Charles buys 60 packs of pens.
There are 12 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 40p but he only manages to sell
2
3
of the pens.
How much profit did he make

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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The number of the correct spellings is 28.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of the spellings are:-

N = 40 x 70% = 28

N = 40 x  (70/100)  =  28

Therefore the number of the correct spellings is 28.

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There are 4 possible triangles which are non-degenerate and has the perimeter 12 units.

We know that, for a non-degenerate triangle, the sides of triangle should follow the constraints, a + b > c and b + c > a and c + a > b where a, b and c are length of sides of the triangle.

In this question, we need to find the number of all possible sides of a triangle are integers whose perimeter is 12 units.

Only possible combinations are:

2  ,  5 ,   5;

3  ,  4  ,  5;

4  ,  3 ,    5;

4 ,   4 ,    4;



Therefore, there are 4 possible triangles.

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Answer:

the frequency with the largest amplitude Find the frequency w for which the particular solution to the differential equation dạy dy 2- + dt2 + 2y = eiwt dt ...

Step-by-step explanation: basically bigger is better

Answer:A

Step-by-step explanation:

The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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Step 1. There are 5 red marbles and 3 blue marbles, 8 marbles in total:

Step 2. Two marbles are drawn simultaneously, which means that there is no replacing of the marbles.

To make the tree diagram with the probabilities for each marble, remember the probability formula:

The three will look as follows:

For the first marble, the probability of getting a red one is 5/8 because there are 5 red marbles out of a total of 8, and similar to the first one is blue.

For the second marble, we consider that the total number of marbles is now 7.

Step 3. To find the probability of each combination, we multiply the values of each branch:

The results of the multiplications is:

The ones that have at least one red marble are the first three branches: red-red, red-blue, and blue-red.

To find the probability of at least one red marble, we add the results of the first three branches:

The result is:

The probability is 50/56.

The fraction can be simplified to:

The probability simplified is 25/28.

Answer:

Answer:

x³ - 4x² - 16x + 24

Step-by-step explanation:

Step 1: Write expression

(x - 6)(x² + 2x - 4)

Step 2: Distribute each term

x³ + 2x² - 4x

-6x² - 12x + 24

Step 3: Combine

x³ + 2x² - 4x - 6x² - 12x + 24

Step 4: Combine like terms

x³ - 4x² - 16x + 24

Answer:

40 minutes

Step-by-step explanation:

600/15. it'll take 40 minutes for it to leak out completely

Answer: So I’m not sure wut ur asking?

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x + 6 = 46. Is x = 8

5x + 6 = 46

subtract 6 to each side

5x + 6 - 6 = 46 - 6

simplify:

5x = 46 - 6

divide 5 both sides

x = 40 / 5

simplify:

x = 8

Answer:

Yes.

Step-by-step explanation:

\(5x+6=46\)

To check to see if x = 8 is a solution, replace 'x' with 8 and evaluate.

\(5(8)+6=46\\\\40+6=46\\\\\boxed{46=46}\)

We get a true statement. This means that x = 8 is a solution to the equation.

Hope this helps.

With the help of two variable equations, the two numbers are 8 and 16.

There are three ways to solve equations-

1. Substitution method

2. Elimination method

3. Graphing method.

Now, let the number be x and y.

Therefore, the sum of two numbers is twenty-four,  x+y= 24

Now, given that,

3x-4=2y-12

3x-2y=-8

2y-3x=8

Now, substituting the value of y in the equation

2(24-x)-3x=8

40=5x

x=8

Therefore, the two numbers are 8 and 16.

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Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

A linear function has a constant rate of change. To find the equation of the function, we need to determine the slope and y-intercept.

Using the given points, we can calculate the slope as:

slope = (change in y) / (change in x)

= (3 - 10.5) / (-0.5 - (-3))

= -7.5 / 2.5

= -3

To find the y-intercept, we can use one of the points and the slope in the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept.

