What is the solution to the linear equation?
2 /5 + p = 4/5 + 3/5p

After simplification, we can express the given expression as "Negative twelve and one-half."

Option (B) is correct.

What is a simplification in mathematics?

In mathematics, simplification refers to the process of making an expression or equation simpler or easier to understand or work with. This can involve combining like terms, removing unnecessary terms or factors, or rearranging the order of the terms.

To simplify the expression: Negative two and one-third minus negative ten and one-sixth, we will convert the mixed numbers to fractions and then perform the subtraction.

First, we convert the mixed numbers to fractions:

Negative two and one-third = -2 + (1/3) = -2 + 1/3

Negative ten and one-sixth = -10 + (1/6) = -10 + 1/6

Then we perform the subtraction:

(-2 + 1/3) - (-10 + 1/6) = -2 -10 + 1/3 - 1/6 = -12 + 2/6 + 1/6 = -12 + 3/6 = -12 + 1/2

So the simplified expression is Negative twelve and one-half.

Hence, after simplification, we can express the given expression as "Negative twelve and one-half."

To learn more about the simplification, visit:

brainly.com/question/28595186

#SPJ1

Answer:

14x-35

Step-by-step explanation:

Use distributive property so,

you multiply 2x and -5 by 7

2x*7=14x

-5*7=-35

Answer:

B

Step-by-step explanation:

because it just is

Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

Learn more about statistic here

https://brainly.com/question/14128303

#SPJ4

The percentage of students with GPAs greater than 1.66  is 88.22%.

To answer this question, we need to use the empirical rule, which states that 68% of the data is within one standard deviation of the mean. To calculate the percentage of students with GPAs greater than 1.66, we need to subtract the percentage of students with GPAs less than 1.66 from 100%.

The percentage of students with GPAs less than 1.66 can be calculated by subtracting 1.66 from the mean of 2.56, then dividing by the standard deviation of 0.45. This gives us 2.11 standard deviations below the mean, which corresponds to a percentile of 11.78%.

Therefore, the percentage of students with GPAs greater than 1.66 is 100% - 11.78% = 88.22%.

For more questions like Empirical rule click the link below:

https://brainly.com/question/11552873

#SPJ4

To calculate the present value of $51,270 payments to be made at the end of each period for 17 periods at a 9% interest rate, we need to find the discounted value of each payment and sum them up.

The present value (PV) is calculated by discounting each future payment back to its current value using the interest rate. The formula to calculate the present value of a series of payments is:

PV = Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate.

In this case, the payment is $51,270, the interest rate is 9% (or 0.09 as a decimal), and the number of periods is 17.

Using the provided formula and rounding the factor values to 5 decimal places, we can calculate the present value as follows:

PV = $51,270 × [1 - (1 + 0.09)^(-17)] / 0.09.

Evaluating this expression will give us the present value of the payments. It's important to round the final answer to 0 decimal places, as stated in the question.

By substituting the values and calculating the expression, we can determine the present value of the $51,270 payments made over 17 periods at a 9% interest rate.

Learn more about  factor here:

https://brainly.com/question/14549998

#SPJ11

A ratio or value that may be stated as a fraction of 100 is called a percentage.

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

The simplest way to use percentages is to compare two numbers, with the second number being rebased to 100.

Therefore, the answer is 25%.

To learn more about percentage refer to:

https://brainly.com/question/24877689

#SPJ1

Answer:

There is no mode for the given sets of data.

Step-by-step explanation:

The values given all appear once and mode is the number that appears the most in a given set of data.

Answer:

it's none cause all of them show the same number of times.

Step-by-step explanation:

Mode is asking what number out of all the numbers shows the most.

Answer:

A) r x 2 = g

B) b - 5 = g

C) b x 4 = g

Step-by-step explanation:

Answer:

a. 2r=g

b. g-5=b

c. 4+g=b

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ1

Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

To determine the number of empty seats carried by each airline, we can set up a system of equations based on the given information.

Let's denote the number of empty seats for United Continental as "u," American as "a," and Southwest as "s." The system of equations will be u + a + s = 250 (equation 1) and 14.9u + 14.6a + 12.4s = 106,095 (equation 2). Additionally, it is given that u = 3a.

Equation 1 represents the total number of empty seats, which is 250. It states that the sum of the number of empty seats for each airline is equal to 250.

