Last year Melissa was paid £2200 per month.Last year Natalie was paid £3200 per month. Melissaʼs salary is increased by 35. Natalieʼs salary is increased by 18. Who is paid more each month this year? You must show your workings.

Answers

Answer 1

Natalie is paid more each month this year with £3776.

What is salary ?

Salary is a fixed amount of money  paid to an employee by an employer in return for work performed. It is usually paid on a regular basis such as weekly, bi-weekly, or monthly. Salaries are typically based on the employee's job title, level of responsibility and the company's budget and compensation policies.

solution

Melissa's salary this year is £2200 + £2200 * 35/100 = £2970.

Natalie's salary this year is £3200 + £3200 * 18/100 = £3776.

Therefore, Natalie is paid more each month this year with £3776.

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Related Questions

the statistic x¯ is used as an estimator for which of the following?

Answers

As a point estimator for, we utilise x-bar (sample mean) (mu, population mean)

What is mean or average?

The average value in mathematics is the middle number, which is calculated by dividing the total number of numbers by the sum of all the numbers. A set of data's average is calculated by adding up all the values and dividing the result by the total number of values.

We use the x-bar (sample mean) as a point estimator for (mu, population mean). As long as the sample is random, this estimator's impartial long-run distribution is centred at (mu).

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Complete question -

Steve is driving 280 miles to visit the Grand Canyon he drives at an average rate of 56 mph find the amount of time it will take Steve to get to the Grand Canyon it will take Steve Blank hours to get to the Grand Canyon

Answers

Answer:

5 hours.

Step-by-step explanation:

280 divided by 56 is 5.

PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The function f(x) = x + 6 represents the length of a rectangle, and the function g(x) = 9x − 4 represents the width of the rectangle. What is the area of the rectangle if x = 2?
168
112
22
−144

Answers

Answer:

A = 112

Step-by-step explanation:

Area of rectangle = LW

x = 2

L = x + 6 = 2 + 6 = 8

W = 9x − 4 = 9(2) − 4 = 18 - 4 = 14

A = LW = 8(14) = 112

Answer: A = 112          

Your welcome for the help                                                                                                    

Please help !!!



x 0,5,10

g(x) 325,400,475




Part A: Find and interpret the slope of the function. (3 points)

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)

Part C: Write the equation of the line using function notation. (2 points)

Part D: What is the balance in the bank account after 12 days? (2 points)

Answers

By applying the linear equation concept, it can be concluded that:

A. The slope of the line is 15

B. The standard form of the equation is 15x - y + 325 = 0

C. The function notation of the equation is g(x) = 15x + 325

D. The balance in the bank account after 12 days is $505

Linear equation is an equation that contains one or more variables, where each variable has the power of one.

The standard form of a linear equation is y - y₁ = m(x - x₁) or ax + by + c = 0, where m is the slope of the function.

Slope of the function represents the change in y (Δy) over the change in x (Δx). m = Δy / Δx

We have the following table:

x         0       5       10

g(x)   325   400   475

A. To find the slope of the line, we calculate the value of Δy  dan Δx:

Δy = y₂ - y₁

    = 400 - 325

    = 75

Δx = x₂ - x₁

     = 5 - 0

     = 5

m = Δy / Δx

   = 75 / 5

   = 15

B. To find its standard form, we can input the value of one point into y - y₁ = m(x - x₁):

            y - y₁ = m(x - x₁)

        y - 325 = 15 (x - 0)

        y - 325 = 15x - 0

15x - y + 325 = 0

C. function notation changes the y to g(x), so we get:

   15x - y + 325 = 0

15x - g(x) + 325 = 0

                  g(x) = 15x + 325

D. The balance in the bank account after 12 days can be calculated by substituting the value of x = 12 into the function:

g(x) = 15x + 325

      = 15 · 12 + 325

      = 180 + 325

      = $505

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GEOMETRY Triangle KLM is shown. Graph the image of the triangle after a dilation centered at the origin with a scale factor of 2

Answers

When ΔKLM is dilated with a scale factor of 2 the new ΔK'L'M' has vertices K'(4,10), L'(8,4) and M'(4,4).

