Colin had $23 to spend on four raffle tickets after buying them had $11 how much did each raffle ticket cost what’s the equation HELPPP

Answers

Answer 1

Colin had $23 to spend on four raffle tickets after buying them had $11. So each raffle ticket cost is $3 and the equation is 4x + 11 = 23.

Colin had $23 to spend on four raffle tickets after buying them had $11

We have to determine how much each raffle ticket cost and the equation.

Let the cost of one raffle is x.

So the cost of four raffle is 4x.

Colin has total $23.

Colin has left money = $11

So the required equation should be

4x + 11 = 23

Now solving the equation

Subtract 11 on both side, we get

4x = 12

Divide by 4 on both side, we get

x = 3

The cost of one raffle is $3.

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Related Questions

you work as an undergraduate student advisor and you keep track of all athlete students. your data contains information about their age, ethnicity, gender, their gpas and courses taken in year 1, year 2, year 3, and year 4. what type of data is this? cross-sectional data time-series data panel (longitudinal) data none of the above all of the above

Answers

Panel (longitudinal) data is data that is collected over multiple time points.

It is composed of repeated measurements of the same items, such as age, ethnicity, gender, GPAs, and courses taken over a period of time. This type of data allows us to compare changes in the same variables over a period of time. For example, we can compare the GPA of an athlete student in Year 1 to their GPA in Year 4 and look for changes that may have occurred. We can also observe how the courses taken in Year 1 may have had an impact on the GPA in Year 4. Panel data is useful to analyze changes in a population over time and can be used to make predictions about future trends.

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How do you do this problem

Answers

Answer: C)39

Step-by-step explanation:

6x+507+317+3x=122

9x+824=122

9x=122-824

9x=-702

x=-78

6x+507

6(-78)+507

-468+507

=39

In a club with 99 male and 1616 female​ members, how many 77​-member committees can be chosen that have ​(a) all​ men? ​(b) all​ women? ​(c) 44 men and 33 ​women?

Answers

The probability for the question as per the information that has been provided, can be solved in the following manner:

a) Probability for picking an all men committee

P = picking a Male probability

= 99/1715

Now, P = picking a female probability

= 1616/1715

The number of 77-member committee is Binomial [1715,77]

The number of 77-member committee being male is Binomial [99,77]

The probability of 77 men committee is Binomial [1715,77] / Binomial [99,77] or 99C77/1715C77

b) Probability for picking an all women committee

P = picking a Male probability

= 99/1715

Now, P = picking a female probability

= 1616/1715

The number of 77-member committee is Binomial [1715,77]

The number of 77-member committee being women is Binomial [1616,77]

The probability of 77 men committee is Binomial [1715,77] / Binomial [1616,77] or 1616C77/1715C77

c) Probability for picking 44 men and 33 women

Desired set is 44 men and 33 women, which can be done in 99C44 and 1616C33 ways.

So, P(44 men and 33 women) = 99C44 × 1616C33 / 1715C77

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Please help the question is a photo! We need to find the area and we use 3.14 or 22/7

Answers

The area of the circular figure which is the top of a can drink with a diameter of 3 inches is about 7.065 square inches

What is a circular figure?

A circular figure is one that has no edges or sharp corners, and which is essentially round (in the form of a disc or the path described by rotary motion) in shape.

A circular object occupies the largest area per diagonal compared to other regular shapes, as the circular inscribes other regular shapes within its circumference.

The shape in the figure is a circle

The diameter of the circle, D = 3 in.

The formula for finding the area of a circle, A, for which the diameter is presented as follows;

Area of the circle, A = π·D²/4

The approximation of the value of π to be used are 3.14 or 22/7

The area is obtained by plugging in the values of D and π in the formula for the area of a circle as follows;

The area of the figure is; A = 3.14 × 3²/4 = 7.065

The area of the figure is about 7.065 square inches

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which procedure can reduce can reduce problems associated with the use of deception by a researcher? a. debriefing b. random sampling c. random assignment d. using only single-blind studies e. using only double-blind studies

Answers

Reporting on a mission, initiative, or the data obtained from it is known as debriefing. Debriefing can reduce problems associated with the use of deception by a researcher. So option a is correct.