Equation 2 represents the total cost incurred by the airlines for the empty seats, which is $106,095. It states that the cost of u empty seats for United Continental (at a rate of 14.9¢ per seat-mile), plus the cost of a empty seats for American (at a rate of 14.6¢ per seat-mile), plus the cost of s empty seats for Southwest (at a rate of 12.4¢ per seat-mile) is equal to $106,095.

We are also given that u = 3a, which means the number of empty seats for United Continental is three times the number of empty seats for American.

To solve this system of equations, we can use technology such as a calculator or computer software. By solving the system, we find that u = 13,095, a = 4,365, and s = 70.

Therefore, United Continental carried 13,095 empty seats, American carried 4,365 empty seats, and Southwest carried 70 empty seats on their flights.

Learn more about system of equations here:

https://brainly.com/question/9351049

#SPJ11

Derivative of z with respect to  x is -2 / z and Derivative of z with respect to  y is ∂z/∂y = -7 / (4z).

To find derivatives ∂z/∂x and ∂z/∂y for the equation x^9 y^8 z^4 = 5xyz, follow these steps:

1. Rewrite the equation in the form z^4 = (5xyz) / (x^9 y^8).

2. Take the natural logarithm (ln) of both sides to simplify the equation: ln(z^4) = ln[(5xyz) / (x^9 y^8)].

3. Apply the power rule and the properties of logarithms: 4 * ln(z) = ln(5) + ln(xyz) - ln(x^9) - ln(y^8).

4. Differentiate both sides with respect to x: (4 * ∂ln(z) / ∂x) * (∂z/∂x) = ∂ln(x) / ∂x - 9 * ∂ln(x) / ∂x.

5. Simplify the equation and solve for ∂z/∂x: ∂z/∂x = (1 - 9) / (4z).

6. Similarly, differentiate both sides of the equation (from step 3) with respect to y: (4 * ∂ln(z) / ∂y) * (∂z/∂y) = ∂ln(y) / ∂y -      8 * ∂ln(y) / ∂y.

7. Simplify the equation and solve for ∂z/∂y: ∂z/∂y = (1 - 8) / (4z).

So, ∂z/∂x = -2 / z and ∂z/∂y = -7 / (4z).

Learn more about derivatives : https://brainly.com/question/25324584

#SPJ11

A tablespoon is equal to approximately 14.79 grams. both are unit of measurement of weigth.

converting between metric units (such as grams or meters) and imperial units (such as ounces or feet) is a common type of unit conversion. The process of unit conversion involves using a conversion factor, which is a ratio that relates the units being converted.

The weight of a tablespoon can vary depending on the substance being measured. However, as a general approximation, a tablespoon is equal to approximately 14.79 grams. This conversion is useful in cooking, baking, and other culinary pursuits, where precise measurements are important for achieving consistent results.

To know more metric units lick on the link below:

https://brainly.com/question/25966695#

#SPJ11

Answer:

88

Step-by-step explanation:

memorize this formula:

V = 1/3AH

a is base area

h is height

so V = 1/3 *22*12= 88

The answer is 5 enjoy the answer!

Answer:

9

11

15

Step-by-step explanation:

Read the points in the graph that correspond to y = 0, y = 2, y = 6.

Answer:

9

11

15

Answer:

Step-by-step explanation:

dont know sorry

Answer:

1/5

Step-by-step explanation:

There are 5 heads so the provability of having one head is 1/5

Answer:

The area= 1 in The perimeter= 5 in

Step-by-step explanation:

:)

The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

Learn more about weighted average cost of capital

brainly.com/question/30746642

#SPJ11

The 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.

It is given that:

14.2 cm correct 1 decimal place

14.2

Rounded to the nearest 0.1 or

the Tenths Place.

Rounded to the nearest tenth place. The 2 in the tenth place rounds down to 2 or stays the same because the digit to the right in the hundredth place is 14.2

Thus, the 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

Learn more about the rounding off numbers here:

https://brainly.com/question/13391706

#SPJ1

Answer:

4 : 7 : 10

Step-by-step explanation:

as 12, 21, 30 are all divisible by 3

hope this helps

Answer:

7 divided by 2

Step-by-step explanation:

I say 7 divided by 2 because if you round 6 3/4 up one you will get 7 and if you round 1 2/3 up one you get 2 so 7 divided by 2 makes most sense

As a result, the following calculation can be used to determine c, the game's price before taxes , and c has a value of 59.95.