What is dilation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.

The ΔKLM has the coordinates of vertices - K(2,5), L(4,2) and M(2,2)

If the scale factor is 2, then every coordinate point of the original triangle is multiplied by the scale factor 2.

When the triangle is dilated with the scale factor of 2, the coordinate points formula becomes -

(x,y) → (2x,2y)

So, obtain the new triangle ΔK'L'M' -

K(2,5) → [2(2),2(5)] → K'(4,10)

L(4,2) → [2(4),2(2)] → L'(8,4)

M(2,2) → [2(2),2(2)] → M'(4,4)

The graph for the new coordinates have been ploted.

Therefore, the new coordinates are K'(4,10), L'(8,4) and M'(4,4).

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What is 15 1/2 - 1 11/20 and how would you solve this please do step by step!

Answers

Step-by-step explanation:

the simplest way for me is

1. to convert both terms into full fractions (not mixed numbers).

2. then to bring both fractions to the same denominator.

3. and then do the actual calculation.

and if needed, we can

4. then convert the result back into mixed numbers.

1.

15 1/2 = (15×2 + 1)/2 = 31/2

1 11/20 = (1×20 + 11)/20 = 31/20

2.

we need to convert 31/2 into a fraction .../20, so that we can actually combine it with the 31/20.

how do we get from 2 to 20 ? by multiplying by 10.

in order to keep the value of the fraction unchanged, we need to do the same multiplication also to the numerator :

31/2 × 10/10 = 310/20

3.

310/20 + 31/20 = 341/20

4.

341/20 = (17×20 + 1)/20 = 17 1/20

to get this you do an integer division and note the remainder.

341/20 = 17 remainder 1

parametrize the portion of the parabola, x=2y^2-4 where -1

Answers

The portion of the parabola from t=-1 to t=1 can be parametrized as x=2t²-4 and y=t.

A parabola is a symmetrical and U-shaped curve that is defined by a mathematical equation.

In this case, we will use the variable t to represent the y-coordinate and find the corresponding x-coordinate. The equation becomes y=t, and substituting this into the original equation, we get

=> x=2t²-4.

To find the portion of the parabola where -1≤t≤1, we can plot the points (x, y) for various values of t in this range.

when t=-1,

=> x=2(-1)²-4 = 0.

And when

t=1, x=2(1)²-4 = -2.

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A local parking garage charges $6.00 for up to and including 1 hour of parking. Each additional hour, or any part thereof, costs $2.40.


Write a function, c(t), to model the cost of parking a car as a function of the time, t, that the car is parked in the garage.

Answers

The function of parking in the garage is C(t) = 6 + 2.4t

How to determine the function of parking in the garage

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

Rate each hour = 2.40

Initial rate = 6.00

The function is then represented as

C(t) = Initial rate + Rate each hour * number of hours

So, we have:

C(t) = 6 + 2.4t

Hence, the function is C(t) = 6 + 2.4t

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the capacity of an elevator is either children or adults. if children are currently in the​ elevator, how many adults can still get​ in?

Answers

The capacity of the elevator is 15 children or 11 adults. If 9 children are currently on the elevator, then there are 15 - 9 = 6 spots available for either children or adults.

However, since the maximum number of adults the elevator can hold is 11, the answer to the question is 11 - 9 = 2 adults can still get in.

You can act for the unknown amounts by the use of variables. Follow ignoring the description is and convert it one by one mathematically. For example, if it is asked to increase some item by 5, then you can add 5 in that item to increase it by 5.

If a thing is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

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-15/4(2x-2/3)<64+11/4x help

Answers

Answer:

[-23.27 < x]

Step-by-step explanation:

Distribute -15/4 to the numbers in the parenthesis:

[tex]\frac{-15}{4}*2x[/tex] = [tex]-\frac{30}{4}[/tex]

[tex]\frac{-15}{4}*-\frac{2}{3}[/tex] = [tex]\frac{5}{2}[/tex]

[tex]-\frac{30}{4} + \frac{5}{2} < 64 + \frac{11}{4}x[/tex]

Combine like terms:

[tex]-5 < 64 + \frac{11}{4}x[/tex]

Subtract 64 from both sides:

[tex]-64 < \frac{11}{4}x[/tex]

Multiply both sides by 4:

[tex]-256 < 11x[/tex]

Divide both sides by 11:

[tex][-23.27 < x][/tex]

discuss how discrete mathematics led to fewer cultural distinctions and where mathematics became more a unifying language of its own.

Answers

Discrete mathematics is a branch of mathematics that deals with objects that can assume only distinct, separated values and can be counted. It has played a significant role in reducing cultural distinctions by providing a unifying language for the field of mathematics and a common understanding for solving problems across cultures.

Through discrete mathematics, people from different backgrounds and cultures can communicate and collaborate more effectively, breaking down cultural barriers and promoting unity.

For example, discrete mathematics has been used to create algorithms that solve complex problems in computer science, cryptography, and optimization, making it possible for people from different cultures to work together to solve these problems.

Additionally, the standardization of mathematical language and symbols through discrete mathematics has made it easier for people to understand and share mathematical ideas across cultures, further promoting unity and reducing cultural distinctions.

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Is this the answer anyone???

Answers

The number of hot dogs will Team A need to sell to reach its goal is 690.

What is the linear equation in one variable?

A linear equation in one variable is an equation that can be written in the form: y = mx + b,where "x" is the independent variable, "y" is the dependent variable, "m" is the slope of the line, and "b" is the y-intercept.

Let the number of dogs be x.

1.48x - 20 = 1000
1.48x = 1020
x = 1020/1.48
x = 690

Hence, the number of hot dogs will Team A need to sell to reach its goal is 690.

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Geometry worksheet. Can someone help please?

Answers

For the given geometry the perimeter is 37 units, area is 118.55 square units and the type is pentagon.

What is area of a pentagon?

The space enclosed by a pentagon's sides is referred to as the pentagon's area. Various techniques can be used to compute it depending on the dimensions that are known. The kind of pentagon also makes a difference. For instance, if it is a normal pentagon, the area can be determined using a single formula; but, if it is an irregular pentagon, we must divide it into various polygons and add their areas to determine the pentagon's area.

The perimeter is the sum of length of all the sides of a pentagon.

P = 5s

P = 5(7.4) = 37 units.

The area of the pentagon is given as:

A = 1/2 (P)(a)

Substitute the value of P = 37 and a = 6.4086:

A = 1/2 (37)(6.4086) = 118.55 square units.

Type: Pentagon.

Hence, for the given geometry the perimeter is 37 units, area is 118.55 square units and the type is pentagon.

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A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines l, j, m, and d over the course of a month. Which line represents an artist whose downloads remained constant over the month?

Answers

By applying linear equation concept, it can be concluded that the line representing the artist whose downloads have remained constant over the month is the horizontal one, line m.

Linear equation is an equation that contains one or more variables, where each variable has the power of one.

Linear equation graph with a particular slope will be formed if this equation is depicted in a Cartesian diagram. The slope is usually called the gradient of the line (m), so the equation can be written as y = mx + c.

If the line graph is sloping to the right indicates that the gradient is positive. Conversely, if the line graph is sloping to the left indicates that the gradient is negative.

Therefore, the line representing the artist whose downloads have remained constant over the month is the horizontal one, line m.

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Solve each equation, and write the algebraic reason for each step.
1. 3y+5=2y-8
2. -2(x-1)=3x-13
3. 3b+4+b=16

Answers

The equations are solved to give

1. y = 13

2. x = 3

3. b = 3

How to determine the solution to the expressions

It is important to note that algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.

From the information given, we have that the expressions are;

3y+5=2y-8

Now, collect like terms

3y - 2y = -8 - 5

subtract the like terms

y = 13

-2(x-1)=3x-13

expand the bracket

-2x + 2= 3x - 13

collect like terms

-2x -3x = -13 - 2

subtract the like terms

-5x = -15

x = 3

3b+4+b=16

collect like terms

4b = 12

b = 3

Hence, the values are 13. 3 and 3

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how to find class width

Answers

To determine the width:

By deducting the lowest point from the highest, get the range of the full data set.By how many classes there are, divide it.Round up this number (usually, to the nearest whole number).

