How much water should be added to a 15 gallon solution of 35% hydrogen peroxide to create an 8% solution? how many gallons would there be of the 8% solution?

Answers

Answer 1

15 gallons of 35% peroxide solution contains 0.35 × 15 = 5.25 gallons of hydrogen peroxide. The rest of the volume is made up of 15 - 5.25 = 9.75 gallons of water.

If we add [tex]x[/tex] gallons of water to the solution, the amount of hyrdrogen peroxide in the solution stays the same, but the volume of water increases to [tex]9.75+x[/tex] gallons, and the total volume increases to [tex]15+x[/tex] gallons.

To get a concentration of 8% in this diluted solution, we add [tex]x[/tex] gallons of water such that

[tex]\dfrac{5.25}{15+x} = 0.08[/tex]

Solve for [tex]x[/tex].

[tex]5.25 = 0.08 (15 + x)[/tex]

[tex]5.25 = 1.2 + 0.08x[/tex]

[tex]0.08x = 4.05[/tex]

[tex]x = 50.625[/tex]

To get the desired concentration, one must add 50.625 gallons of water, and one will end up with a total volume of 65.625 gallons of solution.


Related Questions

What is the perimeter of ABC when AB=6

Answers

If it is an equilateral triangle then the perimeter would be 18, if it is not, I will need more information to solve

If −6x+y=−4 and −8x−10y=3 are true equations, what would be the value of 2x+11y?

Answers

Answer:   -7

=========================================================

Reason:

The equation −8x−10y=3 is the same as 8x+10y = -3 after multiplying both sides by -1

We have this system of equations

[tex]\begin{cases}-6x+y = -4\\8x+10y = -3\end{cases}[/tex]

Add the equations straight down.

-6x+8x becomes 2xy+10y becomes 11ythe right hand sides combine to -4+(-3) = -7

Therefore, we end up with the equation 2x+11y = -7

An alternative is to solve the system using substitution to get the (x,y) intersection point. Then use those coordinates to compute 2x+11y and you should get -7 as a result.

What is 72,910 / 10^2

Answers

The answer is 729.1

10^2=100

72,910/100=729.1

The playing time X of classical CDs has the normal distribution with mean 54 and standard
deviation 5; the N(54, 5) distribution. What is the relative frequency of classical CDs with playing
time X between 49 and 69 minutes?

Answers

Using the normal distribution, it is found that the relative frequency of classical CDs with playing time X between 49 and 69 minutes is 0.8403 = 84.03%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 54, \sigma = 5[/tex]

The relative frequency of classical CDs with playing time X between 49 and 69 minutes is the p-value of Z when X = 69 subtracted by the p-value of Z when X = 49, hence:

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 54}{5}[/tex]

Z = 3

Z = 3 has a p-value of 0.9987.

X = 49:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 54}{5}[/tex]

Z = -1

Z = -1 has a p-value of 0.1584.

0.9987 - 0.1584 = 0.8403.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

When you are determining the probability of an event, why must the probablilty be between 0 and 1? explain your answer.

Answers

Probability is the ratio of the desired outcomes to all possible outcomes.

If there are no desired outcomes, the ratio is 0 over all possible outcomes, thus 0.

If the event is all possible outcomes, the ratio is all possible outcomes over all possible outcomes, thus 1.

Probability can never be below zero or negative because desired outcomes can never be negative. If an event is impossible that means there are no desired outcomes meaning that probability is zero, thus couldn't fall below

Probability can never exceed 1 as desired outcomes can never be greater than total outcomes.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

2x-5

-------- = 2

8


(2x-5/8 = 2)

Answers

Step-by-step explanation:

2×-5=-8 and 2×-5/8=-1.25

Answer:

x = 10.5

Step-by-step explanation:

I'll assume this is the equation: (2x-5)/8 = 2

(2x-5)/8 = 2

(2x-5) = 16   [Multiply both sides by 8]

2x = 21        [Add 5 to both sides]

x = (21/2)    [Divide both sides by 2]

or x = 10.5

Which is equivalent to 16^3/4 x?

Answers

Answer:

The answer is A

Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
333. (4 − 6y)(4 + 6y)

Answers

Answer:

The product is the difference of squares is[tex]$$\left(4-6y\right)\left(4+6y\right)=16-36{{y}^2}$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (4-6 y)(4+6y).We have to multiply the given expression.Square the first term 4. Square the last term 6y.