Debriefing is the act of reporting on a mission, project, or the data gleaned from it. After an activity or event, a structured procedure examines the actions performed.

Technically speaking, it refers to a method of active intervention that is specialized and developed into more formal meanings like operational debriefing. It is divided into various categories, including, among others, psychological, military, and experiential debriefing.

The following crucial components are often included in effective debriefings:

1. Active participation that goes beyond merely taking criticism in a passive manner.

2. Developmental aim centred on growth and learning

3. A discussion of particular incidents

4. Information from several sources

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simplify the following monomials (-a²b)ª

Answers

Answer:

[tex]\displaystyle{(-1)^aa^{2a} b^a}[/tex]

Step-by-step explanation:

The following expression can be rewritten as:

[tex]\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a}[/tex]

In this case, we have to separate -1 out of a² since if a becomes even, the value of (-a)ª will become positive while (-a)ª becomes negative when a is odd.

We can apply the law of exponent when:

[tex]\displaystyle{\left(a \cdot b \cdot c \right)^m = a^m \cdot b^m \cdot c^m}[/tex]

Therefore:

[tex]\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a = (-1)^a\cdot a^{2a}\cdot b^a}\\\\\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a = (-1)^aa^{2a} b^a}[/tex]

This will make when a = even numbers, the expression is positive while negative when a is odd.

And no, the answer is not [tex]-a^{2a} b^a[/tex] since this will make the expression negative only but the problem can be positive when a = even number which is why we have to separate -1 out of -a² so that it meets the condition.

Hence, the answer is [tex]\displaystyle{(-1)^aa^{2a} b^a}[/tex]

a square has side length of 7.37.3 inin. if the area is multiplied by 1919, what happens to the perimeter?

Answers

The perimeter should be multiplied by 1/3

The side length of the square, which is 7.3 inches,

The square's surface area

Side x Side is Area = 7.3 x 7.3 = 53.29

The square's new area is multiplied by 1/9,

so area is equal to

1/9 x 53.29 and s is equal to 2.4333.

Using the length of the new square as the new perimeter, the square's new perimeter is equal to 9.733 times its side times.

Now that we have calculated the perimeter ratios, we can see that the square's side length is 7.3.

the perimeter is equal to 7.3 times 4 and equals 29.12; nevertheless,

the ratio of the perimeters of the first and second lengths is equal to

29.12/9.733 and is

therefore 3:1.

so, perimeter multiplied by 1/3

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if I have 645 markers, and they can fit 15 in a pack how many packs of markers do I have

Answers

You can have 43 packs of the 645 markers (645 ÷ 15 = 43)

Step-by-step explanation:

First, you can make 42.33 packs of markers with 645 markers and 15 markers per pack. This is calculated by dividing the total number of markers (645) by the number of markers per pack (15), which gives you 42.33.

A number increased by 15 is greater than 124. Find the smallest integer that satisfies the inequality.

Answers

The smallest integer that satisfies the inequality is 110

How to find the smallest integer to satisfy the inequality

The least number is calculated by first generation g the inequality equation

The statement "A number increased by 15 is greater than 124" is written in an equation form, assuming the number is x

x + 15 > 124

Solving for x with the generated expression

x + 15 > 124

isolating x

x + 15 - 15 > 124 - 15

x > 124 - 15

x > 109

since x is greater than 109 the least integer greater than 109 is 110

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You are traveling west on the highway. At 1:00 you pass kilometer marker 485. At 4:30 you pass kilometer marker 154. What has your average velocity been.

technically a physical science question but i didn't know what to label it.

Answers

The average velocity is 94.6km / hour

What is average velocity?