What is class width?When all the classes inside a distribution have the same width, the distance between the maximum and minimum bounds of the distribution is referred to as the class width. The distance between the bottom bounds of two successive classes is another name for the class breadth. Class width in a frequency distribution is the distance between the upper and lower limits of any class or category. Example: The first class's class breadth is 5-1, or 4. For the second class, the class size is 10-6, or 4, and so on. The size of a class interval, also known as the class width, class size, or class length, is the distance between the lower and upper class boundaries.

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A number is a restriction on a rational expression if the number makes the denominator of the rational expressionTrueFalse

Answers

Answer: The values that make the denominator equal to zero for a rational expression are known as restricted values. How do you identify restrictions in rational expressions? The restriction is that the denominator can not be equal to zero. So in this problem, since 4x is in the denominator it can not equal zero.

The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed as:


v= √2gH tanh (√2gH/2L. T)


where g = 9. 81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Develop a MATLAB script that


a. Plots the function f(H) versus H for H = 0 to 4 m (make sure to label the plot) and

b. Uses LastNameBisect with initial guesses of xl = 0 and xu = 4 m to determine the initial head needed to achieve υ = 5 m/s in 2. 5 s for a 4-m long pipe.

Answers

The equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.

The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed using the equation:

v= √2gH tanh (√2gH/2L. T)

where g = 9. 81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s).

To plot the velocity function f(H) versus H for H = 0 to 4 m, we can use MATLAB to create a script that uses the equation to calculate the velocity for each value of H. We can then plot the points on a graph, with H on the x-axis and v on the y-axis.

To determine the initial head needed to achieve υ = 5 m/s in 2. 5 s for a 4-m long pipe, we can use the LastNameBisect method with initial guesses of xl = 0 and xu = 4 m. This will use the equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.

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in chemistry class, a student has earned scores of 64, 69, and 73 on three tests. they must maintain an average of 70 to pass the course. what score must the student earn on the final exam to pass the course?

Answers

The student must earn a 74 on the final exam to pass the course with an average of 70.

The student's current average score is (64 + 69 + 73) / 3 = 66.

To find the score the student needs to earn on the final exam to maintain an average of 70, we can set up an equation:

(64 + 69 + 73 + x) / 4 = 70

Where x is the score the student needs to earn on the final exam.

Solving for x:

(64 + 69 + 73 + x) = 280

x = 280 - 64 - 69 - 73 = 74

So, the student must earn a 74 on the final exam to pass the course with an average of 70.

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trigonometric ratios in right triangles calculator

Answers

A trigonometric ratios calculator is a tool that helps you find the sine, cosine, and tangent ratios in a right triangle. To use a trigonometric ratios calculator, you need to enter the lengths of the sides of the right triangle and the calculator will calculate the values of the sine, cosine, and tangent ratios for the angles in the triangle.

Here's how you can use a trigonometric ratios calculator to find the sine, cosine, and tangent ratios in a right triangle:

1. Enter the lengths of the sides of the right triangle into the calculator.

2. Select the angle for which you want to find the trigonometric ratios.

3. The calculator will display the values of the sine, cosine, and tangent ratios for the selected angle.

Note that the trigonometric ratios are defined only for right triangles, so it's important to make sure that the triangle you are working with is a right triangle before using a trigonometric ratios calculator.

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A trigonometric ratios calculator is a tool that helps you find the sine, cosine, and tangent ratios in a right triangle. To use a trigonometric ratios calculator, you need to enter the lengths of the sides of the right triangle and the calculator will calculate the values of the sine, cosine, and tangent ratios for the angles in the triangle.

Here's how you can use a trigonometric ratios calculator to find the sine, cosine, and tangent ratios in a right triangle:

1. Enter the lengths of the sides of the right triangle into the calculator.

2. Select the angle for which you want to find the trigonometric ratios.

3. The calculator will display the values of the sine, cosine, and tangent ratios for the selected angle.

Note that the trigonometric ratios are defined only for right triangles, so it's important to make sure that the triangle you are working with is a right triangle before using a trigonometric ratios calculator.

