x+y=8
x-y=6
O A. (6,0)
OB. (8,2)
O C. (7,1)
OD. (9,3)

Answer: 24/14 or 1 10/14

Step-by-step explanation:

11/14 + 9/14 = 20/14

Add the 11 and nine first.

Then add 20/14 + 4/14 and that = 24/14 or you can turn it into a mixed fraction of 1 10/14.

You're Welcome!

Answer:

-i.

Step-by-step explanation:

Applying DeMoivre' s theorem:

(sin 30 + i cos 30)^18​

= sin(18*30) + i cos(18*30)

= sin 540 + i cos 540

= sin (3*180) + i cos (3*180)

= 0 + -1 * i

= -i.

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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A salesman earns $490 as commission on his sales.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a salesman earns 7% commission on all the merchandise that he sells.

Last month he sold $7000 worth of merchandise.

Now, the commission is 7% of 7000

7/100 ×7000

= 0.07×7000

= $490

Therefore, a salesman earns $490.

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Answer:

x = \(\sqrt{165}\)

Step-by-step explanation:

Pythagorean Theorm: a^2 + b^2 = c^2

a^2 + b^2 = c^2

14^2 + x^2 = 19^2

196 + x^2 = 361

x^2 = 165

x = \(\sqrt{165}\)

Answer: 5.8%

Step-by-step explanation: .

Answer:

19 students ride a bike to school

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Option 1 is the more affordable option here as it requires a smaller down payment and smaller monthly payments. The high APR of Option 2 means that the total cost of the car repair will be much higher than with Option 1, making it less cost-effective.

Tax is a compulsory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund various public expenditures.

Total cost for the repair including sales tax = 1600 + (1600 x 0.075) = 1720

Total paid for the car repair = Down payment + (12 months x 140)

                             = (1720 x 0.10) + (12 x 140)

                             = 192 + 1680

                             = 1872

Total cost for the repair including sales tax = 1600 + (1600 x 0.075) = 1720

Total paid for the car repair = (1720 x 0.90) + (24 months x 100)

                             = 1548 + 2400

                             = 3948

With Option 1, you are paying a total of $1872 over the course of 12 months with a down payment of $192. Option 2 offers a 10% discount on the original price before sales tax, but the total cost is significantly more at $3948 over the course of 24 months with a down payment of $0. This difference in cost is largely because Option 2 has a much higher APR at 24%. This means that the interest you will pay on the loan will be significantly higher than with Option 1, resulting in a much more expensive total cost.

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Step-by-step explanation:

Types of fees and charges

Monthly account keeping or service fee. The fee you pay for an organisation to manage your bank account. ...

Internet banking fee. ...

EFTPOS transaction fee. ...

ATM transaction fee. ...

Non-bank or foreign ATM fee. ...

Telephone banking transaction fee. ...

Branch withdrawal fee. ...

Cheque withdrawal fee.

Answer:

Step-by-step explanation:

The volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis will be V = 149.2.

From the question.

x = 5 + y2,

x = 0,

y = 2,

y = 3

The equation for the volume is mathematically given as

\(V = \int\limits^3_2 (2\pi y)(5+y^2) \, dy \\\\\\V = 2\pi \int\limits^3_2(5y+y^3) \, dy \\\\\\V = 2\pi \frac{5y^2}{2} + \frac{y^4}{4} |^3_2\\\\\\V = 149.2\)

Therefore

The volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis will be V = 149.2.

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Answer:In a bowl add raw mango, spinach, onion, prepared masala, salt, turmeric powder, asafoetida.

Answer:

x≥3.5

Step-by-step explanation:

8x ≥-28

x≥-28/8

x≥-3.5

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Answer: 450 minutes

Step-by-step explanation:

4 hours and 30 minutes equals 4.5 hours.

3+4.5=

7.5 hours

1 hour equals 60 minutes

Hence,

7.5*60=

450 minutes

Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.

A percentage is a ratiο, fractiοn, οr pοrtiοn οf a whοle which is represented as 100. The wοrd percent cοmes frοm the Latin phrase per centum which means "by the hundred" οr per οne hundred. Percentages can be represented with a numerical value fοllοwed by the percent symbοl (%).

In statistics, a parameter is a numerical value that describes a pοpulatiοn, while a statistic is a numerical value that describes a sample.

In the given statement, it is nοt clear if the value οf 18% is based οn the entire pοpulatiοn οf all gοvernοrs in the United States οr just a sample οf them.

If the statement is based οn the entire pοpulatiοn, then 18% wοuld be a parameter.

Hοwever, if the statement is based οn a sample οf the gοvernοrs, then 18% wοuld be a statistic.

Hence, Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.

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Complete question:

Determine whether the underlined value is a parameter or a statistic.

Following the election, 18% of the governors of the 50 United States were female.

Is the value a parameter or a statistic?

Statistics

Parameter

The amount of money she will have to pay for booking of the holidays would be = £220

The total amount of money that will cost Merrisa for booking of holidays = £660

The fraction of the total cost that she needs to deposit = 1/3

Therefore, the actual amount that she needs to deposit = 1/3 of £660

= 1/3× 660

= £220

Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.

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Answer:

It has 5 Faces.

The 4 Side Faces are Triangles.

The Base is a Square.

It has 5 Vertices (corner points)

It has 8 Edges.

Step-by-step explanation:

btw you can choose 3

Answer:

-1

Step-by-step explanation:

Answer:

-1 is the answer

Step-by-step explanation:

Answer: It is 10

Step-by-step explanation:

The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.

The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.

To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.

For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.

In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.

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We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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Answer:

The answer is A

Step-by-step explanation:

Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.

9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

Answer:

60

Step-by-step explanation:

A 3-digit number can be odd only when the third digit in it would be odd.

So,

The 3rd digit becomes the most limiting which can be (1, 3, or 5).

Now,

Since we have 3 alternatives to pick the third digit, it can be done in three ways. For every of these 3 ways, 5 digits will be left to select the 1st. Thus, the number of ways to select 3rd and 1st digit = 3 * 5 = 15 ways

After picking the 1st and 3rd digits, we are left with 4 ways to pick the other 4 digits. Thus, the total number of ways to select all the digits would be;

3 * 5 * 4 = 60 ways

Hence, 60 is the correct answer.

Answer:

\(m = \frac{2}{3}\)

Step-by-step explanation:

Use the following equation:

slope \((m) = \frac{y^2 - y^1}{x^2 - x^1}\)

Set the variables with the points:

\((x_1 , y_1) = (-16 , -6)\\(x_2 , y_2) = (-4 , 2)\\\)

Plug in the corresponding numbers to the corresponding variables in the equation:

\(m = \frac{2 - (-6)}{-4 - (-16)}\)

\(m = \frac{2 - (-6)}{- 4 - (-16)} = \frac{2 + 6}{16 - 4} = \frac{8}{12}\)

slope \(m = \frac{8}{12}\) \(= \frac{2}{3}\)  (simplified)

~

Answer:

2/3

Step-by-step explanation: