Jim purchased x iced teas and y soft pretzels at a cricket game. He spent a
total of $32. The equation below describes the relationship between the
number of iced teas and the number of soft pretzels purchased.
3x+2y=32
The ordered pair (4, 10) is a solution of the equation. What does the solution
(4, 10) represent?

HELPPPP

Answers

Answer 1

The solution that (4, 10) represents is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game.

How to solve linear equation word problems?

The equation that describes the relationship between the

number of iced teas and the number of soft pretzels purchased is;

3x + 2y = 32

Where;

x represents the iced teas.

y represents soft pretzels at a cricket game

Now, we are told that the ordered pair (4, 10) is a solution of the equation. This means that;

x = 4 and y = 10 is a solution.

What it means is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game

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Related Questions

A 3-gallon container of disinfectant costs $36.24. What is the price per quart?

Answers

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Which is not a factor pair of 300

Answers

Answer:

Step-by-step explanation:

So, the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300. [Note: If we divide 300 by 21, we get the quotient and remainder as 14 and 6, respectively. So, 21 is not a factor of 300.

What is the area of the circle if BC = 6cm?

Answers

Answer:

[tex]A=9\pi cm^{2}[/tex][tex]=28.27cm^{2}[/tex]

Step-by-step explanation:

If  BC= 6

then r = BC/2 = 6/2 = 3cm

[tex]A=\pi r^{2} =\pi (3)^{2} =9\pi[/tex]

[tex]A=28.27cm^{2}[/tex]

Hope this helps

PLEASEEEE HELP MEE WITH THIS EQUATION

Answers

Answer:

Basically, LON would be 8z + 112 + 6z - 17

So, our equation will look like this

8z + 112 + 6z - 17 = -1z + 65

Subtract the 6z from the 8z

2z + 112 - 17 = -1z + 65

112 - 17 = 95

2z + 95 = -1z + 65

add the 1z

3z + 95 = 65

subtract the 95

-30

3z = -30

The answer is -10 :)

Step-by-step explanation:

Answer:

LON=75

Step-by-step explanation:

LON= LOM=NOM

-1z+65=8z+112-6z-17

-1z+65=2z+95

3z=-30

z=-10

LON= -1z+65

       = -1(-10)+65

       = 10+65

LON= 75

Elaina bought 4.6 pounds of sliced ham at a price of $6.15 per pound. How much did she spend in total? quick

Answers

Answer:

$28.29

Step-by-step explanation:

1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29

10. What is a composition of rigid motions and a dilation that maps APZY onto ARST

I’m confused on this subject please explain to me how you got an answer thank you

Answers

Answer:

dilation by a factor of 1/2reflection over the line y = -x

Step-by-step explanation:

You want to find a sequence of transformations that will map ∆PZY to ∆RST as shown in the figure.

Dilation

First of all, we notice the triangles are not the same size. We can find the required dilation factor by finding the ratio of corresponding side lengths.

The first two letters in the triangle designators in the similarity statement are PZ and RS. Since RS is the target size, the dilation factor needs to be ...

  k = RS/PZ

Counting grid squares in the figure, we see this ratio is ...

  k = 2/4 = 1/2

Dilation by a factor of 1/2 will make triangle PZY the same size as ∆RST.

Using the origin as the center of the dilation, all of the points of ∆PZY move to a position that is half their original distance from the origin. The dilated triangle is purple triangle P'Z'Y' in the attached figure.

Reflection

When we name the vertices of ∆PZY or ∆P'Z'Y', we are naming them in counterclockwise order. The vertices of ∆RST are being named in clockwise order. This reversal of the sequence of vertices is caused by a reflection over a line.

The line of reflection will be halfway between a vertex and its reflected image. For example, reflecting ∆P'Z'Y' across the y-axis give ∆P"Z"Y", as shown in the attached figure. This reflection requires an additional transformation to map P"Z"Y" to RST.

We want to map P' to R, Z' to S, and Y' to T. As it happens the line halfway between these pairs of points is the line y=-x, the dashed line shown in the attachment.

Reflection across the line y = -x will map ∆P'Z'Y' to ∆RST.

This transformation, together with the dilation above, will map the ∆PZY to ∆RST as required.

__

Rotation

If we use the reflection over the y-axis described above, we are faced with mapping ∆P"Z"Y" to ∆RST. We notice that segment P"Z" points "east" (in the +x direction). We want to map this segment to RS, which points "north" (in the +y direction). That can be accomplished by rotating ∆P"Z"Y" 90° counterclockwise about the origin.

So, another sequence of transformation that will make the required mapping is ...

dilation by a factor of 1/2reflection across the y-axisrotation 90° CCW

The order of reflection and rotation is important. The dilation can occur anywhere in the sequence.

Alternate solution

Perhaps you realize that we could reflect the figure across the x-axis instead of the y-axis. In that case, the rotation needs to be 90° CW to complete the mapping. That is, yet another sequence could be ...

dilation by a factor of 1/2reflection across the x-axisrotation 90° CW

If you decide you want to do the rotation before the reflection, then the direction of rotation is reversed.

__

Additional comment

Figuring the answer to these mapping problems requires a certain amount of spatial sense. It can help to cut a figure from paper or cardboard and label the vertices. Then you can translate it, rotate it, flip it over, to see what works to get it to the right position. If you have a little trouble with the rotation, you can stick a pin through the center of rotation so your figure keeps its appropriate distance and orientation relative to that center.

Tracing paper and/or transparencies can be helpful for these exercises.

Between 2020 and 2021, the population of a city increased by 20% In 2021, the population of the city was 420 000. What was the population of the city in 2020?​

Answers

Answer:

350,000.00

Step-by-step explanation:

420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00

823× 3.6 weekly math review homework for fifth grade

Answers

2962.8 is your answer

Which object has the largest resultant force?
10N-
10N-
30 N-
A
C
30 N
5N
-5N
10N-
5N-
5N-
5N-
B
D
10N
10 N

Answers

Answer:

To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.

In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.

For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.

For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.

For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.

For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.

Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.

standard equation for hyperbola with vertices (-2, 1), (2, 1) and foci (-3, 1) (3,1)

Will give brainliest

Answers

Answer:y=(x+3)2−17

Step-by-step explanation: 3,11 5,15

Given U(-6, 7), V (1, -7), W (6, 4), and X (10, y). Find y such that
UV LWX.

Answers

To find the value of y such that the quadrilateral UVLWX is a parallelogram, we need to find the coordinates of the fourth vertex (X) such that the opposite sides of the quadrilateral are parallel.

The coordinates of U and V are (-6,7) and (1,-7), respectively. The vector UV connecting these two points is given by (1-(-6), -7-7) = (7, -14).

The coordinates of W and X are (6,4) and (10,y), respectively. The vector WX connecting these two points is given by (10-6, y-4) = (4, y-4).

For the sides UV and WX to be parallel, the vector UV must be proportional to the vector WX. This means that the ratio of the x-components must be equal to the ratio of the y-components. In other words, we have the following equation:

(7/4) = (-14)/(y-4)

Solving for y, we get:

y = -7

Therefore, the value of y such that the quadrilateral UVLWX is a parallelogram is y = -7.

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used.

Answers

Answer: 5%

Step-by-step explanation:

Answer:

answer is 10

Step-by-step explanation:

The average number of customers at the cafe fell by 10% in the month of May. If 140 fewer customers visited the cafe in May, how many customers visited in April?

Answers

Answer:

  1400

Step-by-step explanation:

You want to know the number of customers in April if the number in May was 10% lower. That number was 140 fewer.

Percent

The problem statement is telling us ...

  April - (10% × April) = April - 140

  10% × April = 140 . . . . . . . . subtract April, multiply by -1

  April = 140/10% = 1400 . . . . divide by 10%

The number of customer visits in April was 1400.

