£399 is shared between ann,bill, chloe and dave. The ratio of the amount ann gets to bill gets is 2:9 chloe and dave get 2.5 times the amount ann gets.
Work out how much money bill gets

Answers

Answer 1

Answer:Bill gets £171

Step-by-step explanation:

Total Money shared = £399

The ratio of the amount Ann gets to bill gets is 2:9 Chloe and Dave get 2.5 times the amount Ann gets can be written as  

Ann : Bill   :     Chloe :   Dave

      2 : 9    : 2.5 x Ann :   2.5 x Ann

Let the amount of money

Ann gets be x

so that Bill gets 4.5x

Chloe = 2.5x

Dave = 2.5x  

So that the expression to calculate each amount gooten will be  

x + 4.5x + 2.5x + 2.5x = 399

10.5x = 399

x = 399/10.5

x=38

Therefore, Ann gets  = £38

Bill gets =4.5 x=   4.5 x £38 = £171

Chloe gets=2.5x =2.5 x £38  = £95

Dave gets=2.5x =2.5 x £38  = £95


Related Questions

A teacher buys the folders listed below
• 5 boxes of red folders with 36 folders in each box
• 6 boxes of blue folders with 32 folders in each boxes

Which number is closest to the total number of red and blue folders that the teacher buys?

Answers

180 Red folders, 192 Blue folders, and 372 total folders.

Step-by-step explanation:

I'm not sure if I'm doing this correctly but it seems fitting to me, so basically, I multiplied 5x36 to get 180, then multiplied 6x32 to get 192. Next, I added 180+192 to get 372 total folders.

the importance of wearing a school uniform​

Answers

Answer:

learns feel safe and healthy maybe other people when they see the uniform they know what school that uniform is

hope is the answer your where looking for.

The radius of the circle below is 73 cm.
Work out the circumference of the circle in
metres.
Give your answer to 1 d.p.
73 cm

Answers

The circumference of a circle is 4.5 meters to one decimal place.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

Given:

The radius of the circle below is 73 cm.

To calculate the circumference of a circle:

Multiply the diameter of the circle with π (pi).

The circumference can also be calculated by multiplying,

radius with pi (π=3.14).

That means,

2 x (3.14) x 73

= 458.44 centimeters.

In meters,

1 meter = 100 centimeters.

So, 458.44 centimeters = 4.5844

And 4.5 to one decimal place.

Therefore, 4.5 meters are the circumference of a circle.

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PLEASE HELP!! Write an equation that represents the line!!

PLEASE HELP!! Write an equation that represents the line!!

Answers

Answer:

y - -1/2x - 3.5

Step-by-step explanation:

Using the y=mx+b format, m is the slope which is -1/2. I got this by doing rise over run. Since you have go down once, and right twice, the slope is -1/2. b is the y-intercept, or the point at which the line hits the y axis when x is 0. The intercept lies at -3.5. Hence the equation for this line is y = -1/2x - 3.5

Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue

Answers

They should use 6 cup of Noah's measuring cup

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Recipe call = 3/4Noah's cup = 1/8Number of cup = ?

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

quiz 7the following table shows the individual measurements for five samples taken every 15 minutes starting at 10:00 am to be used in monitoring the quality of a process.10:00 am2.01.82.01.810:15 am2.02.02.02.010:30 am1.81.92.12.210:45 am2.12.11.91.911:00 am1.62.02.21.71. how many measurements are in each sample?2. suppose a mean control chart is being used with an upper limit of 2.2 and a lower limit of 1.8. using the data above, what would be the first point to plot on the control chart?

Answers

The first point to plot on the mean control chart would be at 1.9 at control chart with both limits.

1. There are four measurements in each sample, as shown in the table.

2. To plot the first point on the mean control chart, we need to calculate the mean of the first sample. Adding up the four measurements from the 10:00 am sample (2.0 + 1.8 + 2.0 + 1.8) gives a total of 7.6. Dividing by the number of measurements in the sample (4) gives a mean of 1.9. Since the mean is within the control limits of 1.8 and 2.2, the first point on the chart would be plotted at 1.9.
1. To determine how many measurements are in each sample, we simply count the number of measurements provided for each time.

10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)

Each sample contains 4 measurements.

2. To plot the first point on a mean control chart, we need to calculate the mean of the first sample (10:00 am).

Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4
Mean = 7.6 / 4
Mean = 1.9

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1. There are 4 measurements in each sample.

2. The first point to plot on the mean control chart would be 1.9, corresponding to the 10:00 am sample.

To determine the number of measurements in each sample, simply count the number of values for each time point.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
There are 4 measurements in each sample.
To plot the first point on the mean control chart, calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4 = 7.6 / 4 = 1.9.

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David ran 3 miles today. He usually runs 5 miles everyday. What percent of his usual mileage did David run today?

Answers

3/5
1/5=20%
2/5=40%
3/5=60%
so he ran 60% of his usual run

Answer:

David ran 60% of his usual miles everyday.

Step-by-step explanation:

To figure this out first you do 3/5 which is the amount of miles he ran divided by the amount of miles he usually runs.

Then you get 0.6 which is in decimal form.

To convert to percent you have to multiply 0.6*100

=60

So he ran 60% of his usual mileage.

Two people stand on opposite ends of a bridge that crosses a river. Both can see an island located in the river. The angle
formed at the location of the first person is 37' and the angle formed at the second person is 55'. If the bridge is 5280 feet
long, how far is the first person from the island?

Answers

Answer:

The first person is about 4327.76 feet away from the island.

Step-by-step explanation:

We can draw a diagram to represent the situation. This is attached below.

Essentially, we want to find the value of x.

We are given that ∠A is 37° and ∠B is 55°.

The interior angles of a triangle must total 180°. Hence:

\(m\angle A+m\angle B+m\angle C=180\)

Substitute:

\((37)+(55)+m\angle C=180\)

Thus:

\(\displaystyle m\angle C=88^\circ\)

We are also given that the length of the bridge is 5,280 feet. Since we want to find x, we can use the Law of Sines:

\(\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\)

The variables do not really matter. It is more important that we align the angles with their respective (i.e. opposite) sides.

The respective side to ∠C is AB which measures 5280.

The respective angle to x is ∠B, which is 55°.

Hence:

\(\displaystyle \frac{\sin(55)}{x}=\frac{\sin(88)}{5280}\)

Solve for x. Cross-multiply:

\(x\sin(88)=5280\sin(55)\)

Thus:

\(\displaystyle x=\frac{5280\sin(55)}{\sin(88)}\)

Use a calculator:

\(\displaystyle x\approx 4327.76\text{ feet}\)

The first person is about 4327.76 feet away from the island.

Two people stand on opposite ends of a bridge that crosses a river. Both can see an island located in

The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
a. True
b. False

Answers

The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Select a statement that is incorrect about Linear Regression.

a. A multiple linear regression model can have multiple independent variables as in: y = a +b1*x1 + b2*x2 +b3*x3.

b. Linear regression finds the best fit line by maximizing the sum of squared errors of (y-y_predicted), where y is an individual data point and y_predicted is the predicted value from the predicted line.

c. The popular measures of Linear Regression results include Root Mean Square Error, Sum of Square Error, and R2 (or known as R squared)

. d. Linear regression produces poor results when there are many missing values or outliers in input data.

Answers

The statement that is incorrect about Linear Regression is option d: "Linear regression produces poor results when there are many missing values or outliers in input data."

Linear regression is a statistical modeling technique used to establish a linear relationship between a dependent variable and one or more independent variables. Let's analyze each statement to identify the incorrect one:

a. This statement is correct. Multiple linear regression models can have multiple independent variables, allowing for the inclusion of several predictors in the model.

b. This statement is correct. In linear regression, the best fit line is determined by minimizing the sum of squared errors (SSE) or maximizing the goodness of fit. The SSE represents the squared differences between the actual values (y) and the predicted values (y_predicted) obtained from the regression line.

c. This statement is correct. Root Mean Square Error (RMSE), Sum of Squares Error (SSE), and R2 (coefficient of determination) are commonly used measures to assess the performance and accuracy of linear regression models.

d. This statement is incorrect. Linear regression is robust to missing values and outliers, meaning it can still produce valid results even in the presence of such data points. However, outliers can have a disproportionate impact on the regression line, potentially influencing the model's performance and the interpretation of the results. Therefore, it is important to identify and handle outliers appropriately in order to obtain reliable regression estimates.

In summary, the incorrect statement is d, as linear regression can still provide meaningful results even in the presence of missing values or outliers. However, outliers can affect the model's performance and interpretation, so proper handling is necessary.

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Give an example of a matrix A and a vector b such that the solution set of Ax = b is a line in Rº that does not contain the origin. A=____ b =_____

Answers

this line does not pass through the origin (0, 0), since the vector x = [0, 0] does not satisfy the equation Ax = b.