Using the point (-0.5, 3), we can substitute the slope and solve for b:

3 = (-3)(-0.5) + b

3 = 1.5 + b

b = 1.5

Therefore, the equation that represents the same relationship as the given points is:

y = -3x + 1.5

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The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2

The standard equation of a line graph is expressed as \(y=mx+c\)

m is the slope of the line

c is the y-intercept

Given: coordinate points  (-2, 2) and (-2, -3)

The coordinates are in the form of (x₁,y₁) and (x₂,y₂)

Slope of the equation is \((\frac{y2-y1}{x2-x1})\)

So ,slope=\((\frac{-3-2}{-2+2})\)

               =\((\frac{-5}{0})\)

               =∝

Since the slope of infinity, this shows that the line is a vertical line. The standard equation of a vertical line is x = a

Since the x-coordinates are similar, hence a = -2

The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2

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If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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Answer:

Therefore, the longest side of the triangle has a length of 15.

Step-by-step explanation:

To solve the problem, we can use the fact that the perimeter of a triangle is the sum of the lengths of its three sides. We are given that the sides of the triangle have lengths 3x, 2x - 2, and 5x, so we can write:Perimeter = 3x + (2x - 2) + 5x

28 = 10x - 2Solving for x, we get:10x = 30

x = 3Now that we have found x, we can substitute it into the expression for the sides of the triangle to find their actual lengths:The length of the first side is 3x = 3(3) = 9The length of the second side is 2x - 2 = 2(3) - 2 = 4The length of the third side is 5x = 5(3) = 15Therefore, the longest side of the triangle has a length of 15.

the answer is c why not cheat off ur friends

Answer:

216

Step-by-step explanation:

Split the image into geometric shapes, and then calculate the area of each shape, then add them all up to get your grand total of 216

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the lower right triangle.

tan25° = \(\frac{opposite}{adjacent}\) = \(\frac{h_{1} }{300}\) ( multiply both sides by 300 )

300 × tan25° = h₁ , then

h₁ ≈ 140 m ( to the nearest metre )

Using the tangent ratio in the outer right triangle

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{h_{1}+h_{2} }{300}\) ( multiply both sides by 300 )

300 × tan60° = h₁ + h₂ ≈ 520 m ( to the nearest metre )

Thus

h₁ + h₂ = 520

140 + h₂ = 520 ( subtract 140 from both sides )

h₂ = 380 m

In conclusion

h₁ = 140 m and h₂ = 380 m

It should include 653 medical files in a random sample to be 90% confident that the point estimate will be within 0.01 from p.

To determine the sample size needed for estimating the proportion with a certain level of confidence, we can use the formula:

n = (Z^2 * p * q) / E^2

where:

- n is the required sample size

- Z is the critical value corresponding to the desired confidence level

- p is the preliminary estimate of the proportion

- q = 1 - p

- E is the margin of error

In this case, we want to be 90% confident that the point estimate will be within 0.01 from p. Therefore, the confidence interval is 90%, which corresponds to a critical value Z. The critical value can be obtained from a standard normal distribution table or a statistical calculator. For a 90% confidence level, the critical value is approximately 1.645 (rounded to 2 decimal places).

Given the preliminary estimate p = 0.52 (52% people have blood type B), the margin of error E = 0.01, and the critical value Z = 1.645, we can calculate the required sample size:

n = (1.645^2 * 0.52 * 0.48) / 0.01^2

n ≈ 652.83

Rounding up to the nearest whole number, the required sample size is 653.

Therefore, you should include 653 medical files in a random sample to be 90% confident that the point estimate will be within 0.01 from p.

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The amount in her account decreased $468 dollars. Leaving her with $7,332.

Answer:

Hello,

Here is your answer:

2/6

The cups of flour is needed for a big batch of cookies that uses 12 cups of oatmeal is 9 cups.

Cross multiplying is the process of multiplying the first fraction's numerator, which is on one side of the equals to symbol, by the second fraction's denominator, which is on the other side of the equals to sign. The second fraction's numerator is multiplied by the denominator of the first fraction in a similar manner. Cross multiply is another name for the butterfly method or cross-multiplication. The cross-multiplication approach is used to find one or more variables in a fraction.

3 cups of flour for every 4 cups of oatmeal.

3 cups of flour = 4 cups of oatmeal

Therefore cups of flour for 12 cups of oatmeal can be found out by cross multiplication,

Multiply no. of cups of oatmeal with number of cups of flour

That is, 12 x 3 = 36

Divide this by number of cups of oatmeal for 4 cups of flour

That is 36 ÷ 4 = 9

Therefore, flour is needed for a big batch of cookies that uses 12 cups of oatmeal is 9 cups.

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The value of h that makes the vectors linearly dependent is h = 4.

What is the determinant?

The determinant is a mathematical operation defined for square matrices. It is denoted by the symbol det(A) or |A|, where A represents a square matrix.

To determine the value(s) of h for which the vectors [3, -3, 9], [9, -12, 26], and [-2, 2, h] are linearly dependent, we need to check if there exists a non-trivial solution to the equation:

a[3, -3, 9] + b[9, -12, 26] + c[-2, 2, h] = [0, 0, 0],

where a, b, and c are constants.

Expanding this equation, we get:

[3a + 9b - 2c, -3a - 12b + 2c, 9a + 26b + ch] = [0, 0, 0].

This leads to the following system of equations:

3a + 9b - 2c = 0,   (1)

-3a - 12b + 2c = 0,  (2)

9a + 26b + ch = 0.  (3)

To determine if there exists a non-trivial solution, we can perform row reduction on the augmented matrix of this system.

The augmented matrix is:

[3   9  -2 | 0]

[-3 -12  2 | 0]

[9   26  h | 0]

By applying row reduction operations, we can simplify the matrix:

[R2 + R1 → R2]

[R3 - 3R1 → R3]

[R3 - 3R2 → R3]

[R2/(-3) → R2]

[3   9  -2  | 0]

[1   4  -2  | 0]

[0   0  h-4 | 0]

From the reduced row echelon form, we see that for the vectors to be linearly dependent, the determinant of the coefficient matrix must be zero:

det([3  9  -2]

   [1  4  -2]

   [0  0  h-4]) = 0.

Expanding this determinant, we get:

3(4(h - 4) - (-2)(0)) - 9(1(h - 4) - (-2)(0)) + (-2)(1(0) - 4(h - 4)) = 0.

Simplifying the equation gives:

12h - 48 + 9h - 36 + 8h - 32 = 0,

29h - 116 = 0,

29h = 116,

h = 116/29,

h = 4.

Therefore, the value of h that makes the vectors linearly dependent is h = 4.

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Answer:

You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.

Step-by-step explanation:

Hope this helps!

Brainliest please!

Answer:

x= -2

Step-by-step explanation:

First you distribute then subtract the non- x number over to the other side and finally you divide

The temperature of the turkey 45 minutes after being removed from the oven is approximately 138.6°F.

It will take approximately 2.32 hours (or 2 hours and 19 minutes) for the turkey to cool from 185°F to 100°F.

The rate at which the turkey cools can be modeled using Newton's Law of Cooling, which states that the rate of cooling of an object is proportional to the difference between its temperature and the temperature of its surroundings. Using this law, we can write:

dT/dt = -k(T - Ts)

where dT/dt is the rate of change of temperature with respect to time, k is a constant of proportionality, T is the temperature of the turkey at time t, and Ts is the temperature of the surroundings (75°F in this case).

Solving this differential equation gives:

T(t) = Ts + (T0 - Ts)e^(-kt)

where T0 is the initial temperature of the turkey (185°F in this case).

Using the fact that the temperature of the turkey is 145°F half an hour after being removed from the oven, we can solve for k:

145 = 75 + (185 - 75)e^(-k*0.5)

which gives k = 0.0736.

Using this value of k, we can solve for the temperature of the turkey at 45 minutes (or 0.75 hours) after being removed from the oven:

T(0.75) = 75 + (185 - 75)e^(-0.0736*0.75) = 138.6°F.

To find the time it takes for the turkey to cool from 185°F to 100°F, we can solve for t when T(t) = 100:

100 = 75 + (185 - 75)e^(-0.0736*t)

which gives t ≈ 2.32 hours.

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Answer:

54

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated