cups are in 6.5 pints?

Answers

Answer:

13

Step-by-step explanation:

Answer:

13 cups

Step-by-step explanation:

2 cups = 1 pint

6.5 x 2 = 13

13 PTS!! The main idea of this story is that _____.

1. George Washington was general

2. the men were lifting logs

3. George Washington was kind

4. kindness knows no rank

Answers

Answer:

George Washington was general

Step-by-step explanation:

i dont know what movie you are talkibg about but this seems more accurate to what he was

What is the value of x in the diagram above

Answers

I don’t see any diagram :/

Identify the ordered pair that names each point. That identify the quadrant in which it is located. 1-12

Answers

i cant see the entire screen, but just look at the letter, and say which point it is



A Texas teenager from Cedar Park holds the new world record for having the longest legs (female) and the longest teen legs. Her legs are 4 ft. and 5
inches long. How many inches long are her legs?
O 45 inches
O 53 inches
оо
48 inches
O 40 inches

Answers

Answer:

53 inches

Step-by-step explanation:

4 feet is 48 inches and you put 5 inches into that its 53 so its 53 inches.

I need help with this

Answers

Answer:

D

Step-by-step explanation:

maybe try d? i really don’t know

A car rental company charges a flat rate of $19.99 for an SUV in addition to $0.79 per mile driven. Nimer's family rents an SUV from this company and drives from St. Louis to Chicago and back. If the distance from St. Louis to Chicago is 297 miles, how much did Nimer's family's pay for the car rental?
Help this is my finals

Answers

Answer:

Nimer's family paid $489.25 for the car rental

Step-by-step explanation:

Nimer's family rents an SUV from a company that charges a flat rate of $19.99 plus $0.79 per mile driven.

They travel from St. Louis to Chicago and back. The distance between these cities is 297 miles, so they drive 2*297 = 594 miles.

The total charges include a flat fee of $19.99 and the cost of 594 miles:

$19.99 + $0.79 * 594 = $19.99 + $469.26 = $489.25

Nimer's family paid $489.25 for the car rental

The Data set shows the test scores for the mid-year exam for two different periods.
Period 1: 72, 75, 65, 80, 86, 60, 83
Period 3: 64, 93, 73, 57, 70, 59, 69 S
(10 Points)
What is the IQR for period 1?

Answers

answers:

I think it is 80

1.What is five million, five hundred and five thousand and fifty in numerals​

Answers

5,505,050 ............


HELP HELP HELP .............

Answers

Answer:

Sorry i don't know what's the actual answer, but you can use Desmos app for graphing, hope that helps

Answer:

there you go if you want mark brainlest if not its okay with me

Step-by-step explanation:

Lin Ying belongs to an athletic club. In 800 m races her times are normally distributed with mean 128 seconds and standard deviation
4 seconds.
(a) What is the probability of her time in an 800 being between 120 and 130 seconds?
(b) What time will she beat in 70% of her races?
Julie belongs to the same club. In 800 m races 85% of her times are less than 140 seconds and 70% are less than 135 seconds. Her times are normally distributed.
(c) Find the mean and standard deviation of Julie's times, each correct to two significant figures.
(d) What is the probability that in an 800 m race Lin Ying will beat Julie?
(e) The club has to choose one of these two athletes to enter a major competition. In order to qualify for the final rounds it is necessary to achieve a time of 114 seconds or less in the heats. Which athlete should be chosen and why?

Answers

Answer:

Nine of the times for the first race were at least 16 seconds

Step-by-step explanation:

Here we have from the scatter plot, the times are given as

Time               Frequency

19                          2

18                          2

17                          2

16                          3

15                          1

Therefore, total number of times that are above 16 seconds in the first race is

3 + 2 + 2 + 2 = 9

Therefore, the first option is correct

Answer:

Step-by-step explanation:

The answer is below. Plesetake a look and it will help you

There are 28 students in Brad’s class. Their teacher is giving each of them 16 pieces of notebook paper, to make a journal. How many pieces of paper will they need?

Answers

Answer:

448

Step-by-step explanation:

This is Multipilcation, 26 x 16 = 448

Answer: 448

Step-by-step explanation: This is Multiplication, 26 x 16 = 448

please give brainiest

The jersey cost $80. The sales tax is 6%. What is the total cost of the jersey?

Answers

Answer:

The price would be 84.8

The price of jersey will be $7.5

Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?

Yes


No it is much high



No it is much low

Answers

it is much too low as if he runs 4 every year for the past 11 years he’s ran about 44 marathons and each marathon is 26 miles
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