Oranges cost 21 cent each. alex buy x and Bobby buys (x+2) oranges. The total cost of these oranges is $4.20

Answer:

The answer is 3:8 or 3 to 8

Step-by-step explanation:

a. If each country gives 185 medicine packages, the United Nations should require each country to give 185 food packages as well.

b. The largest number of medicine packages that each country can offer is dependent on the number of medicine packages that each country has in stock.

a. In this case, the United Nations wants each nation to give equally, so the same number of food packages should be required from each country as the number of medicine packages required. Therefore, if each country gives 185 medicine packages, the United Nations should require each country to give 185 food packages as well.

b. To find the largest number of medicine packages that each country can offer, we need to consider the least number of medicine packages offered by any country. Let's assume that Country X has the smallest number of medicine packages, which is m.

Then, the total number of medicine packages that can be received from each country is 185 - m, since each country must give equally. Therefore, the largest number of medicine packages that each country can offer is 185 - m.

For example, if Country X has 150 medicine packages, then the total number of medicine packages that can be received from each country is 35 (185 - 150), and each country can offer up to 35 medicine packages.

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The critical value t Subscript c for a confidence level of 0.98 and sample size of 24 is 2.500.

To find the critical value t Subscript c for the confidence level c=0.98 and sample size n=24, we can use a t-distribution table or calculator.

Since we have a sample size of n=24, we have n-1 = 23 degrees of freedom. Using a t-distribution table or calculator with 23 degrees of freedom and a confidence level of 0.98, we get

t Subscript c = 2.500

Therefore, the critical value t Subscript c for the confidence level c=0.98 and sample size n=24 is 2.500. This means that if we calculate the t-value from our sample data and it is greater than or less than 2.500 in absolute value, we can reject the null hypothesis at the 0.02 level of significance.

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Answer:

(9,22)

Step-by-step explanation:

1/3 of 9= 3

3+19=22

Answer:

7 + 9i

Step-by-step explanation:

Given

(3 + 7i) - 1(- 4 - 2i) ← distribute both parenthesis

= 3 + 7i + 4 + 2i ← collect like terms

= 7 + 9i

Answer:

\((3 + 7i) - ( - 4 - 2i) \\ = 3 + 7i + 4 + 2i \\ = (3 + 4) + (7i + 2i) \\ = \boxed{7 + 9i}\)

When two lines intersect, then two pairs of vertically opposite angles are formed and they are equal.

Angles 63° and b° are vertically opposite angles.

This means that angle b = 63°

Similarly, angles a° and c° are vertically opposite angles meaning that they are equal.

a° = c°

The measure of angles a and c is

Therefore, angles a = c = 117°

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output.

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output, the table we use is called the Two-way Table.A two-way table is a table that shows the frequency distribution of categorical data in two different ways. It has two rows and two columns with one categorical variable defining the row and the other defining the column.To display the distribution of one variable along one dimension and the distribution of the other variable along the other dimension, we use a two-way frequency table. It's the same as a contingency table, but it includes frequency counts for each mix of the two variables.A two-way table is used in statistics to show the distribution of data when two different variables are taken into account. It is created to make comparisons between data in a tabular format to highlight correlations or relationships between the variables. Hence, the correct answer is the option d. Two-way Table.

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The number of people that attended the game in each cost category is Faculty: 7,000,Alumni: 18,000,Public: 18,000,Veterans: 4,000

To determine the number of people that attended the game in each cost category,  to consider the given information and set up a system of equations to solve for the unknowns. Let's break down the problem step by step.

Let's denote the number of people in each cost category as follows:

Faculty: F

Alumni: A

Public: P

Veterans: V

The number of alumni is 11,000 more than the faculty, so we have the equation:

A = F + 11,000

The number of public plus alumni together was 10 times the number of veterans, so  the equation:

P + A = 10V

The number of faculty plus alumni together was the same as the number of veterans, so we have the equation:

F + A = V

The total number of people attending the game is the sum of the people in each category, so  the equation:

F + A + P + V = 100,000

Now, use these equations to solve for the unknowns.

First, substitute equation 1 into equations 2 and 3:

P + (F + 11,000) = 10V

F + (F + 11,000) = V

Simplify these equations:

P + F + 11,000 = 10V

2F + 11,000 = V

Next, substitute these equations into equation 4:

F + (F + 11,000) + P + (2F + 11,000) = 100,000

Simplify and combine like terms:

4F + 22,000 + P = 100,000

Subtract 22,000 from both sides:

4F + P = 78,000

Now a system of two equations:

P + F + 11,000 = 10V

4F + P = 78,000

solve this system of equations to find the values of F, P, and V.

