how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?

thank you.

Answers

Answer 1

The amount of water that should be added to 5 gallons of 50% acid to get 20% solution is 7.5 gallons.

Word problems in mathematics requires crucial understanding and mathematical knowledge to be able to solve real life cases.

From the information given:

Let consider (x) to be the amount of water to be added 5 gallons of 50% acid solution will be = 5 × 0.5 = 2.5 gallons of acid in 50% solution.

The amount of water to be added can computed by using the relation:

[tex]\mathbf{\dfrac{2.5}{x+5} = 20\%}[/tex]

[tex]\mathbf{2.5= 0.2(x+5)}[/tex]

2.5 = 0.2x + 1

2.5 - 1 = 0.2x

1.5 = 0.2x

x = 1.5/0.2

x = 7.5

Learn more about solving word problems here:

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Related Questions

pls help i want it now​

Answers

Answer:

18kg is the correct answer

An item is regularly priced at $95. It is on sale for 85% off the regular price.

Answers

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i

Answers

Answer:

- 5i

Step-by-step explanation:

sqrt(-100) / -sqrt(4)

We know that  sqrt(a) / sqrt(b) = sqrt(a/b)

- sqrt(-100/4)

- sqrt(-25)

We know that sqrt(ab) = sqrt(a) sqrt(b)

- sqrt(25) sqrt(-1)

We know sqrt(-1) = i

Taking the principle value of sqrt(25)

- 5i

1) With the help of given figure.

a) Write the names of minor and major arcs.

b) If mzAOQ = 70° then find m(arcAYQ) and

m(arcAXQ).​

Answers

[tex]\\ \Large\sf Minor\:Arc\longmapsto AOQ[/tex]

[tex]\\ \Large\sf Major\:arc\longmapsto AXQ[/tex]

Now

[tex]\\ \Large\sf\longmapsto m<AOQ=70°[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2m<AOQ[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2\times 70[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=140°[/tex]

PLEASE HELPPPPPPPP!!!!!!!!

Answers

Answer:

True

Step-by-step explanation:

tan B = sin B / cos B = 3/4 Let sin B =3 and cos B = 4

Cot B = cos B / sin B = 4/3

This is true

plzzz answer asap!! The SkyWheel has a diameter of 181 feet. What is the radius? (Don't round and just write the numerical answer, no units)

Answers

Answer:

181 ÷ 2

= 90.5 feet

...........

Solve the system of equations:
y = 2x - 4
y = x2 - 4

Answers

Answer:

y=2x-4

Step-by-step explanation:

y=x2-4

ygjn bcgh ccfjm kbhh

find the missing length indicated​

Answers

Answer:

108

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles:

81 / x = x / 144x² = 81*144x = [tex]\sqrt{81*144}[/tex]x = 9*12x = 108

Answer:

x = 108

Step-by-step explanation:

x is the height

from the Euclidian theorem we know that :

x^2 = 81*144

x^2 = 11664 find the root for both

x = 108

The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a'

Answers

Answer:

Remember that a vector translation can be written as:

T(a, b)

And if we apply this to a random point, (x, y), the translation gives:

T(a, b)(x, y) = (x + a, y + b)

now, remember that a general line can be written as:

y = m*x + s

Then a point of that line can be written as: (x, m*x + s)

Then if we apply the translation to a point in the line, we get:

T(a, b)(x, m*x + s) = (x + a, m*x + s + b)

Here we have two lines:

2x - 3y - 1 = 0

2x - 3y + 5 = 0

First, let's rewrite both of these in the slope-intercept form:

y = (2/3)*x - 1/3

y = (2/3)*x + 5/3

Now let's assume that we apply a translation to the first line, that has points of the form (x,  (2/3)*x - 1/3), such that we want to get points of the form:

(x, (2/3)*x + 5/3).

Then we must have:

T(a, b)(x,  (2/3)*x - 1/3) = (x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

Then we need to solve:

(x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

This means that:

x + a = x

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

From the first equation, we can see that a = 0

Now we can solve the second one to find the value of b.