One possible example is:

A = [[1, 2], [2, 4]]

b = [3, 6]

The solution set of Ax = b is the set of all vectors of the form x = [x1, x2] such that:

x1 + 2x2 = 3

2x1 + 4x2 = 6

Solving this system of equations, we get:

x1 = 3 - 2x2

x2 = x2

So the solution set is the set of all vectors of the form x = [3 - 2x2, x2]. This is a line in R² with slope -2 and y-intercept (3, 0)

Note that this line does not pass through the origin (0, 0), since the vector x = [0, 0] does not satisfy the equation Ax = b.

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There are 5 inches of water in a bucket after 212 hours of a rainstorm. How much water will there be in the bucket after 8 hours if the rain continues at the same rate?

Answers

Answer:

0.188 inches

Step-by-step explanation:

Given that,

There are 5 inches of water in a bucket after 212 hours of a rainstorm

We need to find how much water will there be in the bucket after 8 hours if the rain continues at the same rate.

5 inches = 212 hours

1 hour = (5/212) inches

For 8 hours,

\((\dfrac{5}{212})\times 8\\\\=0.188\ \text{inhces}\)

Hence, there will be 0.188 inches of water after 8 hours.

How many single receptacles can be installed in a two-gang box that is made using two single-gang boxes that are ganged together

Answers

Two single receptacles can be installed in a two-gang box made up of two single-gang boxes ganged together.

A two gang-box is a square electrical box, also called a double-gang box, houses two devices. The two gang-box have a combination switch/outlet or a pair of switches/outlets inside that can control two lighting circuits.

A two-gang box made up of two single-gang boxes which are ganged together can install two single receptacles- receptacles refer to the openings in the gang box into which electronics can be plugged.

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Thirteen less than eight times a number is three more than four times the number.
What is the number?

Answers

Answer:

Step-by-step explanation:

Let the number = x

8x - 13 = 4x + 3              Add 13

8x = 4x + 3 + 13             Combine

8x = 4x + 16                   Subtract 4x

8x - 4x = 16                    Combine

4x = 16                           Divide by 4

x = 16/4

x = 4

The members of an Olympiad team contributed
a total of $ 1.69 for refreshments for their
weekly practices. Each member contributed the
same amount and paid for his or her share in
five coins. How many nickels were contributed
by all of the members?

Answers

Answer:

26 nickels

Step-by-step explanation:

Given that

Total contributed = $1.69

Number of coins = 5

based on the above information,

The number of nickels to be contributed is

Here first we have to determine the prime factors of 169 i.e 13 and 13

This represents that there are 13 member gives their $0.13 per person so it would be $1.69

Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels

So the 13 people contributed to 2 nickels

Therefore,  it would be

= 13 × 2

= 26 nickels

1/8 x (1/3) power of 2

1/8 x (1/3) power of 2

Answers

The answer is: 1/72 or 0.0138

A plant that floats on the surface of rural bodies of water is known as duckweed. The initial mass of a population of duckweed is 500g The mass of the population triples every Ͷͷ hours and can be represented by the function m(t)= 500x3^t/45 where (t) is time in hours. Determine how many hours it would take for the duckweed to grow to a mass triple the original size.

Answers

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

Explain function.

The mathematics curriculum involves examining numbers, the equation the environment we live in, structures, and both actual and hypothetical locations. A function is a variable representation of the relationship between the quantities of intake and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, when combined, provide unique outputs for each input.

Here,

Given :

mass of a population of duckweed is 500g

=>  function m(t)= 500x³^t/45

So,

=> t = 45 hours

Since it is given that the mass of the population of the duckweed triples every 45 hours

it is clear that the time taken for the duckweed to grow a mass triple the original size will be 45 hours .

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

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QUESTION 9 of 10: Last year your store earned $200,000. The latest trend report states that fashion industry sales will increase by 15%
annually for the next 2 years. What is your predicted sales in 2 years?

230,000
264,500
310,000
330,000

Answers

200000 * 1.15 * 1.15 = 264500

Write the following as an inequality.
6 is greater than or equal to x, and x is greater than or equal to 2
Use x only once in your inequality.

Answers

Something like this

WILL MARK BRAINLEIST!!!

Thomas wants to start a canned food collection with his friends to help the community. They bring 2 cans of food the first day, 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer.
A.The graph of the sequence would pass the vertical line test.
B.The graph of the sequence would pass the horizontal line test.
C.Each day corresponds to a unique amount of cans in the sequence.
D.They have a different amount of cans for the same day.

Answers

The statement that describes why this sequence is a function is given as follows:

A.The graph of the sequence would pass the vertical line test.

When does a relation represents a function?

A relation represents a function when each value of the input is mapped to a single value of the output.

In this problem, the input is the number of days, while the output is the number of cans. There are no repeated inputs, which means that this relation is a function.

On the graph, a relation being a function means that a vertical line will intercept the graph of the function only once, and thus option A is correct.

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Write an equation in slope-intercept form of the line through point P(–3, 6) with slope –2.

Answers

Answer:

         y = - 2x

Step-by-step explanation:

An equation in point-slope form of the line passing through point P(x₁, y₁) with slope m:   y - y₁ = m(x - x₁)

m = -2

P(-3, 6)  ⇒   x₁ = -3,  y₁ = 6

y - 6 = -2(x - (-3))

y - 6 = -2(x + 3)  ←    point-slope form

y - 6 = -2x - 6        {add 6 to both sides}

y = - 2x                 ←    slope-intercept form {intercept=0}

which equation represents the line that passes through the point (-1 -2) and (3 10)

Answers

Answer:

the answer is y = 3x + 1


So given a rectangle with a perimeter of 40, and
a length 7, what is the width?

Answers

Answer:

13

Step-by-step explanation:

7 x 2=14

40-14=26

26/2=13

Answer:

40 - 14 = 26

26/2 = 13

The width is 13

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. This week, she posted 1/3 of the remaining fliers. How many fliers has she still not posted?

Answers

The number of fliers that she has still not broadcasted will be 48 fliers.

What is Algebra?

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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question 10 a data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?

Answers

To test whether a data model is biased, one can compute the average difference between a predicted result and an actual result using the bias() function.

Unreasonably supporting or opposing someone or something because you allowed your opinions to cloud your judgement: The senator accused the media of being biased. Journalists need to be objective and free of political prejudice. Cognitive biases are systematic thinking errors that are often learned from cultural and personal experiences.

They lead to perceptional distortions when people make decisions. Even though data may appear to be objective, it can still be biased because it is gathered and handled by humans. We are not objective in the way we perceive things. Biases can be deliberate or unintentional. If given the choice between three shirts, a person might choose the one in their preferred hue above the other two.

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Correct Question:

A data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?

express 25meters as a fraction of 1 kilometer​

Answers

Answer:

1/40

Step-by-step explanation:

1000 meters = 1 kilometer

replace 1 km with 1000m

25m/1000m

simplify by dividing 25.

= 1/(1000/25)

= 1/40

Donkey Kong is rolling cylindrical barrels
of different sizes at Mario.
The DIAMETER of the barrel is 14.
What is the area of the barrel?

Answers

The expression of the area of the barrel is 14π(h + 7)

How to determine teh area of the barrel

From the question, we have the following parameters that can be used in our computation:

The DIAMETER of the barrel is 14.

This means that the radius is 7 units

The area of the barrel is calculated as

Area = 2πr(h + r)

Substitute the known values in the above equation, so, we have the following representation

Area = 2π * 7(h + 7)

Evaluate

Area = 14π(h + 7)

Hence, the area is 14π(h + 7)

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Name three possible values for a if 6.89 < a ≤ 6.94

Answers

6.90, 6.91, 6.92 are possible values
They’re Greater than 6.89 and Less than 6.94

Un coche tarda 9hrs en recorrer un trayecto siendo su velocidad de 85km/h, ¿Cuánto tardará en recorrer el mismo trayecto a 70km/h?

Answers

The time taken to travel the distance 70 Km/h is 11 hours.

What is speed distance formula?

Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took.

The formula can be rearranged in three ways:

speed = distance ÷ timedistance = speed × timetime = distance ÷ speed

Given:

time = 9 hours

speed = 85 Km/h

Now, distance

=speed * time

=85 * 9

= 765 km

As, the speed is 70 km/h

time = distance/ speed

time = 765 / 70

time = 10.92

time= 11 hours

Hence, the time taken to travel the distance 70 Km/h is 11 hours.

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The translation of the question is:

A car takes 9 hours to travel a distance with a speed of 85km/h, how long will it take to travel the same distance at 70km/h?

suppose you want to estimate the population mean with 99% confidence with a margin of error of 2.5. if the estimate of the population standard deviation is 11, what sample size is required?

Answers

I’m going back in a minute I need a little more help with the car and
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