By solving the system,

F = 7,000

P = 18,000

V = 4,000

Finally, substitute these values back into equation 1 to find the value of A:

A = F + 11,000 = 7,000 + 11,000 = 18,000

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Therefore , the solution of the given problem of equation comes out to be circle's radius is three and a half units, and its center is at the coordinates (2, 3).

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, normalization yields b + 7, as opposed to another algorithm that divides 12 into two components and can assess data from y + 7, which creates y + 7.

Here,

A circle's standard form solution is:

=> (x - h))² +  (y - k))²  = r)²

.To reformat the circle equation provided in standard form:

=> 7x)²  - 28x + 7y)²  + 42y = 35

=> 7(x)²  - 4x) + 7y)²  + 42y = 35

=> 7(x)²  - 4x + 4) + 7y)²  + 42y = 35 + 28

=> 7(x - 2))²  + 7y)²  + 42y = 63

=> 7(x - 2))² + 7(y)²  + 6y) = 63

=> 7(x - 2))²  + 7(y)²  + 6y + 9) = 63 + 63

=> 7(x - 2))²  + 7(y + 3))²  = 126

=> (x - 2)² + (y + 3))²  = 18

So, (x - 2)2 + (y + 3)2 = 18 is the equation of this circle in standard notation.

The circle's radius is three and a half units, and its center is at the coordinates (2, 3).

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Linear equations involve equalities (i.e., "=") and are used to represent lines in a coordinate plane. Linear inequalities, on the other hand, involve inequalities (i.e., "<", ">", "<=", ">=") and are used to represent regions or areas of a coordinate plane that satisfy certain conditions.

A linear equation can be expressed in the form "y = mx + b," where "m" represents the slope of the line and "b" represents the y-intercept. Given the values of "m" and "b," you can calculate the y-coordinate for any given x-coordinate, and vice versa. The graph of a linear equation is a straight line.

A linear inequality is expressed in the form "y < mx + b," "y > mx + b," "y <= mx + b," or "y >= mx + b." Instead of representing a single line, a linear inequality represents a shaded region on the coordinate plane that satisfies the given condition. To graph a linear inequality, you can choose a test point not on the line and check whether it satisfies the inequality. If it does, shade the region containing the test point; otherwise, shade the other region.

In summary, the main difference between linear equations and linear inequalities is the use of equalities versus inequalities. Linear equations represent lines, while linear inequalities represent shaded regions on the coordinate plane. Equations deal with exact solutions, whereas inequalities deal with a range of possible solutions. Understanding the distinctions between these concepts is important in various areas of mathematics, such as algebra and geometry.

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Answer:

96

Step-by-step explanation:

U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so

mTV = 2 * mTU

11x + 8 = 2 (6x)

11x + 8 = 12x

8 = x

mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96

Answer:

45

Step-by-step explanation:

There are 45 total marbles. The probability of drawing a yellow marble on the first draw is 3/4. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

Answer:

Step-by-step explanation:

3/5

4/6

5/7

51/150

2/3

Step-by-step explanation:

the text that is formatted in bold and underlined fonts are the answers to the missing (blank) terms in the given problem.

Given that  \(\huge\sf{\overline{AB}}\) is a straight line, and that ∠AOE, ∠EOF, and ∠FOB share a common vertex, at point O, whose sum equals 180°.  

1. Statement:  m∠AOB = 180°

  Reason: Definition of a straight angle.

2. Statement:  m∠AOE + m∠EOF + m∠FOB = m∠AOB

   Reason: Angle Addition Postulate.

3. Statement:  x + (2x + 34) + 20° = 180°

   Reason: Substitution.

4. Statement:  x = 42°

   Reason: Algebra.

1)   Straight angles have a measure of 180°.

2)  The Angle Addition Postulate states that if O is in the interior of ∠AOB, then it means that the measure if ∠AOB is equal to the sum of the measures of ∠AOE, ∠EOF, and ∠FOB. In other words:

           ⇒   \(\huge\bf\sf{m\angle{AOB}\:=m\angle{AOE}\:+m\angle{EOF}\:+m\angle{FOB}}\)

3) and 4) Since the ∠AOB is a straight angle, then it means that the sum of the measures of ∠AOE, ∠EOF, and ∠FOB equal the measure of ∠AOB = 180°. Hence, in order to solve for the value of x, simply add the given values for each angle:

x° + (2x + 34)° + 20° = 180°

x° + 2x° + 34° + 20° = 180°

Combine like terms:

3x° + 54° = 180°

Subtract 54° from both sides:

3x° + 54° - 54° = 180° - 54°

3x° = 126°

Divide both sides by 3 to solve for x:

\(\huge\sf{\frac{3x^\circ}{3}\:=\:\frac{126^\circ}{3}}\)

x = 42°

Answer:

\(\cfrac{-4}{3} \) and \(\cfrac{1}{2} \).

Step-by-step explanation:

Equation:

\( \rm \: \: (2x - 1)(3x + 4) = 0\)

Solution:

Set factors equal to zero,that is:

\((2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)\)

\((3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)\)

Solving for equation 1:

Solving for equation 2:

Hence,the solutions to the quadratic equation in factored form is \(\cfrac{-4}{3} \) and \(\cfrac{1}{2} \).

\(\rule{225pt}{2pt}\)

Good luck on your assignment!

x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is (2x - 1)(3x + 4) = 0

We have to find the solutions of the equation

As the equation is in factored form

We take each factor and solve for solution

2x-1=0

2x=1

Divide both sides by 2

x=1/2

Now 3x+4=0

3x=-4

Divide both sides by 3

x=-4/3

Hence, x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0

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Answer:

Option B : Length × Width × Height

- How did you know it's option B ?

-------------HappY LearninG <3 ----------

Answer:length × width × height

Step-by-step explanation:

Answer:

0.62km

Step-by-step explanation:

1 mm= .000001km

620,000mm= 0.62km

Multiply 620,000 by 0.000001

Answer:

\(0.62\)km

Step-by-step explanation:

\(6.2 \times {10}^{5} \\ 6.2 \times 100000 \\ = 0.62\) km I hope this helps you

Answer:

\((2 \div 3)x > 1 + \frac{1}{5} \\ \frac{2}{3} x > \frac{6}{5} \\ x > \frac{18}{10} \)

Answer:

natural numbers, rational numbers, integers, whole numbers, real numbers

-16 belongs to the set of the integers and rational numbers.

Given that,
To discuss to which subsets of the real number system -16 belong.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
Number -16 is an integer and rational number, also primarily it is a real number,
So real number is set an integer and a rational number is subsets for the number -16

Thus, -16 belongs to the set of integers and rational numbers.

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The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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Answer:

1660

Step-by-step explanation:

Since it is in square meters and it's a container I will assume it is asking for surface area. Surface area of a rectangular prism is:

2(7*4)+2(7*5)+2(5*4)= 166

Multiply by 10 since there are 10 containers and you get 1,660 square meters.

The Rank Theorem and the Rank-Nullity Theorem are fundamental theorems in Linear Algebra that can be used to solve problems related to matrices and to find the rank, nullity, and dimensions of the row space, column space, and null space of a matrix.

a) If a 6x8 matrix A has rank 5, then dim(null(A)) = 3.

Nullity of A is the number of free variables in the echelon form of A. Since,

row(A) = rank(A) and nullity(A) = dim(null(A)), adding them will give the number of columns of A.

Hence, dim(A) = row(A) + nullity(A) = 8.

b) If A is a 5x7 matrix and dim(null(A)) = 3, then dim(row(A)) = 4.

By the Rank-Nullity Theorem, row(A) = rank(A) and since rank(A) + nullity(A) = number of columns,

we have rank(A) = 4.

c) If A is a 6x7 matrix and dim(null(A)) = 3, then dim(col(A)) = 4. In this case, by the Rank-Nullity Theorem, col(A) = rank(A) and since

rank(A) + nullity(A) = number of columns,

we have rank(A) = 3.

Hence, dim(col(A)) = 7 - 3 = 4.

d) If A is a 3x5 matrix and dim(row(A)) = 1, then dim(null(A)) = 4.

Here, by the Rank-Nullity Theorem, rank(A) + nullity(A) = number of columns of A, i.e., 5.

Since, dim(row(A)) = rank(A) = 1, nullity(A) = 4.

e) If A is a 4x5 matrix, the smallest value of dim(null(A)) could be 0. This is possible if and only if A is a full rank matrix or a one-one matrix with no nontrivial solutions. A one-one matrix has nontrivial solutions only if it has a non-zero null space.

If dim(null(A)) = 0, then A is one-one and hence, it is full rank.

The Rank Theorem and the Rank-Nullity Theorem are fundamental theorems in Linear Algebra that can be used to solve problems related to matrices. We can use these theorems to find the rank, nullity, and dimensions of the row space, column space, and null space of a matrix. These theorems are based on the concept of linear independence and the properties of matrices. By using these theorems, we can solve a wide range of problems related to matrices, such as finding the rank and nullity of a matrix, finding the dimensions of its row space and column space, and so on.

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Opportunity Source refers to the channels used to attract and engage potential customers. On the other hand, channel efficiency is the capacity to track the actual outcome of sales and marketing activities based on the various channels used.

For online gaming, the opportunity sources are the channels used for promoting the game, while channel efficiency is the measurement of their effectiveness. Here's how to calculate the Opportunity Source & Channel Efficiency for online gaming:

Step 1: Determine the number of visitors to the websiteThe number of visitors to a website is a good way to track the efficiency of a marketing campaign. For example, if a website has 1000 visitors and the game has been downloaded 100 times, the conversion rate is 10%.

Step 2: Identify the primary channels for attracting visitors to the website. Once the website has been established as a starting point for conversions, the next step is to track the source of the visitors.

The primary channels for attracting visitors to the website may include Organic search paid search social media, Email marketing, Referral marketing, Display advertising, and Affiliate marketing.

Step 3: Analyze the effectiveness of each channel. Once you have identified the primary channels for attracting visitors to the website, you can start analyzing its effectiveness. This includes calculating the conversion rate for each channel. To calculate the conversion rate for each channel, divide the number of downloads by the number of visitors from each channel.

Step 4: Optimize the marketing campaign based on the results of the analysis, you can optimize the marketing campaign. For example, if the conversion rate for social media is low, you may need to improve your social media strategy.

Or if the conversion rate for email marketing is high, you may want to focus more on this channel for future campaigns.

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The dimensions that will give the maximum rectangular area is 166.67 yards

Let the length of the rectangular field be l and its breadth be b and the perimeter be P.

We are to find the dimensions of the rectangular field such that it has the maximum rectangular area.

According to the problem statement, the farmer wants to put a fence around the rectangular field and divide it into three rectangular plots by placing two fences parallel to one of the sides.

Let one side parallel to which fences are placed be of length l and the other side be of length b.

First we will find the perimeter P.

P = 2(l+b)

And we know that the total length of fencing available is 1000 yards.

Therefore:

P = 2(l+b) = 1000yds...(1)

To get the maximum rectangular area, we have to find the value of l and b that will make A maximum where A = l.b

Also, we know that there will be three plots of equal width.

Therefore, the width of each plot will be given by the ratio (l:b:b:l) in the order of the arrangement.

Therefore,Width of each plot = b/3

We know that the total fencing required will be the sum of the fencing required to enclose the field and two internal fencings.

Total fencing required = Fencing to enclose the field + 2 * Fencing required for the internal fencings

Total fencing required = P + 2 * b/3

Length of fencing remaining = 1000 - Total fencing required

We know that the remaining length of fencing is the fencing available for the field whose rectangular area we are trying to maximize.

Therefore, the length of fencing remaining is used to find the value of b and l, which will give the maximum rectangular area of the rectangular field.

b = (1000 - P)/6b = (1000 - 2(l+b))/6b

= (1000 - 2l - 2b)/6b = (500 - l)/3

Substituting equation (1) into the above equation gives:

b = (500 - l)/3b

= 166.67 - 0.33lb + l

= 500/2l + b

= 500/2

Therefore, the dimensions that will give the maximum rectangular area is 166.67 yards.

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Answer:

3.78 because u subtract 17.22 from 21

Answer: Please make your question clearer next time.

n= 3.78

Step-by-step Explanation:

Subtract 17.22 from both sides of the equation.

n + 17.22=22

n + 17.22 - 17.22 = 21 - 17.22

Simplify: 21 - 17.22= 3.78, Therefore n= 3.78.

Answer:

13

Step-by-step explanation:

40 devided by 3=13

27+13=40

Answer:

16

Step-by-step explanation:

because

Answer:

first answer is 65

second answer is 1,100

third answer is 560

Step-by-step explanation:

hope this helps!!!

Answer:

Step-by-step explanation:

Add the numbers and divide by 2 and you will find the average

(8.1 + 8.24) : 2 =

8.17

8.17 is exactly half way between them.