Is a solution of pair of equations 3x 2y 4 and 2x y 5?

Answers

Answer 1

The solution of this pair of equations is (2, 3).

To solve this pair of equations, we can use the substitution method.

First, we solve the first equation for y:

3x + 2y = 4

2y = 4 - 3x

y = (4 - 3x) / 2

Next, we substitute this expression for y in the second equation:

2x + (4 - 3x) / 2 = 5

2x + 2 - 3x = 10

-x = 8

x = -8

Finally, we substitute this value for x in the expression for y to find the value of y:

y = (4 - 3(-8)) / 2

y = (4 + 24) / 2

y = 28 / 2

y = 14

Therefore, the solution of this pair of equations is (x, y) = (-8, 14).

Learn more about pair of equations here:

https://brainly.com/question/8307359

#SPJ4


Related Questions

in macy's department store, every item has a 30% discount or markdown. If the original price of a pair of Adidas sneakers cost $140, how much would the final price of the sneaker be after the discount is taken off

Answers

$98 is the final price of the sneaker be after the discount is taken off

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that in macy's department store, every item has a 30% discount or markdown.

The original price of a pair of Adidas sneakers cost $140

We need to find the final price of the sneaker be after the discount is taken off

Let us find 30% of 140

Convert 30% to decimal value by dividing with 100

30/100×140

0.3×140=42

So 30% of 140 is 42.

After removing discount the amount will be 140-42=98

Hence, $98 is the final price of the sneaker be after the discount is taken off

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

(x + 7 ) + 3y help me please

Answers

Answer:

x+7+3y

Step-by-step explanation:

You just remove the parentheses in this case since you don't have to change any of the operations.  

Answer:

Step-by-step explanation:

x+7+3y simplifed

hey! please help i’ll give brainliest

Answers

1st answer ! this is like past tense and present tense.

Answer:

when the verbi is taking place, answer 1

Step-by-step explanation:

this is something you will just have to memorize, but the next two answers are both relating to the person, or who and how many are talking, the last option is describing an adverb, or a word that describes a verb. remember that a verb is the action, it has nothing to do with who did it or how it was done, those are described elsewhere

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

caleb earned 15 dollars on monday and 25 dollars on saturday when he raked his neighbors yard. on sunday he gave 10 percent in the offering at church. how much did he give away.

Answers

15 + 25 = 40

10% of 40 = 4

Therefore, Caleb gave $4 to the church!

Hope this helps :D

Why is the 4th interval called perfect?

Answers

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance.

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third  and two semi-steps less compared to the perfect fifth .

The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated  (an alternate spelling is augmented third).

To learn more about interval:

https://brainly.com/question/29197921

#SPJ4

(PLEASE HELP)
What is the sum of the values of luann’s three cards?

Answers

Answer:

the sum of the values should be -14

Step-by-step explanation:

-12+3-5=-14

HELP PLEASE THIS IS A TEST SO PLEASE DO TGE CORRECT ANSWERS! NO LINKS

Answers

Answer:

B. (1,4)

Step-by-step explanation:

you see the x and y coordinate by looking at the numbers (x,y) = (1,4)

The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years. What percent of fans are between 18 and 27 years old?

Answers

The percent of fans that are between 18 and 27 years old is 16.80%.

How to calculate the percentage of fans?

From the information, the average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years and we want to calculate the percent of fans are between 18 and 27 years old.

It should be noted that this will be Illustrated through the normal curve.

The probability will be:

P(18 ≤ X ≤ 27)

= P(18 - 34/8) ≤ Z ≤ (27 - 34 / 8

= P(-2.0 ≤ Z ≤ -0.875)

= 0.1908 - 0.02275 (From the standard normal calculator)

= 16.80%

The percentage is 16.80%.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Is 2025 a perfect square Yes or no?

Answers

EXPLANATION

2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.

How do you find the domain and range of a function x 4?

Answers

The domain of x=4 is (−∞,∞) and range is {y|y=4} .

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

(−∞,∞)

{x|x ∈ R}

y=4

is a straight line perpendicular to the y-axis, which means that the range is a set of one value  {y|y =4}

Set-Builder Notation:{y|y =4}.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

To learn more about Domain :

https://brainly.com/question/2264373

#SPJ4

75 Points!
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.

Answers

Answer:
B. Yes, the constant of proportionality is 2
Step-by-step explanation:
The constant of proportionality is 2 because 4/2 = 2, 8/4 = 2, etc.

Answer:

B. Yes, the constant of proportionality is 2.

Step-by-step explanation:

Given:

A linear relationship is shown in the table.