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs. The average velocity can be positive or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).

therefore average velocity = change in displacement / change in time

change in displacement = 485 - 154 = 331 km

change in time = 4:30-1:00 = 3 hours 30minutes = 3½ hrs

average velocity = 331/3.5

= 94.6km/hour

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Can you give me great examples of buildup, unit ratio, and cross multiplication for proportional relationships? I am trying to get an A on this test and dont want to mess up.​

Answers

Cross multiplying will help us identify the variable if it is the same variable that is present on both sides of the equation. Let's explain with the use of examples. Solve X/5 = 5/X, for instance.

What is cross multiplication in ratio and proportion?When you multiply the denominator of one ratio by the numerator of another, you get a cross product. In the event when the cross products are equal, the ratios are proportionate. In the case of ratios and, and are proportional and can be expressed as a b = c d.So 4×32=128. Moreover, we obtain the result 726=182 when we cross-multiply these two. The fact that 182 is greater than 128 enables us to conclude that 732 is greater than 426. The number we multiplied by our numerator symbolises the matching fraction, and we must always keep this in mind.For comparison of fractions, cross multiply. The most typical application of cross multiplication is the comparison of fractions. multiplying the numerator while paying closer attention to the procedure.

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Distribute: 5(2x + y -6)

Answers

Answer:

10x+5y-30

Step-by-step explanation:

5(2x+y -6)

5x2=10

5x (-6)= -30

=10x+5y-30

Find the product. (4m + 3)(4m − 3)

Answers

Answer:

= 16m² - 9

Step-by-step explanation:

(4m+3)(4m-3)

= 4m*4m + 4m*3 + 3*4m + 3*-3

= 16m² + 12m -12m - 9

= 16m² - 9

answer choices:
x=22
x=68
x=90
x=112

Answers

Answer: I think x=22.

Step-by-step explanation:

If you look at half of the circle you can see a line in it right? This line measures to 180 degrees. This is a right triangle. Usually triangles have a little box in the corner to tell you that is it indeed a right triangle. I don't know why this one doesn't. anyways, if you add 90+68, you get 158. Now you need to get to 180 by simply adding 22. Thats why i think the answer is 22. Sorry if im wrong.

help with these questions pls, thanks :)

Answers

Answer: Based on the formula I was taught, for your first problem it'd be the option that says 813.9 ft and for the second one it'd be your option with 2076.3 square inches.

Answer: D) 813.9 inches

Step-by-step explanation:

Formula for surface area of cylinder is:

A=2πrh+2πr2

r = 6

h = 15.6

A = 2π(6)(15.6) + 2π(6)^2

A = 187.2π + 2π(36)

A = 187.2π + 72π

A = 259.2π

If π is 3.14,

A = 259.2(3.14) = 813.9

what does a table with two rows and columns of data represent?

-two separate linear functions
-a diagram
-two ordered pairs
-a linear function

Answers

A table with two rows and columns of data represent a linear function.

How is a linear function represented in a table?A table of values is linear if the rate of change is constant.  A graph that is not vertical and is a straight line is linear. A linear equation is one that has the form y = mx + b. A value table is linear if the rate of change is constant.A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane.A table with two rows and columns of data represent a linear function.

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PLEASE HELP!! 100 POINTS

Answers

Answer:

see explanation

Step-by-step explanation:

the total cost is dependent on the number of rides she takes, then

the number of rides is the independent variable and the total cost is the dependent variable.

----------------------------------------------------------------------------

(2)

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (- 4, 2 ) into the partial equation

2 = - 2(- 4) + c = 8 + c ( subtract 8 from both sides )

- 6 = c

y = - 2x - 6 ← equation of line

--------------------------------------------------------------------------

(3)

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 6 ) and (x₂, y₂ ) = (9, - 2 )

m = [tex]\frac{-2-6}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then

y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (9, - 2 )

- 2 = - [tex]\frac{2}{3}[/tex] (9) + c = - 6 + c ( add 6 to both sides )

