How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 80% antifreeze?

Answers

Answer 1

Answer:

The amount of water to be added is ¹/₄ gallon

Step-by-step explanation:

Given;

amount of pure antifreeze at 100% = 1 gallon

let the amount of water to be added with 0% antifreeze = (x) gallon

then, the amount of mixture at 80% antifreeze = (x + 1) gallon

For conservation of mass, we will have the following equation;

(1 x 1) + (0)(x) = 0.8(x +1)

1 = 0.8x + 0.8

0.8x = 1 - 0.8

0.8x = 0.2

x = 0.2 / 0.8

x = ²/₈

x = ¹/₄ gallon

Therefore, the amount of water to be added is ¹/₄ gallon


Related Questions

answer this if you want to be the brain list master ​

Answers

Answer:

3,240 / 9= 360\

360 boxes

Step-by-step explanation:

Answer:

360 boxes were used.

Step-by-step explanation:

the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 7 to 4. if there were 9339 total votes, how many no votes where there?

Answers

9514 1404 393

Answer:

  3396

Step-by-step explanation:

The ratio tells you that out of every 7+4 = 11 votes, 4 of them were 'no' votes. Then the number of no votes is ...

  (4/11)(9339) = 3396 . . . no votes

Ronna needs 20.5 pints of blueberries to make jam. She picked 7.75 pints on Friday and 4,25 pints on Saturday, Hon
many more pints does she need to pick?

Answers

Answer:

8.5 I believe

Step-by-step explanation:

7 + 4 = 11

.75 + .25 = 1

11 + 1 = 12

20.5

- 12 .0

8 . 5

i need help. Somebody help me out

Answers

Answer:

6.31 thats what I think

Answer:D

Step-by-step explanation:

A charter airline finds that on its Saturday flights from Philadelphia to London all 180 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one. (a) Find a formula for the number of seats sold S if the ticket price is P dollars.

Answers

Answer:

[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]

Step-by-step explanation:

Given that:

Number of seats sold is 180 with ticket price $200.

Number of seats decreases by one when the ticket price is increased by $3.

To find:

The formula for the number of seats sold (S) when the ticket price is P dollars.

Solution:

It is linear dependency of number of seats sold, S on ticket price, P.

[tex]S\propto P[/tex]

It can be written as:

[tex]S = kP+C[/tex]

Where [tex]k[/tex] is the constant of proportionality and

[tex]C[/tex] is a constant.

Now, putting the given values:

[tex]180 = 200k +C ..... (1)[/tex]

[tex]179 = 203k+C[/tex] ...... (2)

Subtracting (1) from (2):

[tex]3k = -1\\\Rightarrow k =-\dfrac{1}{3}[/tex]

Putting the value in (1):

[tex]\Rightarrow C = 180+\dfrac{200}{3} = \dfrac{740}{3}[/tex]

Therefore the equation becomes:

[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]

Describe each of the following values as​ (A) a discrete random​ variable, (B) a continuous random​ variable, or​ (C) not a random​ variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.

Answers

Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

please answer correctly see image bellow

Answers

4⁸

alternative form:

65536,6.5536×10⁴

please help properties of exponents

Answers

Answer:

Step-by-step explanation:

3. [tex]c^{11}[/tex] add exponents

4.[tex]m^{60}[/tex] multiply exponents

5.[tex]x^{6} y^{18}[/tex] distribute and multiply exponents

6. [tex]-21 a^{47} *b[/tex] multiply and then add exponents

7.[tex]100 a^{14} b^{4} c^{12}[/tex] distribute and multiply exponents

8.[tex]n^{22}[/tex] multiply and then add exponents

If 1/2 cup of white sugar is needed for one batch of oatmeal raisin cookies, how much white sugar is needed for 8 batches of cookies?

Answers

Answer:

4 cups

Step-by-step explanation:

For one batch of cookies you'll need 1/2 cup of sugar. 8 batches of cookies is 8 times the amount of batches of one batch of cookies. So, if the amount of batches is multiplied by 8, then we need to multiply the amount of sugar by 8 as well:

1/2 * 8 = 8/2 = 4/1 = 4

4 cups of white sugar are needed for 8 batches of cookies.

simpifly 24/36
...........................

Answers

Answer: 2/3 would be the simplified form

Step-by-step explanation: Hoped this helped!!!

Answer: 2/3

Step-by-step explanation:

how many times does 32 go into 400

Answers

12.5 because 400/32 is 12.5 lol I used a calculator

Answer:

3.4

Step-by-step explanation:

Joanne is planning her spring garden. Plants cost an average of $4.95. She will be
buying 10 plants. Which is the best estimate of how much she will spend altogether?