Time (hours) 2 4 6 8

Distance (miles) 4 8 12 16

Is the linear relationship also proportional? Explain.

A. No, the constant of proportionality is 2.

B. Yes, the constant of proportionality is 2.

C. No, there is no constant of proportionality.

D. Yes, there is no constant of proportionality.

Solve:

To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.

Let's see the table:

Time (hours)                    Distance (miles)

2                                                  4

4                                                  8

6                                                  12

8                                                  16

The formula for it is 'k=y/x'

where;

k: constant of proportionality  

y and x are two quantities that are directly proportional to each other.

Also means;

y = Distance

x = Time(Hours)

Time (hours)                    Distance (miles)

2                                                  4                                                4/2=2

4                                                  8                                                8/4=2

6                                                  12                                               12/6=2

8                                                  16                                                16/8=2

As you see all equal to 2. It a constant. Also means that;

Yes, the linear relationship is proportional and the constant of proportionality is 2.

Answer: B. Yes, the constant of proportionality is 2.

RevyBreeze

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of x satisfies this equation?
1.5(4)25
= 12
Round your answer to the nearest hundredth.
The value of x is

Answers

Answer:

0.75

Step-by-step explanation:

plato

The value of x for the equation is,

⇒ x = 3/4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ 1.5 (4)²ˣ = 12

Now, We can solve for x as;

⇒ 1.5 (4)²ˣ = 12

Divide by 1.5;

⇒ (4)²ˣ = 12/1.5

⇒ (4)²ˣ = 8

⇒ (2)⁴ˣ = 2³

By comparing we get;

⇒ 4x = 3

⇒ x = 3/4

Thus, The value of x for the equation is,

⇒ x = 3/4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

A card is picked at random from a standard deck of cards. What is the sample space for this experiment if you were trying to find P(face card)? a. Sample space = 12 b. Sample space = c. Sample space = d. Sample space = 52

Answers

The sample space of the experiment is 52.

What is probability?

The possibility that an event will occur among all potential events is known as probability. It ranges from 0 to 1. The probability is calculated by dividing the number of things by all of the items. Population includes the sample. When studying the entire population is challenging, it is studied.

52 cards in a deck

There are 12 face cards.

The experiment needs a sample space of 52 to find the face cards.

Given that a regular deck of cards is available.

The sample space required for the experiment to determine the probability of face cards must be found.

A face card may or may not be revealed when we pull a card from the deck. So, in order to rule out the possibility that a face card is present at the end of the deck, we must draw every card from a regular deck.

52 samples are therefore required for the experiment.

To know more about probability visit:-

brainly.com/question/11234923

#SPJ4

Plssssss someone help I've been stuck on this for over an hour.

Answers

Answer:

c = √52

Step-by-step explanation:

→ Write Pythagoras' theorem

a² + b² = c²

→ Substitute in the numbers

4² + 6² = c²

→ Simplify

52 = c²

→ Square root both sides

√52 = c

In the figure shown, EF is tangent to the circle at F, and EG is
tangent to the circle at G. Line segments HF, PG, HJ, and PJ
are also tangent segments.
When mEF = 10 units, what is the perimeter of triangle EHP?
Explain your reasoning.

Answers

Answer:

The perimeter is 20 units

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

According to the two-tangent theorem, two tangent segments drawn to one circle from the same external point are congruent.

That is:

EF = EG,HF = HJ,PJ = PG.

We have EF = 10 units, it means EG is also 10 units.

The perimeter of triangle EHP is:

P = EH + HP + EP

We can substitute:

HP = HJ + PJ, segment addition,HJ = HF, stated above,PJ = PG, stated above.

Then the perimeter is:

P = (EH + HF) + (EP + PJ) = EF + EG = 10 + 10 = 20 units

The table shows the heights y (in centimeters) of a plant after x weeks. Use the table to complete the statements.
x 0
4
8
y 17 29 41

Answers

Answers are

1) equation is y = 3x + 17
2) slope is rate of 3
3) y intercept is 17
4) how many weeks to reach 65 cm? 16


Step by step

Using points (0,17) and (4,29)
Find slope by using y2 - y1 over x2 - x1

29 - 17 over 4 - 0 = 12/4 simplified to 3

Your slope (m) is 3

Now using point slope form we can find the equation of the line using slope of 3 and (0, 17)

y - y1 = m (x - x1)

y - 17 = 3 (x - 0)
Distribute multiply

y - 17 = 3x

Add 17 to both sides to isolate y

y - 17 + 17 = 3x + 17
Simplify

y = 3x + 17

This is your equation for the line

Now let’s answer questions

1) equation is y = 3x + 17
2) slope is rate of 3
3) y intercept is 17
4) how many weeks to reach 65 cm?

Using our equation y = 3x + 17
we are solving for x,
we know our output (y) is 65

65 = 3x + 17

Subtract 17 from both sides to isolate x

65 - 17 = 3x
Simplify

48 = 3x

Divide both sides by 3 to solve for x

48/3 = 3/3 x

16 = x

So it will take 16 weeks
to reach 65 cm height

NEED HELP ILL GIVE BRAINLIEST!!!!

Dividing mixed numbers^^

Answers

Answer:

7) 35/22

8) 45/22

9) 7/5

10) 41/45

7: 1 13/22
8: 2 1/22
9: 1 2/5
10: 41/45

You can use calculatorsoup.com for anymore math questions you have

Discover the value of each of the shapes. The total weight is 48

Answers

That’s right now I’m not sure if

OPEN ENDED NOT MULTIPLE CHOICE

Some recent studies suggest that a teenager sends an average of 60 texts per day. For each of
the following scenarios, find the linear function that describes the relationship between the input
value and the output value. Then, determine whether the graph of the function is increasing,
decreasing, or constant.


a. The total number of texts a teen sends is considered a function of time in days. The input is
the number of days, and output is the total number of texts sent.


b. A teen has a limit of 500 texts per month in his or her data plan. The input is the number of
days, and output is the total number of texts remaining for the month.


c. A teen has an unlimited number of texts in his or her data plan for a cost of $50 per month.
The input is the number of days, and output is the total cost of texting each month

Answers

The correct answer is C

−4 1 + 2/3 × 3/5 ÷(−2/5 )

Answers

the answer to −41 + 2/3 × 3/5 ÷(−2/5 ) is -42

The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and the volume of the cone.

Answers

The height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3

We can start by using the formulas for the surface area of a sphere and the curved surface area of a cone. The surface area of a sphere is given by 4 * pi * r^2, where r is the radius of the sphere. The curved surface area of a cone is given by pi * r * l, where r is the radius of the base of the cone and l is the slant height of the cone.

Given that the surface area of the sphere is five times the area of the curved surface of the cone, we can write the following equation:

4 * pi * (5^2) = 5 * pi * r * l

We can then solve for the slant height l of the cone:

l = (4*5^2) / r

Given that the radius of the cone is 4 cm, we can substitute this into the equation and solve for l:

l = 100/4 = 25cm

The volume of the cone is 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone.

As we know the slant height and radius of the cone, we can use the Pythagorean theorem to find the height of the cone:

h = sqrt(l^2 - r^2) = sqrt(25^2 - 4^2) = sqrt(625 - 16) = sqrt(609) = 24.6cm

Therefore, the height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3

To know more about volume of the cone visit :

https://brainly.com/question/29767724?referrer=searchResults

#SPJ4

If £2000 was put into a bank acount that pays 3% compound intrest per year, how much will be in the account after 2 years

Answers

Answer:

After 2 years, there will be £ 2,121.80 in the account.

Step-by-step explanation:

Since £ 2000 was put into a bank account that pays 3% compound intrest per year, to determine how much will be in the account after 2 years the following calculation must be performed:

2000 x (1 + 0.03 / 1) ^ 1x2 = X

2000 x 1.03 ^ 2 = X

2,121.8 = X

Therefore, after 2 years, there will be £ 2,121.80 in the account.

circle c shown below was dilated with the origin as the center of dilation to create circle C' which rule represents the transformation?

Answers

Answer:

A. (x, y) → (2/7x, 2/7y)

Step-by-step explanation:

Equation of the smaller circle:

x² + y² = 2²

Equation of the greater circle:

x² + y² = 7²

The scale factor is the ratio of radiuses:

k = r₁ / r₂ = 2/7

So the rule is:

(x, y) → (kx, ky) = (2/7x, 2/7y)

Correct choice is A

Answer:

[tex]\sf A. \quad (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]

Step-by-step explanation:

The distance from the center of the circle to any point on the circumference is the radius.

From inspection of the given graph:

Radius of Circle C (before dilation) = 2 unitsRadius of Circle C' (after dilation) = 7 units

To find the scale factor of the dilation from the small circle C to the large circle C', divide the radius of the large circle by the radius of the small circle.

Therefore, the dilation is an enlargement of scale factor ⁷/₂ about the origin.

So the rule that represents the transformation is:

[tex]\sf (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]

Check (see attached):

Point (0, 2) is on circle C.

[tex]\implies \sf (0, 2) \rightarrow \left(\dfrac{7}{2}(0), \dfrac{7}{2}(2) \right)=(0,7)[/tex]

Point (1, √3) is on Circle C:

[tex]\implies \sf (1, \sqrt{3}) \rightarrow \left(\dfrac{7}{2}(1), \dfrac{7}{2}(\sqrt{3}) \right)=\left(3.5,6.06)[/tex]

Why can the sine ratio never be greater than 1?

Answers

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

What is sine and cosine?

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

Learn more about sine and cosine

https://brainly.com/question/13813821

#SPJ4

Which direction is XYZ?

Answers

The directions of XYZ in graph are left and right, top and bottom and outward from the screen respectively.

The term graph is known as a pictorial representation or a diagram that represents data or values in an organized manner.

Here we have to find the directions of XYZ on the graph.

Here we have know that X-Y-Z matrix is a three-dimensional structure whereby the x-axis and y-axis denote the first two dimensions and the z-axis is the third dimension.

And then in a graphic image, then the x denotes width, y denotes height and the z represents depth.

The directions of the x axis is in the plane of the screen and is positive toward the right and negative toward the left. Where as the directions of the y axis is in the plane of the screen and is positive toward the top and negative toward the bottom.

Finally the directions of the z axis is perpendicular to the screen or keyboard, and is positive extending outward from the screen.

To know more about graph here,

https://brainly.com/question/17267403

#SPJ4

I NEED HELPPP ASAPP PLEASE AND THANKYOU

Answers

Since you know x = 2y,
You can plug in 2y for x in second equation.
2(2y) + 5y = 9
4y + 5y = 9
9y = 9, y = 1
Plug 1 into y for first equation
x = 2(1) = 2

Solution: x = 2, and y = 1

Answer:

Using substitution method

x= 2

y= 1

How many zeros are at the end of the product $25 \times 240$?

Answers

Answer: There are three 0s

240 x 25 = 6000 and there are three 0s in 6000

Find the derivative of the function. y = arctan √[(1 − x) /(1 + x)]
y' = ?
and
Find the derivative of the function. y = 3tan−1 [x − √(1 + x^2)]
y' = ?

Answers

The derivative function for equations 1 and 2 will be

y' = -1/ [2√(1-x²)] and y' = 3/[2(1 + x²)] respectively

Here we need to find the derivative of

[tex]y = tan^{-1}\sqrt{\frac{1-x}{1+x} }[/tex]

Let x = cos2z

Hence we get

[tex]y = tan^{-1}\sqrt{\frac{1-cos2z}{1+cos2z} }[/tex]

[tex]or, y = tan^{-1}\sqrt{\frac{2sin^{2}z}{2cos^{2}z} }[/tex]

[tex]or, y = tan^{-1}(tanz)[/tex]

or, y = z

Hence dy/dx = dz/dx

We know that

x = cos2z

or, 2z = cos⁻¹x

or, 2 dz/dx = -1/√(1-x²)

Hence dy/dx = -1/ [2√(1-x²)]

The second equation is

[tex]y = 3tan^{-1}[x-\sqrt{1+x^{2}} ][/tex]

Let x = cotz

Hence we get

[tex]y = 3tan^{-1}[cotz-\sqrt{1+cot^{2}z} ][/tex]

[tex]y = 3tan^{-1}[cotz-\sqrt{cosec^{2}z} ][/tex]

or, y = 3tan⁻¹ [cotz - cosecz]

or, y = 3tan⁻¹ [cosz/sinx - 1/sinz]

or, y = 3tan⁻¹ [(cosz - 1)/sinz]

or, y = 3tan⁻¹ [-2sin²(z/2)/{2sin(z/2) cos(z/2)}]

or, y = 3tan⁻¹ [-sin(z/2)/cos(z/2)]

or, y = 3tan⁻¹ [-tan{z/2)]

or, y = 3tan⁻¹ [tan{-z/2)]

or, y = -3z/2

or, dy/dz = -3/2 dz/dx

We have

x = cotz

or, z = cot⁻¹z

or, dz/dx = -1/(1 + x²)

Hence we get

dy/dx = 3/[2(1 + x²)]

To learn more about differentiation visit

https://brainly.com/question/27986235

#SPJ4

HURRY HELP ME PLEASE

Answers

Answer:

c maybe

Step-by-step explanation:

Answer:

i cant see it very well but i wanna say its A but im not 100% sure

Step-by-step explanation:

Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).

Select one:

a.
2x + y - 3 = 0


b.
- 2x + 3y - 6 = 0


c.
x + y - 2 = 0


d.
2x + 3y + 6 = 0

Answers

Answer:

Option b.  -2x + 3y - 6 = 0

Step-by-step explanation:

Let's look for a linear equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Calculate the slope first.  Slope is the Rise/Run of any two points on a straight line.   Using the given points, (0,2) and (3,4) we find:

  Rise = 4 - 2 = 2

  Run = 3 - 0 = 3

Slope, m, Rise/Run = (2/3)

The equation becomes y = (2/3)x + b

To find b, enter either of the two given points.  

y = (2/3)x + b

2 = (2/3)(0) + b  :  for point (0,2)

b = 2

The equation becomes:  y = (2/3)x + 2

Reformat this to match the format of the answer options.  

y = (2/3)x + 2    

3y = 2x + 6      [Multiplied by 3]

3y - 2x - 6 = 0

-2x + 3y - 6 = 0     [rearrange]

This matches option b.

Other Questions
A snack recipe calls for cup of sunflower seeds. The recipe makes 6 cups of the snack. Joshua wants to make 24 cups of the snack to bring on a camping trip. How many cups of sunflower seeds will Joshua need? How many Crimean wars were there? Can you please help me? I'll mark brainiest. NO LINKS!!!!!!! What is one characteristic of the fertile cresent that encouraged the development of agriculture The legislature in a state has 50 seats. Apportion these seats to the five counties below using Lowndes' method.County Population Seats ReceivedAdams 71,000 Grant 483,000 Colton 224,000 Davis 406,000 Hayes 444,000 Please helppppp ASAP mark you Brainliest Prepare a list of qualifications for a government to be considered totalitarian. Explain the application of biology epecially the role of microbiology and biotechnology for the growing public and global health need A, in the development effective diagnotic ,prevention ,and treatment meaure including production of novel drug and recombinant vaccine B,in the production of nutritionally enriched genetically modified crop and anmimal to alloviate food inecurity which i a common dilemma particularly in underdeveloped countrie The table shows the values Jane obtained when she measured the thickness of a steel pipe. The known thickness of the pipe is 1.32 centimeters. Which statement about her results is true? Convert 723.8 mm to cm. What is this number in standard form? 19 thousands, 6 hundreds, 12 tens, 5 ones Your answer What is Executive Order 9066 ? A gas has a pressure of 1.74 atm when the temperature is 237K. The gas is thenheated until the temperature measures 312K. What will be the new pressure? *2.29 atm1.32 atmO 128662.56 atm Brianne's family has to leave their home because it isn't safe during the storm. What evidence from the text supports this statement? Which two statements describe forces that move water within the globalocean conveyor belt?A. Upwelling causes cold water to separate and sink below warmerwater.B. Saltwater freezes, leaving behind warmer freshwater that flowsfaster.C. Water freezes, causing the saltier and denser remaining liquidwater to sink.D. Wind pushes surface water away from shore, and cold water risesto replace it. 100 POINTS HELP PLS Part AWhat is a key theme of "Rules of the Game"?ResponsesThe children of immigrants often feel torn between two cultures.The children of immigrants often feel torn between two cultures.Modern urban life isolates people.Modern urban life isolates people.Young people are naturally carefree and unafraid of taking risks.Young people are naturally carefree and unafraid of taking risks.Nothing matters more than hard work.Nothing matters more than hard work.Question 2Part B - Points depend on a correct response in Part A.What is one way that Amy Tan develops the theme identified in Part A?ResponsesShe shows Waverly winning a trophy in her very first chess tournament.She shows Waverly winning a trophy in her very first chess tournament.She includes details about how, at the Christmas party, one girl got a coloring book while another received a bottle of lavender water.She includes details about how, at the Christmas party, one girl got a coloring book while another received a bottle of lavender water.She sets the story in Chinatown, a place where Chinese and American cultures come into contact with each other.She sets the story in Chinatown, a place where Chinese and American cultures come into contact with each other.She describes how Waverly's superior chess skills require her brothers to do her share of the household chores.She describes how Waverly's superior chess skills require her brothers to do her share of the household chores. 5. The prices of packages of golf balls arerecorded in the table.Packages of Golf Balls1234Cost$15$30$45$60A. Write a rule to find the cost ofn packages of golf balls.B. How much do 7 packages of golfballs cost? A car is traveling for 1638 km for a time period of 6.5 hours. What is the average speed of the car? Find the value of x in the diagram at the right.Show your work. How do the authors support their claim and purpose with word choice sugar changed the world?