4 = c

y = - [tex]\frac{2}{3}[/tex] x + 4 ← in slope- intercept form

multiply through by 3 to clear the fraction

3y = - 2x + 12 ( add 2x to both sides )

2x + 3y = 12 ← equation in standard form

----------------------------------------------------------------------------

(4)

linear function has the form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 200) and (x₂, y₂ ) = (2, 500) ← 2 ordered pairs from the table

m = [tex]\frac{500-200}{2-0}[/tex] = [tex]\frac{300}{2}[/tex] = 150

the ordered pair (0, 200 ) indicates that c = 200

y = 150x + 200 ← linear equation

--------------------------------------------------------------------------

(5)

money left over f(x) is

f(x) = initial amount - expenses

    = 125 - (15 + 40 + 5x)

    = 125 - (55 + 5x)

    = 125 - 55 - 5x

    = 70 - 5x

that is

f(x) = - 5x + 70

A water sample shows 0. 097 grams of some trace element for every cubic centimeter of water. Owen uses a container in the shape of a right cylinder with a radius of 6. 7 cm and a height of 13. 3 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Owen collected? Round your answer to the nearest tenth

Answers

The amount of trace element collected by Owen is 59.3 g.

To calculate the amount of trace element collected by Owen, we first need to find the volume of the container. Given the radius of 6.7 cm and the height of 13.3 cm, the volume of the cylinder is given by:

V = π * r^2 * h = π * (6.7)^2 * 13.3 = 615.96 cm^3

Since there are 0.097 grams of the trace element per cubic centimeter of water, the amount of trace element in the container can be calculated as:

m = V * 0.097 g/cm^3 = 615.96 cm^3 * 0.097 g/cm^3 = 59.32 g

Rounding to the nearest tenth, the answer is 59.3 g.

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a survey was conducted on 218 undergraduates from duke university who took an introductory statistics course in spring 2012. among many other questions, this survey asked them about their gpa and the number of hours they spent and studying per week. based on this study, can we conclude that studying longer hours leads to higher gpas?

Answers

No, we cannot conclude that studying longer hours leads to higher GPAs based on this survey.

This survey only provides us with the average GPAs and average hours per week spent studying for a sample of 218 undergraduates from Duke University who took an introductory statistics course in spring 2012. This is not enough information to draw a conclusion about the correlation between hours of study and GPA. To do this, we would need to look at the correlation between the two variables. To calculate the correlation, we would need the individual data points of the GPAs and hours of study for each respondent. We could then calculate the Pearson correlation coefficient and the significance of the correlation. This would provide us with a more definitive answer to our question.

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Question #14:

Brandon is filling a flower bed with soil. The flower bed is shaped like a rectangular prism and

measures 15 feet long and 3 feet tall. If it holds 405 cubic feet of soil, how many feet wide is

Brandon's flower bed?

Answers

The width of rectangular prism shaped Brandon's flower bed is 9 meters.

As per the known information, the formula to calculate volume of rectangular prism is -

Volume of rectangular prism = length × width × height

Keep the values in formula to find the volume of rectangular prism

405 = 15 × 3 × width of rectangular prism

Performing multiplication on Right Hand Side of the equation

405 = 45 × width of rectangular prism

Rewriting the equation

Width of rectangular prism = 405/45

Performing division

Width of rectangular prism = 9 meters

Thus, the width is 9 meters.

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Give your answer in point notation with the x and y coordinates. If there are
multiple solutions, separate the answers with commas and no spaces. For example,
if your answers are (0,2) and (-3,1), you would type it as: (0,2),(-3,1). Order does not
matter.
V
N
AV

Answers

The points (2,2) and (-2,2) are both solutions to the equation y=2.