[tex]$$\begin{aligned}&(4-6 y)(4+6 y)=(4)^{2}-(6 y)^{2} \\&(4-6 y)(4+6 y)=16-36 y^{2}\end{aligned}$$[/tex]

Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.

g(x) = f(x − 3) + 4

A.
The graph of function f is shifted left 3 units and up 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted right 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and down 4 units.

Answers

Answer: Choice B)  right 3, up 4

=============================================================

Explanation:

When going from f(x) to f(x-3), we replaced x with x-3.

Doing this shifts the xy axis 3 units to the left since each x input is three units smaller than before. If we had the f(x) curve fixed in place while the axis moves like this, then it gives the illusion of the curve moving 3 units to the right.

The +4 at the end adds 4 to each y coordinate to shift things 4 units up.

The mean output of a certain type of amplifier is 498 watts with a standard deviation of 12 watts. If 86 amplifiers are sampled, what is the probability that the mean of the sample would be less than 494.7 watts

Answers

Mean (m) = 498

Standard deviation (σ) = 12

Sample size (n) = 86

The probability that the sample mean would differ from Population mean by less than 494.7 watts

P(m - s < Z < m + s)

P(498-494.7 < Z < 498+ 494.7)

Using the Z formula :

Zscore = (x - m) / (σ/√n)

x = 498 - 494.7 = 3.3 , x = 498 + 494.7 = 992.7

Z = (3.3 - 498) / (12/√86) = -383.48

P(Z < -383.48)

Z = (992.7 - 498 ) / (12/√86) = 383.48

P(Z<383.48)

Learn more about probability mean here https://brainly.com/question/21571391

#SPJ4

Use natural logarithms to solve the equation. Round to the nearest thousandth.
7e^2x + 10 = 29

Answers

Answer:

  x ≈ 0.499

Step-by-step explanation:

The value of x can be found by undoing the operations done to it.

Solution

The operations done to the variable are ...

multiply it by 2use that as the exponent with a base of emultiply the result by 7add 10

We undo these operations in reverse order:

  7e^(2x) + 10 = 29 . . . . given

  7e^(2x) = 19 . . . . . . . . . subtract 10

  e^(2x) = 19/7 . . . . . . . . . divide by 7

  2x = ln(19/7) . . . . . . . . take the natural logarithm

  x = (ln(19/7))/2 . . . . . . divide by 2

The rounded result is ...

  x ≈ 0.499

A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour ? There are 5,289 feet in one mile

Answers

We will see that the bison is faster, by 9.9 miles per hour.

Which animal is faster?

We know that the deer's speed is:

D = 30 mi/h

The bison's speed is:

B = 3,520 ft/min.

We want to convert the second speed to miles per hour, then we can use:

1 hour = 60 min

1 mile = 5289 ft

So, to get the speed in miles per hour, we need to multiply by 60 and divide by 5289, we will get:

B = 3,520 ft/min = 3,520*(60/5289) mi/h = 39.9 mi/h

So we can see that the bison is faster, by 9.9 miles per hour.

If you want to learn more about speed:

https://brainly.com/question/4931057

#SPJ1

Given the following information, determine which lines, if any, are parallel. State the
postulate or theorem that justifies your answer.

Answers

Answer:

parallel lines a and b

parallel lines l and m

Step-by-step explanation:

25 A.

Angles 3 and 7 are alternate interior angles of lines a and b cut by transversal l.

Since angles 3 and 7 are congruent, lines a and b are parallel by the theorem:

If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.

25 B.

Angles 5 and 12 are same side interior angles of lines l and m and transversal b.

Since the sum of the measures of the angles 5 and 12 is 180, then angles 5 and 12 are supplementary angles making lines l and m parallel by the theorem:

If two lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel.

The time t required to empty a tank varies inversely as
the rate r of pumping. If a pump can empty a tank in
45 minutes at a rate of 300 gallons per minute, how
long will it take to empty a tank at 500 gallons per
minute?
k

Answers

If [tex]t[/tex] and [tex]r[/tex] are inverse proportional to one another, then for some constant volume [tex]V[/tex] we have

[tex]V = tr[/tex]

It takes 45 min to empty a tank containing at 300 gal/min, so the tank contains

[tex]V = (45\,\mathrm{min}) \left(300\dfrac{\rm gal}{\rm min}\right) = 13500\,\mathrm{gal}[/tex]

of liquid.