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

subtracting (2/3)*x in both sides, we get:

-1/3 + b = 5/3

b = 5/3 + 1/3

b = 6/3 = 2

b = 2

Then the vector translation is:

T(0, 2)

So it moves the whole line 2 units upwards.

A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ​
I need answers urgently.
pls

Answers

Could you show us a picture of the question

It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard deviation 4 minutes. A sample of 25 wait times is randomly selected. What is the standard deviation of the sampling distribution of the sample wait times

Answers

Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that [tex]\sigma = 4[/tex]

A sample of 25 wait times is randomly selected.

This means that [tex]n = 25[/tex]

What is the standard deviation of the sampling distribution of the sample wait times?

[tex]s = \frac{4}{\sqrt{25}} = 0.8[/tex]

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

correct option is A

Step-by-step explanation:

mark me

A. is your correct answer!!!!
Hope this helps!!!!!!

Simply the expression (x^3/2)^6

Answers

Answer:

x**9

Step-by-step explanation:

(x**3/2)**6 = x**18/2 = x**9

Alexandra is trying to factorise fully15y + 30. Rebecca says the answer is 3(5y + 10) Victoria says the answer is 5(3y + 6) Alexandra says both Rebecca and Victoria are incorrect, why?​

Answers

Answer:

Step-by-step explanation:

They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.

Victoria could pull out another three.

Rebecca could pull out another five.

The answer is 15(y + 2)

Answer:

because:  3(5y + 10)=15y+30 (Distributive property between addition and multiplication )

the same we have  5(3y + 6)=15y+30

Step-by-step explanation:

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.

What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

Answers

The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.

The slice of pie will form a sector as shown;

The area of the slice of pie will be expressed as:

[tex]A=\frac{\theta}{360}* \pi r^2[/tex]

[tex]\theta\\[/tex] is the central angle = 45 degrees

r is the radius

[tex]r=\frac{d}{2}\\r= \frac{15}{2}\\r= 7.5feet[/tex]

Substitute the given values into the formula above;

[tex]A=\frac{45}{360} * 3.14*7.5^2\\A=\frac{1}{8} * 176.625\\A=22.08ft^2[/tex]

Hence the area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.

The area of the slice of pie that was cut, rounded to the nearest hundredth is 22.08 square feet.

Learn more about an area of a sector here: https://brainly.com/question/12792310

Answer:

the guy on top is right

Step-by-step explanation:

i took the test

URGENT PLS HELP. pls but why or why not thank you:))

Answers

Answer:

No the relation is not a function

Step-by-step explanation:

A function by definition will have a unique output for every input, so there should be no repeating outputs, however, the clinic cares for 2 legged animals (birds) as well as 4 legged animals (cats and dogs). With this being said, if a clinic has 2 animals(input), the amount of legs(output) could be 8 if two dogs, or it could be 4 if two birds, or even six if a dog and bird.

If this were a function, the clinic would undeniably have different amounts of legs having two animals opposed to one animal, but this isn't true. if the clinic has 2 birds(input), there'd be 4 legs(output). but the clinic would also have 4 legs(output) if it had 1 dog(input). the output is the same for two different inputs

This shows the output is varying depending on the type of animal since the amount of legs changes, rather than the amount of animals.

Hope this helps :)

Quesdon 8 of 10
Which of the following is a polynomial?

Answers

Answer:

B

Step-by-step explanation:

It has two or more terms.

Please help me find the area of the figure!!

Answers

Answer: 199 square yards

Step-by-step explanation:

If you break it down into 3 rectangles it’ll be easier to find the answer. Multiply it by H x W. First you do the 6 x 10. And then afterwards add the extra 5 to the 6 and it’ll make the

H = 11, and the W is 4. And then add the last 3 to H and it’ll make it 19 and the last W is 5

6 x 10 = 60

11 x 4 = 44

19 x 5 = 95

Total of 199

Hope this helps :)

Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.