A coordinate pair(2,2),(3,1)When solving a system of equations, one way to find the solution is by graphing.To graph the given system of equations, start by plotting the two equations on the coordinate plane.The first equation, x + y = 4, can be written in the form y = -x + 4.Plot this line on the coordinate plane, with any two points that satisfy the equation. In this case, the two points could be (0,4) and (4,0).Plot the second equation, x - y = 2, in the same way.This line can be written in the form y = x - 2.Plot two points that satisfy this equation, such as (0,-2) and (2,0).After plotting the two lines, look for the point of intersection, which is the solution to the system.In this case, the point of intersection is (2,2) and (3,1).Therefore, the solution to the system is (2,2),(3,1).This equation is a line that has a y-intercept of 2, meaning that the line crosses the y-axis at the point (0,2). The slope of the line is 0, meaning that the line is vertical and does not cross the x-axis.Therefore, any point along this line will have the same y-coordinate, which in this case is 2. In other words, for any given x-coordinate, the y-coordinate will always be 2. This means that both (2,2) and (-2,2) are valid solutions for the equation y=2.

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The midpoint of AB is M (-2,5). If the coordinates of A are (1,7), what are the coordinates of B?

Answers

Answer:

B(-5, 3)

Step-by-step explanation:

(1 + x)/2 = -2

1 + x = -4

x = -5

(7 + y)/2 = 5

7 + y = 10

y = 3

B(-5, 3)

What is the least common denominator of 3/4 and 7/12

Answers

12 is the least common denominator between 3/4 and 7/12.

The least common denominator (LCD) of two or more fractions is the smallest number that can be divided by the denominators of each of the fractions without leaving a remainder.

What is the least common denominator in mathematics?

The smallest number among all the common multiples of the denominators is the least common denominator when two or more fractions are provided.

Finding the least common multiple (LCM) of the denominators 4 and 12 will allow you to get the least common denominator of 3/4 and 7/12.

12 is the least frequent multiple of 4 and 12. Therefore, 12 is the least common denominator between 3/4 and 7/12.

Finding the denominators' multiples is another way to locate it. 43 = 12 is the least common multiple and the least common denominator, respectively.

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true or false: a parallel gateway with three sequence flows would have three tokens leaving the gateway.

Answers

A parallel gateway with three sequence flows would have three tokens leaving the gateway - True.

Reason: Each path has a token.

A parallel gateway can synchronize or merge the parallel flows once more, or split the sequence flow into two or more parallel flows. Awaiting the arrival of all incoming sequence flows is synchronization. After that, the flow resumes.

Instead, two concurrent jobs in a business flow are represented by a parallel gateway. In a UML activity diagram, it is equivalent to a fork. The business process in the example below uses a parallel gateway because the company is trying to have its cake and eat it too. With Lucid chart, diagramming is quick and simple.

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John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market.


A pie uses 4 cups of apples and 3 cups of flour.

A cobbler uses 2 cups of apples and 3 cups of flour.

John has 16 cups of apples and 15 cups of flour.


When John sells the pies and cobblers at the Farmer's Market, he will make $3.00 profit per pie and $2.00 profit per cobbler.


Let x = the number of pies John makes.


Let y = the number of cobblers John makes.

Since John cannot make a negative number of pies or cobblers, what additional constraints exist on the variables?

Answers

Since John cannot make a negative number of pies or cobblers, the additional constraints that exist on the variables include the following:

B. x ≥ 0.

   y ≥ 0.

How to write an equation to model this situation?

In order to write an equation that model this situation, we would assign a variable to the number of pies John makes and the total number of cobblers John makes respectively, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of pies John makes.Let the variable y represent the total number of cobblers John makes.

However, it should be noted that John cannot make a negative number of pies or cobblers and as such, the number of pies he makes must be greater than or equal to zero (0) such as 0 pies, 1 pies, 2 pies, 3 pies, 4 pies, etc. Similarly, the aforementioned constrain applies to the number of cobblers John makes.

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243 (0) If 8; 2x; 2y forms an arithmetic sequence and 2x; 2y; 36 forms a geometric sequence determine the values of x and y.​

Answers

Answer:

  (x, y) = (0.5, -3)  or  (8, 12)

Step-by-step explanation:

You want x and y such that 8, 2x, 2y is an arithmetic sequence and 2x, 2y, 36 is a geometric sequence.