If it's emptied at 500 gal/min, it would take

[tex]13500\,\mathrm{gal} = t \left(500\dfrac{\rm gal}{\rm min}\right) \implies t = \boxed{27\,\mathrm{min}}[/tex]

3/8-2/7=2/7-3/8 is the statement true

Answers

Answer:

The statement is not true.

Step-by-step explanation:

[tex]\frac{3}{8} -\frac{2}{7} =\frac{2}{7} -\frac{3}{8}[/tex]

First, let us solve the left side.

[tex]\frac{3}{8} -\frac{2}{7} \\\\\frac{3*7}{8*7} -\frac{2*8}{7*8}\\\\\frac{21}{56} -\frac{16}{56}\\\\\frac{21-16}{56} \\\\\frac{5}{56}[/tex]

And now let us solve the right side.

[tex]\frac{2}{7}-\frac{3}{8} \\\\ \frac{2*8}{7*8}-\frac{3*7}{8*7} \\\\\frac{16}{56}-\frac{21}{56}\\\\\frac{16-21}{56}\\\\\frac{-5}{56}[/tex]

Therefore, it is clear that the left side is not equal to the right side.

∴ Left side Right side

∴ [tex]\frac{5}{56}[/tex] [tex]\frac{-5}{56}[/tex]

a student
multiplied 4552 by 175 instead of multiplying by 157 how much was his product greater than the correct product

Answers

The student product is 81936 greater than the correct product

How to multiply numbers?

The student was suppose to multiply 4552 by 157 but instead he multiplied 4552 by 175.

Therefore, let's find how much his product is greater than the correct product.

incorrect product = 4552 × 175 = 796600

Correct product = 4552 × 157 = 714664

Therefore,

difference = 796600 - 714664 = 81936

Therefore, his product is 81936 greater than the correct product.

learn more on multiplication here: https://brainly.com/question/15464152

#SPJ1

Help pleaseeeeeeeeeeeee

Answers

Answer:

B.$120

Step-by-step explanation:

find 8 on the bottom, and go up until you find the dot. then look to the left to see what number matches it on the left side.

f(x) = sin(x² + 2x - 1)²
f'(x) = ?

Need Best Answer? Give the explanation!
ok thx.

Answers

It depends if you mean

[tex]f(x) = \sin(x^2+2x-1)^2 = \sin^2(x^2+2x-1)[/tex]

i.e. the sine part is getting squared, or

[tex]f(x) = \sin(x^2+2x-1)^2 = \sin\left((x^2+2x-1)^2\right)[/tex]

i.e. the argument to sine is getting squared. I'll assume the first case, since it's fairly common convention to write [tex]g(x)^2 = \bigg(g(x)\bigg)^2[/tex].

Now if

[tex]f(x) = \sin^2(x^2+2x-1)[/tex]

• by the power and chain rules we have

[tex]f'(x) = 2 \sin(x^2 + 2x - 1) \left(\sin(x^2+2x-1)\right)'[/tex]

• using the derivative of sine and the chain rule again we have

[tex]f'(x) = 2 \sin(x^2+2x-1) \cos(x^2+2x-1) \left(x^2+2x-1\right)'[/tex]

• with the power and chain rules we have

[tex]f'(x) = 2 \sin(x^2+2x-1) \cos(x^2+2x-1) (2x+2)[/tex]

Recalling the double angle identity for sine,

[tex]\sin(2x) = \sin(x) \cos(x)[/tex]

we can rewrite the derivative among several other ways as

[tex]\boxed{f'(x) = (2x+2) \sin(2x^2+4x-2)}[/tex]

Which of the following appear in the diagram below?
Check all that apply.
z
A. YX
B. ZXYZ
C. ZYXZ
D. YW

Answers

Answer:

A , B, D

Step-by-step explanation:

YX is the segment joining points Y and X and is defined (A)

∠ XYZ is the angle between XY and YZ and is defined (B)

∠ YXZ is the angle between YX and XZ

However there is no segment joining XZ ← not defined

YW is the segment joining points Y and W and is defined (D)

The diagram shows the cross-section of a wall of a cinema. It is to be painted. Paint cost £6 for a tin which covers 25m^2. How much will it cost to paint?