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how can you plot a one dimensional vector field on the real line for a differential equation in python

Answers

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation.

Can Python solve differential equations?Using the Scipy.integrate package and the functions odeint or solve ivp, one can use Python to solve differential equations. t: Time points at which the solution should be reported To maintain the precision of the answer, additional internal points are frequently calculated but are not reported.Differential equations can be solved using the Python library diffeqpy. Its basic routines use DifferentialEquations. jl to provide high performance solving of a variety of differential equation types, such as: Function mapping and discrete stochastic (Gillespie/Markov) simulations are examples of discrete equations.ODE gives us a technique to represent the dynamic changes in specified variables numerically. Imagine taking a picture of the outdoors; this image lacks any motion, making it a static system. A static system is the reverse of that.

Here i attached answer.

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Sandy used a virtual coin toss app to show the results of flipping a coin 50 times, 400 times, and 2,000 times. Explain what most likely happened in Sandy's experiment.

Sandy's experimental probability was closest to the theoretical probability in the experiment with 2,000 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 400 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 50 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

Answers

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

find equivalent fractions to compare. Then write >< or =



please tell the multiples too.

Answers

The equivalent fractions are
1.) 5/6 > 4/6

5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8

what is a fraction?

A fraction is a mathematical expression that represents a part of a whole or a division of one quantity into equal parts. It consists of two parts, a numerator and a denominator. The numerator represents the number of equal parts of the whole and the denominator represents the total number of parts the whole is divided into.

1.) 5/6 ___ 2/3

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 6 and 3 is 6. So, to make the denominator of 2/3 equal to 6, multiply both the numerator and denominator by 2:

2/3 * 2/2 = 4/6

Now, both 5/6 and 4/6 have a common denominator of 6. So, we can easily compare:

5/6 __ 4/6

5/6 is greater than 4/6, so the answer is 5/6 > 4/6

5.) 7/8 ___ 1/2

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 8 and 2 is 8. So, to make the denominator of 1/2 equal to 8, multiply both the numerator and denominator by 4:

1/2 * 4/4 = 4/8

Now, both 7/8 and 4/8 have a common denominator of 8. So, we can easily compare:

7/8 __ 4/8

7/8 is greater than 4/8, so the answer is 7/8 > 4/8

9.) 8/10 ___ 3/4

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 10 and 4 is 10. So, to make the denominator of 3/4 equal to 10, multiply both the numerator and denominator by 5/5:

3/4 * 5/5 = 15/10

Now, both 8/10 and 15/10 have a common denominator of 10. So, we can easily compare:

8/10 __ 15/10

8/10 is less than 15/10, so the answer is 8/10 < 15/10

13.) 3/4 ___ 7/8

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 4 and 8 is 8. So, to make the denominator of 3/4 equal to 8, multiply both the numerator and denominator by 2:

3/4 * 2/2 = 6/8

Now, both 6/8 and 7/8 have a common denominator of 8. So, we can easily compare:

6/8 __ 7/8

6/8 is less than 7/8, so the answer is 6/8 < 7/8

Hence, the equivalent fractions are
1.) 5/6 > 4/6

5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8

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let matrices a, b be where i^2=-1. find the order of the group generated by a and b under matrix multiplication

Answers

The order of the group generated by matrices a and b under matrix multiplication is a process of multiplying the matrices and counting the number of distinct matrices that can be produced.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

The order of a group generated by matrices a and b refers to the number of distinct matrices that can be produced by multiplying a and b a certain number of times.

To find the order of the group, we need to start by multiplying a and b and see if we get any new matrices. If we do, we keep multiplying those matrices until we get back to the original matrices a and b.

The order of the group is the number of distinct matrices we get in this process.

It is important to note that matrix multiplication is associative, which means that the order in which we multiply the matrices does not affect the result. Also, the identity matrix is a special matrix that, when multiplied by any matrix, produces the same matrix.

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A basketball coach determines the team has a 1 32 probability of winning a tournament. Which choice describes the probability of the coach’s basketball team winning the tournament most accurately?

Answers

The probability of the coach’s basketball team winning the tournament most accurately impossible.

What is  probability ?