Arithmetic sequence

The difference of successive terms is a constant for an arithmetic sequence.

  2x -8 = 2y -2x

  2x -4 = y . . . . . . . . divide by 2, add x

Geometric sequence

The ratio of successive terms is a constant for a geometric sequence.

  2y/2x = 36/2y

  y² = 18x . . . . . . . . . simplify and cross multiply

Solution

We can substitute the expression for y from the arithmetic sequence into the expression for y² in the geometric sequence:

  (2x -4)² = 18x

  4x² -16x +16 = 18x . . . . . expand

  2x² -17x +8 = 0 . . . . . . . divide by 2, subtract 9x

  (2x -1)(x -8) = 0 . . . . . . . factor

The values of x that make the factors zero are x = 1/2 and x = 8. The corresponding values of y are 2{1/2, 8} -4 = {1, 16} -4 = {-3, 12}.

The values of x and y are (1/2 and -3) or (8 and 12).

__

Additional comment

The two sequences are ...

  8, 1, -6  and  1, -6, 36 — difference of -7, ratio of -6

or

  8, 16, 24  and  16, 24, 36 — difference of 8, ratio of 3/2

What do I put in the boxes

Answers

Step-by-step explanation:

6

7 47

42

-------

R 5

47 ÷ 7 = 6.71428571429

Create the number line that represents the solution to the inequality of 3x - 8 greater than 7

Answers

The number line in the image below shows the solution to the inequality 3x - 8 > 7.

How to Create a Number Line that Shows the Solution of an Inequality?

Before we can create a number line that represents the solution of an inequality, we have to solve to find the solution first.

Given the inequality 3x - 8 > 7, solve for x:

3x - 8 + 8 > 7 + 8 (addition property of equality)

3x > 15

3x/3 > 15/3 (division property of equality)

x > 5

The solution is x > 5, therefore, the image attached below shows the number line of the solution.

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Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 6) and (2, 0).
a.
Negative one-third
c.
3
b.
One-third
d.
Negative 3

Answers

Answer:

3

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1)

We have (0, -6) as our x1 and y1 and (2,0) as our y1 and y2. So now it's plug and play!

=(0-(-6))/(2-0)

=(0+6)/(2-0)

=(6)/(2)