Answers

Answer:

53.04 pounds

Step-by-step explanation:

We find the area of the shape:

10*13=130 is the rectangle

(10+6)*8/2=16*8/2=16*4=64 (area of the right trapezoid)

(10+8)*3/2=18*3/2=9*3=27 (area of the left)

130+27+64=221 is the total area

221/25*6=53.04 pounds

Can someone help me out on this

Answers

Answer:

Step-by-step explanation:

sharon is participating in basketball practice with her basketball team. She knows that running 40 laps around the rectangular basketball court is equal to running a kilometer (3,280 feet). In addition, the court has an area of 408 square feet. If Sharon's coach tells her to run the length of the longer edge of the basketball court, how many feet must Sharon run

Answers

Answer:

Sharon would have to run 24 ft.

Step-by-step explanation:

Begin by finding the perimeter by dividing 3,280 by 40.

Then eliminate D and E because they are larger than the total perimeter, and then plug in the remaining values into the perimeter and then see which also gives you the area.

This is how you get the answer 24 ft.

Hope this helped :D

I need help :(:(:(:(

Answers

The resulting matrix of the row operation is given as follows:

[tex]R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right][/tex]

How to find the resulting matrix?

We apply the row operation on the original matrix, given as follows:

[tex]A = \left[\begin{array}{ccc}4&3&0\\-6&-3&12\end{array}\right][/tex]

The operation is given by:

[tex]R_1 = R_1 - 0.5R_2[/tex]

That is, applying to each element, we have that:

4 - 0.5(-6) = 7.3 - 0.5(-3) = 4.5.0 - 0.5(12) = -6.

Hence the resulting matrix is:

[tex]R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right][/tex]

More can be learned about matrix operations at https://brainly.com/question/1821869

#SPJ1

Which graph represents the solution set of the inequality x+2 less than or equal to 6

Answers

The solution to the given inequality expression is x ≤ 4

Graphing inequalities

Inequality are expressions not separated by an equal sign. Given the inequality expression

x + 2 ≤ 6

Find the solution

Subtract 2 fro both sides

x + 2. - 2  ≤ 6 - 2

x  ≤ 4

Hence the graph of the solution is given as shown in the attachment

Learn more on inequality graph here: https://brainly.com/question/11234618

#SPJ1

Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
557. 0.00000103

Answers

Answer:

Hence, 0.00000103 can be expressed as [tex]$1.03 \times 10^{-6}$[/tex].

Step-by-step explanation:

- Given 0.00000103

- Move the decimal point so that the factor is greater than or equal to 1 but less than 10 .

- Then count n and write no. as a product with a power of 10 .

Step 1 of 1

Consider 0.00000103,

1.03

Decimal has moved 6 places to right.

The power will be negative as the original no. is less than 1 .

[tex]$$\begin{array}{r}1.03 \times 10^{-6} \\0.00000103=1.03 \times 10^{-6}\end{array}$$[/tex]

A given line passes through the points (2,3) and (2,−3). Determine the equation of the line that is perpendicular to the given line and passes through the point (−1,5).

could someone break this down for me? multiple choice in attachment

Answers

The required equation of the line is y = 5

Equation of a line

The equation of a perpendicular line to a line in point-slope form is expressed as:

y-y1 = -1/m(x-x1)

m is the slope

(x1, y1) is any point on the line

Determine the slope

Slope = -3-3/2-2

y = ∞

Since there is no slope, hence the equation of the line will be in the form y = b

where b is the y-coordinate of the point. Hence the required equation of the line is y = 5

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

What is the answer to the question down below

Answers

Answer:

I'm pretty sure the answer is 4

Step-by-step explanation:

Because SQ is 4 and it looks like QT is the same length

Find the distance CD rounded
to the nearest tenth.
C = (4,7) D= (7,11)
CD= [?]
HINT: Use the distance formula:
d = √(x₂-x₁)² + (Y2 − 1)²
Enter

Answers

√(x₂-x₁)² + (Y2 − 1)²

√(7-4)² + (11− 7)²

√(3)² + (4)²

√(9)+ (16)

√(25) = 5

Thus, CD = 5

Hope this helps!

The graph of a linear function is shown,
Which word describes the slope of the line?
O positive
O negative
O zero
undefined

Answers

Answer:

postive

Step-by-step explanation:

im asian

For the graph of a linear function the slope of the line is positive, option A is correct.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let the line is passing through points (-4, -1) and (0, 0)

m=1/4

The slope value is positive

Hence, for the graph of a linear function the slope of the line is positive, option A is correct.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ5

Enter the correct answer in the box. Divide f(x) = | x + 20| by g(x) = x + 1.