__

Additional comment

The 1400 customers in April fell by 140 to 1260 in may. That's 10% fewer than in April.

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Write an equation of a line

Answers

Answer:

Step-by-step explanation:

Steps to find the equation of a line from two points:

   1) Find the slope using the slope formula. ...

   2) Use the slope and one of the points to solve for the y-intercept (b). ...

   3) Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = MX + b) to get the equation for the line.

I need help with this!

Answers

Give more information can’t do nothing with this

Ubehebe Crater in Death Valley has a diameter of a little more than mile. If Latisha walks around its
rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your
answer to the nearest tenth. Use 3.14 for pi

Answers

On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.

what is radius?

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter

here,

D= 1

r = 1/2 = .5

A = 40

T = 40/10 4 hrs.

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2 points How Did I Do? The cost of renting a car is $42 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=42+0.25x , where x is the number of miles traveled.

Answers

The equation to represent the cost of renting the car, given the cost per week and the cost per mile, is y = 42 + 0.25x.

How to formulate the equation ?

The total cost of renting the car at any given point, would be:

= Cost to rent per week + ( Cost per mile x Number of miles driven)

If we assume the number of miles driven is denoted by x, then the equation becomes :
= 42 + 0. 25 x

If we further take y to be the total cost, the equation then becomes :

y = 42 + 0. 25 x

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evaluate the expression when m=8 and n = 37

Answers

Answer:

31

Step-by-step explanation:

[tex]\sf 37-\cfrac{48}{8}[/tex]

Divide numbers ( 48/8 = 6)

[tex]\sf 37-6[/tex]

Subtract numbers:-

[tex]\sf 31[/tex]

31 is your answer!

___________________

Hope this helps!

Have a great day!

AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE

Answers

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]

from the graphs n f (x) and g( x) are 1 and 5 .

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Which graphs show continuous data?


Select each correct answer.

HELP ME PLEASE!!!

Answers

Answer: the bottom two graphs show continuous data

Step-by-step explanation:

Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics in a particular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. How many students are enrolled in either algebra or physics?

Algebra Not in Algebra Total
Physics 5 9 14
Not in Physics 24 2 26
Total 29 11 40

Answers

it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both using principle of inclusion-exclusion we can say 38 students are enrolled in either algebra or physics.

How to find the number of students enrolled  in either algebra or physics?

To find how many students are enrolled in either algebra or physics, you can use the principle of inclusion-exclusion, which states that the total number of elements in two sets can be found by adding the number of elements in each set and then subtracting the number of elements that are in both sets.

So, the number of students enrolled in either algebra or physics is:

29 (students enrolled in algebra) + 14 (students enrolled in physics) - 5 (students enrolled in both) = 38

So, 38 students are enrolled in either algebra or physics.

It is important to notice that in the table you provided is a two-way frequency table also known as a contingency table, it shows the relationship between two variables, in this case, Algebra and Physics and the frequencies of each combination.

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Helen draws a random circle, she then measures the circumference and diameter.
She gets a circumference C of 405mm correct to 2 significant figures
She gets a diameter D of 130mm correct to 2 significant figures
Helen wants to find the value of [tex]\pi[/tex] using the formula [tex]\pi[/tex] = C÷D
Calculate the lower and upper bound for Helens value of [tex]\pi[/tex]
Give your answer correct to 3 decimal places

Answers

The value of π can be written with upper and lower limits as -

3.12 ± 0.062.

What are significant figures?

Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.

Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.

We can write -

Circumference {C} = (405 ± 2) mm

Diameter {D} = (130 ± 2) mm

The value of π can be calculated as -

π = {C}/{D}

π = (405 ± 2)/(130 ± 2)

Now, divide the numbers without errors first -

405/130

3.12

Now, we will calculate the relative errors in each number -

2/405 = 0.004

2/130 = 0.016

Adding the relative errors -

0.004 + 0.016

0.02

Absolute error = 0.02 x 3.12 = 0.062

The value of π can be written with upper and lower limits as -

3.12 ± 0.062

Therefore, the value of π can be written with upper and lower limits as -

3.12 ± 0.062.