Simplifying this we get 3/1 or in simple terms... 3

1/3y = 4 5/6
the options are
a. 1 11/8
b. 4 5/18
c. 12 5/6
d. 14 1/2

Answers

D. 14 1/2 because when originally that’s multiplication but you have to do the inverse of multiplication which is just division so you divide 4 5/6 by 1/3 and get 14 1/2 your welcome
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the nurse is caring for a client with an impaired immune system. the nurse is concerned about the client acquiring a healthcare-associated infection (hai). what intervention would the nurse focus on to help control hais? to what celestial body is the tilt axis always pointed throughout the year? in dna fingerprinting what do restriction enzymes do "By God, we've kicked the Vietnam syndrome once and for all!" So said President GeorgeBush in a euphoric [joyful] victory statement at the end of the Gulf War, suggesting the extentto which Vietnam continued to prey on the American psyche more than fifteen years after the fall of Saigon. Indeed the Vietnam War was by far the most convulsive and traumatic of America's three wars in Asia in the 50 years since Pearl Harbor. It set the U.S. economy on a downward spiral. It left America's foreign policy at least temporarily in disarray, discrediting the postwarpolicy of containment and undermining the consensus that supported it. It divided the American people as no other event since their own Civil War a century earlier. It battered their collective soul.Such was the lingering impact of the Vietnam War that the Persian Gulf conflict appeared attimes as much a struggle with its ghosts as with Saddam Hussein's Iraq. President Bush's eulogyfor the Vietnam syndrome may therefore be premature. Success in the Gulf War no doubt raised the nation's confidence in its foreign policy leadership and its military institutions and weakened long-standing inhibitions against intervention abroad. Still it seems doubtful that military victory over a nation with a population less than one-third of Vietnam in a conflict fought under the most favorable circumstances could expunge [erase] deeply encrusted and still painful memories of an earlier and very different kind of war....Source: George C. Herring, "America and Vietnam: The Unending War, Foreign Affairs, Winter 1991/92-QUESTION- According to the above document, what was one impact of the Vietnam War on UnitedStates foreign policy? naturally occuring element x exists in three isotopic forms: x-28 (27.343 amu, 67.14% abundance), x-29 (28.889 amu, 10.50% abundance), and x-32 (31.993 amu, 22.36% abundance). calculate the average atomic weight of x. please enter your answer to 4 significant figures. In a statistics course a linear regression equation was computed to predict the final exam score from the scoreon the first test. The equation of the least-squares regression line was y=10+0.9x where y representsthe predicted final exam score and x is the score on the first exam. new legislation passed in 2017 by the u.s. congress changed tax laws that affect how many people file their taxes in 2018 and beyond. these tax law changes will likely lead many people to seek tax advice from their accountants (the new york times). backen and hayes llc is an accounting firm in new york state. the accounting firm believes that it The bas-reliefs represents the Assyrian cultural achievement of after securing your space at the end of the day, you should try to badge back in to ensure it is locked. T/F Which ordered pair is a solution of the equation? 6 x + 3 y = 15 6x+3y=15Choose 1 answer:(Choice A)AOnly (3,2)(3,2)left parenthesis, 3, comma, minus, 2, right parenthesis(Choice B)BOnly (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis(Choice C)CBoth (3,2)(3,2)left parenthesis, 3, comma, minus, 2, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis(Choice D)DNeither in patients with asthma, an increased thickness of the airways causes a local reduction in stress through the airway walls. the effect can be as much as a 50 \% reduction in the local shear modulus of the airways of an asthmatic patient compared to those of a healthy person. calculate the ratio of the shear strain in an asthmatic airway to that of a healthy airway. You might need: Calculator Lilyana runs a cake decorating business, for which 10% of her orders come over the telephone. Let C be the number of cake orders Lilyana receives in a month until she first gets an order over the telephone. Assume the method of placing each cake order is independent. Find the probability that it takes fewer than 5 orders for Lilyana to get her first telephone order of the month. You may round your answer to the nearest hundredth. PC Today HR outsourcing can be done in different ways. Which of the following is one of those ways?A) discrete services outsourcingB) project management outsourcingC) external recruitment process outsourcingD) parts supply outsourcing as you stand in line for coffee, you scan the faces of other customers to spot your friend. this visual information is being processed in your: _______. Determine if each statement below from the text is a MAIN IDEA or a SUPPORTING DETAIL. 1. We often distract ourselves from these "heartsongs" in order to listen to louder, more obnoxious voices that taunt us from outside ourselves2. Yoo, too, have a story to tell about your experiences and how they have created the person you are today3. Mattie was an inspirational 11-year-old child who suffered from a rare form of muscular dystrophy4. After I earned a master's degree in communications, my husband and I moved to Flagstaff, Arizona5. Our fears, inhibitions, and need for approval from others are our cages. an evolutionary psychologist would suggest that people are genetically predisposed to all of these except to: what claim does President Roosevelt make in the passage about what is happening to democracy? The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answer(s). (4 points)x 3 2 1 0 1 2f(x) 0.4 4.5 7 11.3 15 16.2g(x) 4 8 10 11.3 15 17 The Ethisphere Institute selects an annual list of the world's most ethical companies. All of the following are criteria it uses EXCEPTA) internal systems and ethics/compliance program.B) reputation track record.C) corporate governance.D) innovation that contributes to the company's profitability.E) industry leadership. Two children pull a 320 kg sled on an ice rink - Child A pulls with a force of 450 N [S 15 E]while child B pulls with 380 N [W].If the sled starts from rest, how far will it go in 2.0s, and in what direction?Please add a diagram!