Answers

Answer:

49.50

Step-by-step explanation:

Answer:

Estimate: $50.00

Step-by-step explanation:

Estimate: round both numbers

$4.95 rounds up to $5.00

10 plants is rounded to 10 plants

Set up equation

$5.00 × 10 plants

Solve

$50.00 total

A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The line tangent to the function at x=4 is y=2.1x-3.2. The line tangent to the function at x=6 is y=4.6x-16.3.

Answers

9514 1404 393

Answer:

  0.6

Step-by-step explanation:

The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.

At x=1, the tangent line is given as ...

  y = 0.6x +0.9

The slope of that line is the coefficient of x, 0.6.

The instantaneous rate of change of f(x) at x=1 is 0.6.

A 7676 foot guy wire is attached to the top of an antenna. The angle between the guy wire and the ground is 68o68o. How tall (in feet) is the antenna

Answers

Answer:

70.47feet

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE INTERPRETATION OF THE QUESTION USING A FIQURE

From the attachment we can see that a triangle was formed, where the

OPPOSITE SIDE= X

HYPOTENUSE=76feet

From trigonometry,

Sin(θ)=opposite/Hypotenuse

Sin(68)= X/76

Cross multiply, we have,

X= Sin(68) × 76

X= 0.9272 × 76

X= 70.47feet

Therefore, the antenna is 70.47feet tall.

PLEASE HELP! Find the cosine of angle G. Write your answer in simplified, rationalized form. Do not round. (see attached image)

Answers

Answer:

2/5

Step-by-step explanation:

4+19=25

square root of 25 is 5 so

adjacent over hypotenuse is 2/5

this might be wrong but I think this is how u do it

Answer:

just follow this formula

cos=adjacent over (divided by) hypothenuse

Step-by-step explanation:

answer 2 over √19

write the expanded form of 4(3+4x-2), please help.

Answers

4(3+4x-2)
+2 +2 and this cancele each other
So 6(3+4x)
So 6*8x
-6. -6
= x=2

Derermine the intercepts of the line x-intercept(____,___)
Y-intercept(____,____)

Answers

Answer:

x intercept(3, 0) y intercept(0, -10)

Based on 20 samples, the average resistance is 25 ohms and the sample standard deviation is 0.5 ohm. Determine the 90% confidence interval of the standard deviation of the batch. (10 points)

Answers

Answer:

90% Confidence Interval = [24.81, 25.19]

Step-by-step explanation:

From the question, our number of samples is 20, it is small because it is less than 30. Hence we use the t score confidence interval formula

= Mean ± t score × Standard deviation/√n

Mean = 25 ohms

Standard deviation = 0.5 ohms

n = 20

We find the degrees of freedom = n - 1

= 20 - 1 = 19

Using the T score table

T score for 90% confidence interval with degrees of freedom 19

= 1.729

Hence:

Confidence Interval =

= 25 ± 1.729 × 0.5/√20

= 25 ± 0.1933080767

=

Confidence Interval

25 - 0.1933080767

= 24.806691923

≈ 24.81

25 + 0.1933080767

= 25.1933080767

≈ 25.19

90% Confidence Interval = [24.81, 25.19]

(-8, -8), slope is 3

Answers

Answer:

ok wdym by that is that a question ?

Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0

Answers

Answer:

Two complex (imaginary) solutions.

Step-by-step explanation:

To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.

The discriminant formula for a quadratic in standard form is:

[tex]\Delta=b^2-4ac[/tex]

We have:

[tex]3x^2+7x+5[/tex]

Hence, a=3; b=7; and c=5.

Substitute the values into our formula and evaluate. Therefore:

[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]

Hence, the result is a negative value.

If:

The discriminant is negative, there are two, complex (imaginary) roots. The discriminant is 0, there is exactly one real root. The discriminant is positive, there are two, real roots.

Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.



Brandon opened a credit card at a department store with an APR of 14.99% compounded monthly. What is the APY on this credit card? A. 1.25% B. 29.98% C. 16.06% D. 19.55%

Answers

Answer:

real annual rate= 0.1606 = 16.06%

Step-by-step explanation:

Giving the following information:

APR= 14.99% = 0.1499

First, we will determine the nominal monthly rate:

Nominal monthly rate= 0.1499/12

Nominal monthly rate= 0.01249

Now, to calculate the real annual rate, we need to use the following formula:

real annual rate= [(1 + Nominal monthly rate)^n] - 1

real annual rate= [(1.01249^12) - 1]

real annual rate= 0.1606 = 16.06%

Part 1) Which rate is NOT a unit rate? (Circle)
a) 1/4 inch/1 year
b) $5/3 pounds
c) $13.50/1 hour
d) 15 drops/1 liter

Answers

The answer is

B ($5/3 pounds)

Answer:

it is B

Step-by-step explanation:

it is B $5/3 pounds

Bradly can earn extra money by mowing lawns. His neighbors will pay him 3.00 for each lawn that takes him 3/4 of an hour. What is the amount of time in extra hours, that Bradley would have to spend mowing lawns to be able to buy a second $48 ticket for his brother.