Cost of Binders
On a coordinate plane, a graph titled Cost of Binders has number of binders on the x-axis and total cost in dollars on the y-axis. The line goes through points (0, 0) and (15, 22.5).

If all of the binders cost the same amount, which statement is true?
It will cost $12 for 18 binders.
It will cost $20 for 30 binders.
It will cost $42 for 28 binders.
It will cost $48 for 48 binders.

Answers

Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

(15 binders)/15 = (22.5 dollars)/15

1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

For 28 binders, this would cost 1.5 * 28 = 42 dollars

For 48 binders, this would cost 1.5*48 = 72 dollars

The only one that matches up is 28 binders for 42 dollars

Answer:

$42 for 28 binders.

Step-by-step explanation:

B

What is the value of y for the parallelogram shown? A. 38 B. 60 C. 22 D. 66​

Answers

Answer:

c.22

Step-by-step explanation:

C=66

22*3=66

The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

Square 1 has an area of 24 square units. If square 2 is half the size, what is the ratio of the area of square 1 to square 2.

Answers

Answer:

12

Step-by-step explanation:

I'm going to guess that 1/2 the size means the sides are 1/2 the size.

Square 1 has an area of 24. The sides are s, so the area is found by using s^2

The second square is made from sides that are 1/2 s

Area = 1/2 s * 1/2 s

Area = 1/4 s^2

Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 =  1/0.25

1-tanx/1+tanx=1+sin2x

Answers

are you sure about the ques?

[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]

If the triangle on the grid below is translated by using the rule (x,y) =(x-2,y+2), what will be the coord
5
3
2
5 -3 -2 -
2
3
5
(4.0)
0 (0.4)
(0.0)

Answers

Answer: A' (-4,0)

Step-by-step explanation:

A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant

Answers

Answer:

To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.

Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.

On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.

Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.

Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

-7x + 8, -12x + 12, -17x + 16, . . .

Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4

Answers

Answer:

The first one is the answer.

Step-by-step explanation:

It's an arithmetic sequence. It has a common difference.

d = an - a_n-1

an = -12x + 12

a_n-1 = - 7x + 8

d = -12x + 12 - (-7x + 8)

d = -12x + 12 + 7x - 8

d = -5x + 4

Try  it. Let's try for the third term

-12x + 12 - 5x + 4

- 17x + 15 which is exactly what the third term is.

cạnh huyền của một tam giác vuông lớn hơn một cạnh góc vuông là 1 cm và tổng của hai cạnh góc vuông lớn hơn cạnh huyền 4 cm hãy tính các cạnh của tam giác vuông này

Answers

Answer:

Cạnh huyền=13, cgv1=12, cgv2=5

Step-by-step explanation:

Tam giác ABC

Gọi a là cạnh huyền(đối diện điểm A)

b là cgv đối diện điểm B

c là cgv đối diện điểm C

Theo đề bài: a=b+1 hoặc a=c+1

TH1: a=b+1 ta có hệ pt:

a=b+1                  (1)

b+c=a+4             (2)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (3)

Thế (1) vào (2) ta được: b+c=b+1+4 => c=5

Thế (1) và c=5 vào (3) ta được:  [tex]b^{2} +5^{2} = (b+1)^{2}[/tex]  

<=>  [tex]b^{2} +25=b^{2} +2b+1[/tex]

<=> 2b=24 => b=12

=> a=b+1=12+1=13

TH2: a=c+1 ta có hpt

a=c+1                  (4)

b+c=a+4             (5)

[tex]b^{2} +c^{2} = a^{2}[/tex]         (6)

Tương tự tính được a=13,b=5,c=12

Vậy cạnh huyền=13, 1 cạnh góc vuông=5 và 1 cạnh góc vuông=12

Daisy (5,9,2,6,14,3)
Milkweed (10,8,22,12,12,9)
Coneflower (3,7,2,10,16,7)
A biology class took a field trip. The students counted the number of daisy, milkweed, and coneflower plants in six different locations. The data sets are shown above. What is the overall range in the number of plants for all three types of plants?

