how many gallons of water should you add to 4 gallons of juice that is 20% water so the final mixture is 50 percent water

Answer:

2.5

Step-by-step explanation:

(8+1/8) = 8.125

(2.5+3/4) = 2.5 + 0.75 = 3.25

8.125 / 3.25 = 2.5

Answer:

Yes.

Step-by-step explanation:

Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.

Answer:

w= 25

Step-by-step explanation:

Cost of water= (w -1)¢

Cost of milk= (2w -11)¢

Let the certain number be x.

x(w -1)¢= 480¢ -----(1)

x(2w -11)¢= 780¢ -----(2)

From (1):

wx -x= 480 -----(3)

From (2):

2wx -11x= 780 -----(4)

(3) ×2:

2wx -2x= 960 -----(5)

(5) -(4):

(2wx -2x) -(2wx -11x)= 960 -780

Expand:

2wx -2x -2wx +11x= 180

9x= 180

Divide both sides by 9:

x= 180 ÷9

x= 20

Substitute x= 20 into (3):

w(20) -20= 480

20w -20= 480

20w= 480 +20

20w= 500

w= 500 ÷20

w= 25

Answer

D.26

Step-by-step explanation:

Answer:

28/16071  as a decimal 0.00174226...

Step-by-step explanation:

Hope this helps!

Answer:

1 1/6

Step-by-step explanation:

1/3 - (-5/6)

Subtracting a negative is like adding

1/3 + 5/6

Get a common denominator of 6

1/3 *2/2 + 5/6

2/6 + 5/6

7/6

6/6 + 1/6

1 1/6

Answer: -1 1/6

Step-by-step explanation: -5/6 - 1/3 (2/2) -5/6 - 2/6 -7/6 -1 1/6

Answer:

yes

Step-by-step explanation:

becuase all of the inputs have a output.

Answer:

x = 256

Step-by-step explanation:

Remark

Interesting question. Thanks for posting.

The small triangle has the height as the missing side.

Part One: Givens

a = 144

b = height = ?

c = 240

a^2 + b^2 = c^2

144^2 + b^2 = 240^2

20736 + b^2 = 57600                   Subtract 20736 from both sides

b^2 = 57600 - 20736

b^2 = 36864

√b^2 = √36864

b = 192

Solve for x

The relationship between the height (b) and 144 and x is

b^2 = 144 * x

36864 = 144x          Divide by 144

x = 256

Answer:

0.00273            Smallest

27.3 × 10^-3

2.73 × 10^3

273 × 10^2        Largest

the answer are 4kg ,12kg and 20 kg

The number of square inches in the surface area of the resulting solid is 54 times the square of the side length in inches.

The resulting solid formed by cutting a cube of side inches from each corner of a larger cube and inserting a cube of side inches in each corner can be visualized as a box with a hollowed center. To find the surface area of this solid, we need to consider the surface area of the original large cube and the surface area of the smaller cubes inserted in the corners.

The surface area of the large cube is given by the formula:

Surface Area = 6 * (Side Length)^2

In this case, the side length of the large cube is inches. Substituting this value into the formula, we have:

Surface Area of Large Cube = 6 * ( inches)^2

Now, let's consider the small cubes inserted in the corners. There are eight small cubes, and each has a side length of inches. The surface area of one small cube is given by:

Surface Area of Small Cube = 6 * (Side Length)^2

Substituting the value of inches for the side length, we have:

Surface Area of Small Cube = 6 * ( inches)^2

Since there are eight small cubes, we need to multiply the surface area of one small cube by eight:

Total Surface Area of Small Cubes = 8 * (6 * ( inches)^2)

To find the surface area of the resulting solid, we add the surface area of the large cube and the total surface area of the small cubes:

Surface Area of Resulting Solid = Surface Area of Large Cube + Total Surface Area of Small Cubes

Surface Area of Resulting Solid = 6 * ( inches)^2 + 8 * (6 * ( inches)^2)

Simplifying the equation:

Surface Area of Resulting Solid = (6 + 8 * 6) * ( inches)^2

Surface Area of Resulting Solid = 54 * ( inches)^2

Therefore, the number of square inches in the surface area of the resulting solid is 54 times the square of the side length in inches.

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A cube of side 3 inches has a cube of side 1 inch cut from each corner. A cube of side 2 inches is then inserted in each corner. What is the number of square inches in the surface area of the resulting solid?

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

Answer:

28

Step-by-step explanation:

The scale factor is 3.5 which is found out by doing 14 divided by 4. Once you know the scale factor you simply have to do 8 multiplied 3.5 which equals 28.

Answer:

the first one is true and not sure 100% that the others are false all

Answer: True

Step-by-step explanation: Dilations do not change the angle measure. All line segments are changed by the same factor, therefore the angle remains the same.  

Answer:

4 x 10⁵

so that i think will be OD)

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Based on the information given, the cost per hour for her long-distance call will be $4.80.

Amount that was charged for the call = $7.20

Number of hours used = 1.5 hours

The cost per hour for her long-distance call will be:

= Amount that was charged for the call / Number of hours used

= 7.20 / 1.5

= $4.80

In conclusion, the cost is $4.80.

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The type of diagram used to graphically show the relationship between two numerical variables is called a scatter plot.

A scatter plot is a visual representation of data points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.

Each data point on the plot corresponds to a pair of values from the two variables being analyzed. The position of each point on the graph indicates the values of both variables, allowing us to examine the relationship between them.

The main purpose of a scatter plot is to visualize the correlation or relationship between the two variables. The pattern formed by the data points on the plot can indicate the direction, strength, and nature of the relationship.

For example, if the points on the scatter plot tend to form a linear pattern, it suggests a linear relationship between the variables. On the other hand, if the points are scattered randomly with no clear pattern, it indicates a weak or no relationship between the variables.

Scatter plots are commonly used in various fields, including statistics, data analysis, and scientific research. They provide a visual way to explore and interpret relationships between variables, identify outliers, detect trends, and assess the strength and direction of associations.

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I HOPE THE ABOVE INFORMATION WILL HELP YOU.

THANK YOU.

The shaded area is 239.4 ft²

Answer:

Total probability = 0.002 or 1 / 495

Step-by-step explanation:

Given:

Number of men = 8

Number of women = 4

Total number of person = 12

Find:

All four members will be women

Computation:

1st women probability = (4/12)

2nd women probability = (3/11)

3rd women probability = (2/10)

4th women probability = (1/9)

Total probability = (4/12)×(3/11)×(2/10)×(1/9)

Total probability = 24 / 11,880

Total probability = 0.002 or 1 / 495

The probability that all four members of the search committee will be women is 1.42%.

Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:

Therefore, the probability that all four members of the search committee will be women is 1.42%.

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Answer:

I could but can you please put down the problem.

Step-by-step explanation:

A) An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.

B) If a model has alternative optimal solutions the objective is maximized (or minimized) by more than one combination of decision variables, all of which have the same objective function value.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

C) The shadow price indicates how much the value of the objective function will change as the right-hand side of a constraint is increased by 1.

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Answer:

The mean is 70, that's all I know. Sorry!

Step-by-step explanation:

Here's how you find the mean:

1. Add together ALL NUMBERS. (which equals 560 in this case.)

2. DIVIDE by the amount of numbers there are. (So 560 ÷ 8 = 70)

3. There's your answer! The mean of these numbers is 70.

I really hope this helps! Have a great day\night!

Answer:

6

Step-by-step explanation:

2+5=7

21/7=3

2 x 3=6

The ratio is 6:15

The number of chefs is 6

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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