Answers

Time for which Bradly has to mow lawns to get $48:

We know that Bradly earn $3 every 3/4 hours of mowing lawns

Time taken by Bradly to get $1:

time taken by Bradly to get $1 = time taken to get $3 / $3

time taken = (3/4) / 3

time taken = 1/4 hours / dollar

Time taken by Bradly to get $48:

Time taken to get $48 = time taken to get $1 * 48

Time taken to get $48 = 1/4 * 48

Time taken = 12 hours

Therefore, after 12 hours of Mowing lawns, Bradly will have $48

Simplify.
-8 + 13
A. 5
B. -5
C. 21

Answers

Answer:

A.

Step-by-step explanation:

-8+13=5

hope this helps :3

if it did pls mark brainliest

Answer:

A. 5

Step-by-step explanation:

You can rewrite the equation as 13-8

Now that it is simpler you can solve it:

5

Hope this helps!

Determine if the triangles are congruent. If so, write a congruence statement. Explain your reasoning in a short paragraph proof.
PLS Help I'M IN A RUSH
BRAINLIEST WILL BE MARKE FOR THE BEST ANSWER GIVEN

Answers

Answer: Yes

Step-by-step explanation:

The Vertical angle would show that 2 of the angles are exactly the same. Its also given 2 lines that are marked as congurent. Since we know that angle and the lines are congruent we can also say that angle IFJ is congruent to angle IHG meaning that they are congruent because of ASA (Angle Side Angle Theorem)

Congruent triangles have equal corresponding sides lengths and angle measures.

The triangles are congruent by ASA

From the attached figure, we have:

[tex]\mathbf{HI \cong IF}[/tex]

Lines HG and JF are parallel lines.

It means that:

Angles G and F are corresponding, and also angles at I in both triangles are vertical angles.

So, we can conclude that both triangles are congruent by ASA

Read more about congruent triangles at:

https://brainly.com/question/12413243

3.f(-4)-3.g(-2) please help me with this problem

Answers

Question:
3.f(-4)-3.g(-2) please help me with this problem

Answer:
-12f + 6g

Step by step explanation:

Employees of the store in the example Wear shirts with the logo on the back

Answers

Answer:

the logo could be kate spade

Let Y1 and Y2 denote the proportion of time during which employees I and II actually performed their assigned tasks during a workday, The joint density of Y1 and Y2 is given by
f(y1,y2) = { y1+y2, 0<=y1<=1, 0<=y2<=1, 0, elsewhere

Required:
a. Find the marginal density function of Y1 and Y2
b. Find P(Y1 >= 1/2 | Y2 >= 1/2).
c. If employee II spends exactly 50% of the dayworking on assigned duties, find the probability that employee I spends more than 75% of the day working on similarduties.

Answers

Answer:

Step-by-step explanation:

From the information given:

The joint density of [tex]y_1[/tex]  and  [tex]y_2[/tex] is given by:

[tex]f_{(y_1,y_2)} \left \{ {{y_1+y_2, \ \ 0\ \le \ y_1 \ \le 1 , \ \ 0 \ \ \le y_2 \ \ \le 1} \atop {0, \ \ \ elsewhere \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \right.[/tex]

a)To find the marginal density of [tex]y_1[/tex].

[tex]f_{y_1} (y_1) = \int \limits ^{\infty}_{-\infty} f_{y_1,y_2} (y_1 >y_2) \ dy_2[/tex]

[tex]=\int \limits ^{1}_{0}(y_1+y_2)\ dy_2[/tex]

[tex]=\int \limits ^{1}_{0} \ \ y_1dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]

[tex]= y_1 \ \int \limits ^{1}_{0} dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2[/tex]

[tex]= y_1[y_2]^1_0 + \bigg [ \dfrac{y_2^2}{2}\bigg]^1_0[/tex]

[tex]= y_1 [1] + [\dfrac{1}{2}][/tex]

[tex]= y_1 + \dfrac{1}{2}[/tex]

i.e.

[tex]f_{(y_1}(y_1)}= \left \{ {{y_1+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]

The marginal density of [tex]y_2[/tex] is:

[tex]f_{y_1} (y_2) = \int \limits ^{\infty}_{-\infty} fy_1y_1(y_1-y_2) dy_1[/tex]

[tex]= \int \limits ^1_0 \ y_1 dy_1 + y_2 \int \limits ^1_0 dy_1[/tex]

[tex]=\bigg[ \dfrac{y_1^2}{2} \bigg]^1_0 + y_2 [y_1]^1_0[/tex]

[tex]= [ \dfrac{1}{2}] + y_2 [1][/tex]

[tex]= y_2 + \dfrac{1}{2}[/tex]

i.e.