Answers

Answer:

The overall range is 20

Step-by-step explanation:

Given

The above dataset

Required

The overall range

Range is calculated as

[tex]Range = Highest - Lowest[/tex]

The highest of the dataset is 22, and it can be found in  Milkweed.

The lowest of the dataset is 2, and it can be found in  Daisy

So, the range is:

[tex]Range = 22 - 2[/tex]

[tex]Range = 20[/tex]

The table shows values for a quadratie function
What is the average rate of change for this function for the interval from 1
Please see
Pic

Answers

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 3 ] , then

f(3) = 18 ← value of y when x = 3

f(1) = 2 ← value of y when x = 1

Then

average rate of change = [tex]\frac{18-2}{3-1}[/tex] = [tex]\frac{16}{2}[/tex] = 8 → B

Other Questions
Please help Thank you 45. You decide to market your own custom computer software. You must invest $3,255 forcomputer hardware, and spend $2.90 to buy and package each disk. If each program sellsfor $13.75, write a system of equations and determine how many disks you must sell tobreak even. Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not. gb-m=9 Russ plays the bassoon. Most bassoon players can easily learn the saxophone. It's therefore likely that Russ could easily learn the saxophone. Which type of argument is this? Valid deductive Weak inductive Invalid deductive Strong inductive 10 minus one third of a number is 4 2. Which is the best thesis sentence for an essay comparing writing emails and talking on the phone?A. Everybody loves talking on the phone, but writing emails is hard work.B. Emails have become a useful and necessary part of our lives, but they will never completely replacethe connection of a telephone conversation.C. My brother has told me that his work could not run without email, but he hardly ever uses thetelephone. 3a+5=20 steps on paper Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He begins lunch at 11:15am. Based on this information, select All of the statements that are correct. a. If it takes Connor 25 minutes to eat lunch, he can go outside for recess at 11:40am. b. If it takes Connor 35 minutes to eat lunch, he will have 20 minutes left for recess. c. If it takes Connor 20 minutes for lunch, he can go outside for recess before 11:45am. d. If it takes Connor 25 minutes for lunch, he will still have at least 40 minutes left for recess. Vle. If it takes Connor 45 minutes for lunch, he can go out to recess at 12:00pm. 120 to 140 what is the percent of change? 2) Oil with = 876 kg/m3 and = 0.24 kg/m s is flowing through a 1.5 cm diameter pipe that discharges into the atmosphere at 88 kPa. The absolute pressure 15 m before the exit is measured to be 135 kPa. Determine the flow rate of oil through the pipe if the pipe is (a) horizontal, (b) inclined 8 upward from the horizontal, and (c) inclined 8 downward from the horizontal. 100pts and will give brainliest Please help will give brainliest.What is the factored form of the following expressions?d2 + 16d + 60Group of answer choices(d 10)(d 6)(d + 10)(d + 6)(d 10)(d + 6)(d + 10)(d 6) Which statements are true? Choose all answers that are correct. Senators have to have been a U.S. citizen for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected. Senators and members of the House of Representatives must live in the state they represent. Senators and members of the House of Representatives must agree to serve at least two terms in office. Senators must be at least 30 years old; members of the House of Representatives must be at least 25. How many oxygen atomsin a molecule of table sugar (C12H22011)? 45. 22 12Op. 11SUBMIT Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground andletting all the kite's string play out. She measures the angle of elevation from herhand to the kite to be 25. If the string from the kite to her hand is 130 feet long, howmany feet is the kite above the ground? Round your answer to the nearest tenth of afoot if necessary. Do you think a person is ever entitled to receive or get something just because they feel they deserve it? Explain your response. I need help with this please hurry it's timed What continent sent slaves TO the West Indies Explain two reasons why the concept of the trinity is important for Christians. In you answer you must refer to a source of wisdom and authority.