A mathematical assertion that demonstrates the equality of two statements is called an equation. Mathematical operations like addition, subtraction, multiplication, and division may be used, and it typically includes one or more variables. Example: The equation 3x + 5 = 14 demonstrates that the product of three times the x and five is equivalent to fourteen. Find the number of x that causes the equation to hold true in order to solve the equation.

given

Let's write c for the video game's price before taxes.

We are aware that the entire cost of the video game, with taxes included, is $63.43. Additionally, we are aware that the fee is $3.48.

We can therefore construct the following equation:

c + 3.48 = 63.43

We can take 3.48 away from both sides and separate c on one side as follows:

c + 3.48 - 3.48 = 63.43 - 3.48

c = 59.95

As a result, the following calculation can be used to determine c, the game's price before taxes , and c has a value of 59.95.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

\((4 \div \frac{1}{2}) = 4 \times 2 = \boxed 8✓\\\)

Answer:

8 is the answer

Step-by-step explanation:

4=whole number

1=numerator

2=denominator

when we do reciprocal it became

4x2/1=8/1

so the answer is 8/1

decimal from 8/1=8

8/1 is an improper fraction and be written as 8

I hope it helps you

Answer: C

Step-by-step explanation: -3/4 is equal to -.75 ,

Let's write a linear equation to represent both situations:

Situation A: Unlimited mileage

Pa = 40

Pa = Price of renting a car in A.

Situation B: Not unlimited mileage

Pb = 30 + 0.15x

Pb = Price of renting a car in B.

x = mile over 100.

If plan A saves Lia money:

To find x, let's subtract 30 from both sides and then divide the sides by 0.15:

Considering that x is the miles over 100, in order to save money, Lia has to travel 100 + 66.7 miles = 166.7 miles.

Answer: 166.7 miles.

To make the numbers divisible by 6, we would add the following last digits: 29844, 98466, 410086.

To make a number divisible by 6, it must be divisible by both 2 and 3. To determine if a number is divisible by 3, check if the sum of its digits is divisible by 3. Additionally, to be divisible by 2, the number must end with an even digit (0, 2, 4, 6, or 8).

Let's analyze the given numbers:

1. 29841: The sum of the digits is 2 + 9 + 8 + 4 + 1 = 24. To make it divisible by 3, we need to add 3 to it. Adding 3 makes it 29844, and since it ends with an even digit, it is divisible by 6.

2. 98463: The sum of the digits is 9 + 8 + 4 + 6 + 3 = 30. It is already divisible by 3. However, it doesn't end with an even digit, so we need to replace the last digit with an even digit. Adding 6 to it makes it 98466, and now it is divisible by 6.

3. 410082: The sum of the digits is 4 + 1 + 0 + 0 + 8 + 2 = 15. To make it divisible by 3, we need to add 3 to it. Adding 3 makes it 410085. However, it doesn't end with an even digit, so we need to replace the last digit with an even digit. Adding 6 to it makes it 410086, and now it is divisible by 6.

Therefore, to make the numbers divisible by 6, we would add the following last digits: 29844, 98466, 410086.

learn more about last number for divisibility: https://brainly.com/question/6949363

#SPJ9

The common difference of {a} is ;13.

Length of the biggest interval is 5 and the smallest interval is 87.The sum of k = 3 to 200 k is [56, 160] for dimesions 3-200.3 means nine and 20 means twenty

a_{11} = 87 we have already found the common difference of 5 and 3 so we can easily add the numbers.

The common difference of a number is the number that divides a multiple of the given number equally.

In this case, {a} is arithmetic and a_{3} = 5 .

As we know, there are two ways of finding a common difference. One can multiply both sides by 2 to get (2a_{11})2 = 1000. The other way is to divide 300 by 10’000 which gives us 0.30.

So it can be concluded that the common difference of {a} is 0.3 which is given also in an exponential notation as 0.3.

For more similar questions on arithmetic:

https://brainly.com/question/3766847

#SPJ11

Answer:

X^16 Y^22

Step-by-step explanation:

6x3=18

8×3=24

18-2=16

24-2=22