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Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94 900. What was the population of the town in 2020?​

Answers

Answer:

Step-by-step explanation:

if 2021 is 35% decrease of the original number then 2020 is 100% ,and 2021 = 65%.

so, we do the rule of three:

x = (94900 * 100)/ 65

x = 146000

and that is the population in 2020.

Answer:

Hey there! Based on the information provided, it seems that the population of the town decreased by 35% between 2020 and 2021. We can use this information to calculate that in 2021, the population of the town was 65% of its population in 2020. If the population of the town in 2021 was 94,900, then we can use this information to calculate that the population of the town in 2020 was 146,155. Does that make sense?

Imagine a box with an ant at one corner. The ant wants to travel to the opposite corner by the most direct path. It must travel across the top of box at some stage. The top of the box is the light area. It cannot travel along the ground or under the box. (Hint : it does not have to travel along an edge)

Answers

The solution is Option A.

The shortest distance is given by the two hypotenuses of the triangles and the distance is X = 7.8 cm

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the shortest distance be represented as X

Let the first triangle be the first face of the rectangular box ΔABC

The length of the triangle AB = 3 cm

The height of the triangle BC = 2 cm

Now ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

The measure of AC = √ ( 3² + 2² )

The measure of AC = √13 cm

And , the second triangle is the second face of the rectangular box ΔDEF

The length of the triangle DE = 4 cm

The height of the triangle EF = 2 cm

The measure of DF = √ ( 4² + 2² )

The measure of DF = √18 cm

Now , the shortest distance X = The measure of AC  + measure of DF

Substituting the values in the equation , we get

The shortest distance X = √13 cm + √18 cm

The shortest distance X = 3.60 + 4.24

The shortest distance X = 7.8 cm

Therefore , the value of A is 7.8 cm

Hence , the shortest distance for the ant is 7.8 cm

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Simplify: -20z^8+ (-2z^8)
Enter the original expression if it cannot be
simplified.

Answers

Therefore , the solution of the given problem of expression comes out to be  22[tex]z^{8}[/tex].

Define Expression .

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Here,

Given : -20[tex]z^{8}[/tex]+ (-2[tex]z^{8}[/tex])

=> -22[tex]z^{8}[/tex]

So ,

In order to find the solution we add them

Thus ,

simplification of given expression is:

=> - 22[tex]z^{8}[/tex]

Therefore , the solution of the given problem of expression comes out to be  22[tex]z^{8}[/tex].

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In Mrs. Austin's science class, 37.5% of the students have compleated their science project. Of the remaining students, 40% have compleated only half of their science project. If there are 32 students in Mrs. Austin's science class, how many of these students have compleated half of their science project?

Answers

well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.

now, of those 62.5% fellows only 40% have finished only half of it, how many are those?

well, what's 62.5% of 32?   what's 40% of that much?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]

Solve systems by elimination step by step
2x + y = 180
x - y = 30

Answers

The value of x=70 and y=40

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Here, 2x+y=180

x-y= 30

Here, the coefficient of y in these two equations are equal and have opposite signs. so,

                             2x+y= 180

                             x-y= 30

     Now adding equation 1 and equation 2

We get,

               3x= 210

                  x= 210/3

                  x= 70

Now, to find y:

Putting the value of x in equation 2

          x-y= 30

         70-y= 30

          y= 70-30

           y= 40

so, the value of x and y are 70 and 40

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the fraction 3/5 fits into 2 1/5 less than more than 1 time

Answers

Answer:

Q = 3.667

Step-by-step explanation:

A condominium owner pays property taxes of $2,000 per year. If taxes are figured
at a rate of $1.25 for every $100 in value, what is the value of his condominium?