[tex]f_{(y_1}(y_2)}= \left \{ {{y_2+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.[/tex]

b)

[tex]P\bigg[y_1 \ge \dfrac{1}{2}\bigg |y_2 \ge \dfrac{1}{2} \bigg] = \dfrac{P\bigg [y_1 \ge \dfrac{1}{2} . y_2 \ge\dfrac{1}{2} \bigg]}{P\bigg[ y_2 \ge \dfrac{1}{2}\bigg]}[/tex]

[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} f_{y_1,y_1(y_1-y_2) dy_1dy_2}}{\int \limits ^1_{\frac{1}{2}} fy_1 (y_2) \ dy_2}[/tex]

[tex]= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} (y_1+y_2) \ dy_1 dy_2}{\int \limits ^1_{\frac{1}{2}} (y_2 + \dfrac{1}{2}) \ dy_2}[/tex]

[tex]= \dfrac{\dfrac{3}{8}}{\dfrac{5}{8}}[/tex]

[tex]= \dfrac{3}{8}}\times {\dfrac{8}{5}}[/tex]

[tex]= \dfrac{3}{5}}[/tex]

= 0.6

(c) The required probability is:

[tex]P(y_2 \ge 0.75 \ y_1 = 0.50) = \dfrac{P(y_2 \ge 0.75 . y_1 =0.50)}{P(y_1 = 0.50)}[/tex]

[tex]= \dfrac{\int \limits ^1_{0.75} (y_2 +0.50) \ dy_2}{(0.50 + \dfrac{1}{2})}[/tex]

[tex]= \dfrac{0.34375}{1}[/tex]

= 0.34375

Which of the following is equivalent to (2a+1)(2a+1)?
O (2a + 1)2
O 4a + 2
O 2(2a + 1)
O4a²+1

Answers

I have now idea do you know what the answer is yea I do it is C

The equivalent expression is (2a + 1)².

Option (A) is correct.

What is a Polynomial?

Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns. They serve as the foundation for solving algebraic equations.

As per the given data in the question:

We are given an expression, and we have to find out the equivalent expression from the given options in the question.

The expression is (2a + 1)(2a + 1)

For option (A). (2a + 1)²

In (2a + 1)(2a + 1) using associative multiplication.

= 2a.2a + 2a + 2a + 1

= 4a² + 4a + 1

Using the identity: a² + 2ab + b² = (a + b)²

4a² + 4a + 1 = (2a + 1)²

The equivalent expression is (2a + 1)².

Hence, The equivalent expression is (2a + 1)².

To learn more about Polynomial, click:

brainly.com/question/11536910

#SPJ7

Each function below is a translation of the graph of the function f(x) = x^2. Match the function with the description of its relationship to the parent function.

Answers

Answer: h(x)=x^2-1: down 1

k(x)=x^2+1: up 1

m(x)=(x-1)^2: right 1

g(x)=(x+1)^2: left 1

Step-by-step explanation: just answered this question on edge 2020.

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Your sister has gain admission into your formal school write a latter giving her information about the school and advise her on how to behave well while in the school A clothing shop ordered 240 t-shirts. 75% of the shirts sold in the firstweek. How many shirts sold in the first week? When is a chemical reaction not occurring? A. Between Part 1 and Part 2 B. During Part 3 . Between Part 4 and Part 5 D. During Part 5 | Plz explain how I got wrong in pic Tanya is very interested in providing medical care and helping injured people. Gerald wants to discover information about people and crimes, but he wants to be self-employed and work for individual customers instead of for the government. He is also skilled at writing reports. Hunter has always wanted to protect the people in his rural town and investigate crimes. Which career is best suited to each person?Tanya should be an Ambulance Dispatcher, Gerald should be a Police Detective, and Hunter should be a Forest Firefighter.Tanya should be a Paramedic, Gerald should be a Private Investigator, and Hunter should be a Deputy Sheriff.Tanya should be a Paramedic, Gerald should be a Police Detective, and Hunter should be a Deputy Sheriff.Tanya should be a Ambulance Dispatcher, Gerald should be a Private Investigator, and Hunter should be a Forest Firefighter. A geographic compass is used to tell the direction you are facing on the Earth. A compass has a movable needle in it that is a magnet with the north pole painted red. Where that red needle points is the direction north on the Earth. The needle moves because it interacts with the magnetic field of the Earth. 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