Answers

the quotient will be:

[tex](f/g)(x) = \frac{|x + 20|}{x + 1}[/tex]

with x ≠ -1

How to get the quotient of functions?

For two functions f(x) and g(x), the quotient:

(f/g)(x) is equal to f(x)/g(x).

Here we have:

[tex]f(x) = |x + 20|\\\\g(x) = x + 1[/tex]

Taking the quotient, we get:

[tex](f/g)(x) = \frac{|x + 20|}{x + 1}[/tex]

Where we also need to add the restriction that x must be different than -1, as we can divide by zero.

If you want to learn more about rational functions:

https://brainly.com/question/1851758

#SPJ1

Other Questions
People tend to Question content area bottom Part 1 A. look at the entire situation when analyzing an individual security. B. be underconfident in their judgment of investments. C. overestimate the effects of random chance. D. ignore information that contradicts their current beliefs. Use the following image to solve the problem Please help me by giving me an drawing , its urgent !! Or writing explanation but drawing is easier. Find the value of x in Figure 7 (pictured below): evaluate (-1 - 3) - 4/2 What was one of Vladimir Lenin's primary goals when he led the BolshevikRevolution?A. To establish a democracy modeled after western EuropeOB. To institute capitalist reforms to improve Russia's economyC. To punish the Ottoman Empire for the Armenian genocideD. To completely withdraw Russian forces from World War I scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. use empirical rule to determine the following: a) what percentage of people has an IQ score between 61 and 139?b) what percentage of people has IQ score less than 87 or greater than 113?c) what percentage of people has an IQ score greater than 113? What is causing her to resist a change in her lack of motion? Answer asap Distinguish between fast and slow twitch fibers. When are they used? Which have more mitochondria? Which row in the chart accurately compares the powers and weaknesses of Congress under the Articles of Confederation? It's not D i know that What did McCandless ultimately hope to achieve on his journey across the country and eventually into the wild?Select one:a. He wanted to revolt against his mother, who tried to control him.b. He wanted to gather experiences in order to write a book.c. He wanted to learn how to survive without help from others.d. He wanted to live life without material possessions in the hopes of finding peace.e. He wanted to emulate Tolstoy and Tolstoys way of life. The time it takes a person to wash the dishes is uniformly distributed between 6 minutes and 14 minutes. What is the probability that a randomly selected event of washing dishes will take a person between 8 and 13 minutes? Round your answer accurate to two decimal places. A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4-topping sandwich?a)26b)88c)7,315d) 175,500pleaseee help, will mark branliest The manager of a local supermarket has donated walking sticks to the elderly in your community. Your grandfather has received one of these walking sticks. Your family has asked you to write a letter to thank the manager. Write the letter. A person invested $690 in an account growing at a rate allowing the money to doubleevery 7 years. How much money would be in the account after 3 years, to the nearestdollar? Gasoline is pouring into a vertical cylindrical tank of radius 55 feet. When the depth of the gasoline is 66 feet, the depth is increasing at 0.30.3 ft/sec. How fast is the volume of gasoline changing at that instant Still using the reaction from the video, what is the limiting reagent when 2 moles of Al are reactedwith 2 moles of O? About how many total reactions can you run?O Al, 0.67 reactionsO Al, 0.5 reactionsOxygen, 0.67 reactionsO Oxygen, 0.5 reactions What is the point of view of A Yellow Dog? During the previous year he had introduced Kahlo to a whole new worldthe group that assembled weekly at the home of the Italian-born American photographer Tina Modotti.Modotti became Kahlos role model. She had come to Mexico a few years earlier as the protge of the famous American photographer Edward Weston. When Weston went home, Modotti stayed, photographing the peasants of Mexico and posing for Diego Rivera. . . .Modotti was unlike any woman Kahlo had ever met. Independent, daring, revolutionary, Modotti befriended the young painter and sponsored her membership in the Mexican Communist party.Which response to the excerpt is an opinion?Modotti came to Mexico from the United States.Modotti took pictures of Mexican peasants.Modotti created art through her photography.Modotti was a negative influence on Frida Kahlo. Which country's low scores on the cultural dimensions of future orientation and performance orientation indicate that it may struggle to transition from a centrally planned economy to free-market capitalism