Answers

Step-by-step explanation:

the tax rate gives us a ratio of tax amount to value.

this ratio (in our case 1.25/100) is constant for any value.

therefore, when we know how many $1.25 units are in $2000, we know that there are exactly as many $100 units in the value.

in other words, we multiply

1.25/100 × f/f

so that the numerator reaches the total of $2000 of taxes. and then the enumerator gives us the total value.

f = 2000 / 1.25 = 1600

so, we get

1.25/100 × 1600/1600 = 2000 / 160000

so, the value of the condominium is

value = $160,000

To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

52s is the maximum time that she can take on her last lap and still make the team.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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What are national laws called Let f be a differentiable function such that f(0) = 5. 420 and f'(x) = sqrt(sinx+x). What is the value of f(2pi)? Write an argumentative essay on how experiences of youth and childhood provide a foundation for life. Add citations. Countries that have lower levels of real GDP per person than the United States Selected Answer: Incorrect. tend to have growth rates that are lower than that of the United States. Answers: a. tend to have growth rates that are higher than that of the United States. b. tend to have growth rates that are lower than that of the United States. Correct. in some cases have growth rates that are higher than that of the United States and in other cases lower than that of the United States. d. tend to have growth rates that are about the same as that of the United States. What type of appraisal has a value based upon the property as it stands, with no completed repairs calculated into the value Scientists develop a good experimental design that contains both a(n) ____________ group in which the experimental variable is altered, and a control group in which the experimental variable is not altered. What is the meant by opportunity cost method? The table below describes geological events.Event Boundary where they occurConvergent Divergent TransformA Yes Yes NoB Yes Yes YesWhich statement is most likely correct? (1 point) aEvent A represents earthquakes and Event B represents volcanic eruptions. bEvent A represents volcanic eruption and Event B represents earthquakes. cEvent A represents formation of ocean basins and Event B represents earthquakes. dEvent A represents earthquakes and Event B represents formation of ocean basins. Categorize all the components involved in photosynthesis as either matter or energy! Arrange the timelines according to the order in which they occurred in the evolution of digital media. 1. Radio advertising developed in theThe United States.2. Gutenberg's printing press providedEuropeans with the ability to spreadliterature to the masses in the formof books.3. People started using personal computers(PCs) at homes.Lawrence Roberts connected a computer inMassachusetts to a computer in Californiausing telephone lines.4. Radio advertising developed in theThe United States.5. Magazines developed in London.6. The world's first television advertisementappeared on US screens. write an essay about how the government gets involved, the ways the government gets involved, and how the government interacted or participated in the things it did. A minimum of 500 words please help ;) 100 POINTS!!! Please help. Here are several function rules. Calculate the output for rules 15 when you use -6 as the input for each rule. Simplify fractions and express in the form a/b if necessary and use the word pi for . How fast is a motorcycle that is going 6 miles in 4 minute? Which of the following is the best definition of communication?Exchanging messagesTexting someonePersuading someone of your viewpointSimplifying information for a lay audienceRead Question A boat is traveling due east for 130 miles. The boat travels another 72 miles at a bearing N38E. Determine the distance, direction angle, and bearing of the boat from its original location. On January 1, 2020, Riverbed Company makes the two following acquisitions. 1. Purchases land having a fair value of $370,000 by issuing a 4-year, zero-interest-bearing promissory note in the face amount of $561,686. 2. Purchases equipment by issuing a 7%, 8-year promissory note having a maturity value of $550,000 (interest payable annually). The company has to pay 11% interest for funds from its bank. (a) Record the two journal entries that should be recorded by Riverbed Company for the two purchases on January 1, 2020. (b) Record the interest at the end of the first year on both notes using the effective-interest method how does learning about the brain and nervous system contribute to your own Self and Social Awareness? Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?Simplify your answer and write it as a fraction. I need IXL answer's PLEASE In a Torricelli barometer, a pressure of one atmosphere supports a 760 mm column of mercury. If the original tube containing the mercury is replaced with a tube having twice the diameter of the original, what would be the height of the mercury column at one atmosphere of pressure