3.03 percent Chance of A

As a result, you could say there is a 3.03% Probability instead of saying there are 1 to 32 Odds.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of occurrences that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

A basketball coach determines the team has a 1 32 probability of winning a tournament.

The probability of the coach’s basketball team winning the tournament most accurately impossible.

The complete question is

A basketball coach determines the team has a 1/32 probability of winning a tournament. Which choice describes the probability of the coach's basketball team winning the tournament most accurately?

answer choices

certain

impossible

likely

unlikely

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Together Pam, Dan, and Sam have $31.00. How many dollars does Sam have if Dan has $3.00 less than Pam, and Sam has $1.00 more than Pam and Dan combined?

Answers

Let's represent Pam's money as x dollars.

Dan has x - $3.00.

So Dan and Pam together have x + (x - $3.00) = $2x - $3.00 dollars.

Sam has $1.00 more than Dan and Pam combined, which is $2x - $2.00 dollars.

The total amount of money between Pam, Dan, and Sam is $2x + x + ($2x - $2.00) = $5x - $2.00 dollars.

We know the total is $31.00, so we can set up an equation to solve for x:

$5x - $2.00 = $31.00

Adding $2.00 to both sides:

$5x = $33.00

Dividing both sides by 5:

x = $6.60

So Pam has $6.60, Dan has $3.60, and Sam has $14.20

Answer:

Let x be the amount Pam has, then Dan has x - $3.00 and Sam has x + x - $3.00 + $1.00 = 2x + $1.00

The total amount of money they have is x + x - $3.00 + 2x + $1.00 = 31.00

So, 4x + $1.00 = 31.00

Subtracting $1.00 from both sides gives 4x = 30.00

Finally, dividing both sides by 4 gives x = $7.50

So Pam has $7.50, Dan has $7.50 - $3.00 = $4.50, and Sam has $7.50 + $4.50 + $1.00 = $13.00.

Does someone mind helping me with this problem? Thank you!

Answers

The percentage gain of the company is calculated to be 10%.

How to calculate for the percentage gain

The percentage gain is calculated by multiplying the fraction of the gain and the initial amount by 100.

we shall calculate for the percentage gain of the company as follows:

gain = $33 - $30 = $3

initial amount = $30

percentage gain = ($3/$30) × 100

percentage gain = (1/10) × 100

percentage gain = 10%

Therefore, the percentage gain of the company is calculated to be 10%.

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What is the best answer to report for (515 x 0.0025) + ?24.57 25.86 26 25.8575 25.9

Answers

The best way to report for (515 x 0.0025) is 25.86 and it is done using the concept of significant figures.

Given (515 x 0.0025) + 24.57

We are asked to report the answer in the best way. This can be done using the concept of significant figures.

We can see that 515 has 3 significant figures

0.0025 has 4 significant figures ( we have to consider the zeros after the decimal)

24.57 has 4 significant figures

Thus the best answer will have 4 significant figures.

(515 * 0.0025 ) + 24.57 = 25.8575 = 25.86

We have to round off the answer to 4 significant figures, thus it'll be 25.86 ( 5 becomes 6 because the figure next to 5 is 7, thus 5 will be rounded off to 6 )

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Find an equation of the line passing through the points.
(-3,17) and (2. - 3)

Answers

Answer: y = -4x + 29

Step-by-step explanation:

To find the equation of the line passing through the points (-3, 17) and (2, -3), we can use the slope-point form of a line, which is given by:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of any other point on the line. To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two points, we have:

m = (-3 - 17) / (2 - (-3)) = -20 / 5 = -4

Next, we plug in the coordinates of one of the points and the slope into the slope-point form of a line:

y - 17 = -4(x - (-3))

Expanding the right side:

y - 17 = -4x + 12

Adding 17 to both sides:

y = -4x + 29

So the equation of the line passing through the points (-3, 17) and (2, -3) is: y = -4x + 29

A coin is tossed three times. Find the probability of getting all heads or all tails.

Answers

Answer:

1/8

Step-by-step explanation:

The coin is flipped three times; the total number of outcomes = 2 × 2 × 2 = 8. P(X) = |X| / |Ω| = 1/8.

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