Can a 12 year old learn algebra?

Answers

Answer 1

Yes, it is generally considered appropriate for a 12-year-old to learn algebra. Algebra is a branch of mathematics that involves working with variables and equations to solve problems. It is usually introduced to students in middle school or junior high school, which is around the age of 12 or 13.

What is the rationale for the above response?

According to studies, depending on the teaching technique and intellectual maturity: between 5 and 13. Algebra is a theoretical algebra with fewer techniques for demonstrating tangible lessons.

A youngster who develops abstract comprehension at a young age might learn extremely quickly, but a pupil who has difficulties with abstract notions may struggle well into their adolescence.

It is crucial to recognize that each student learns at a different rate and may have distinct arithmetic talents and weaknesses. It is critical that students receive the necessary support and adjustments in order to study algebra and excel in their math studies.

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Related Questions

determine the average rate of change in concentration of b from t=0 s to t=212 s.

Answers

The  average rate of change in concentration of b from t= 0 s to t = 212 s as calculated from the data given above is 0.004811  m/s.

The average rate of change is given by the formula ,

concentration change / time change.

First we will calculate the rate of change for A

rate change = 0.140 - 0.650 = -0.510 M

time difference = 212 s − 0 s = 212 s

Rate of concentration change = -0.510 M / 212 s = -0.002405 M/s

The - sign indicates that the [A] is decreasing with time.

In order to calculate the concentration rate of B we will write it in the form of stoichiometry

B = 2 x 0.002405 = +0.004811 m /s

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Use graph paper, or the Distance Formula, to graph the points. Find the
distance between the given points. When necessary, round to the nearest
tenth.
(-6, -3) and (6, 2)

Answers

Answer: I think it's 13

Step-by-step explanation: So we need to fill in the distance formula. It's d=√((x_2-x_1)²+(y_2-y_1)²).

-6=x_1

-3=y_1

6=x_2

2=y_2

Now you plug in your coordinates to the formula, so you get d=√((6--6)²+(2--3²)

(6-(-6)²=144

(2-(-3²)=-7

So now 144+25=169

The square root of 169 is 13, so d=13. That should be your answer! Let me know if it's right

how many integers between 2022 and 2388 have four distinct digits arranged in an increasing order

Answers

Answer:

Step-by-step explanation:

360

At which root does the graph of f x x 5 3 x 2 2 touch the x axis?

Answers

The root of the graph of f(x) = [tex](x-5)^{3} + (x+2)^{2}[/tex] touches the x axis at -2 and 5.

What is root of graph ?

A rooted graph is a graph in which one node is labeled in a special way so as to distinguish it from other nodes. The special node is called the root of the graph.

What is axis ?

An axis in mathematics is defined as a line that is used to make or mark measurements.

Have given ,  f(x) = [tex](x-5)^{3} + (x+2)^{2}[/tex]

⇒ [tex](x-5)^{3} * (x+2)^{2}[/tex]= 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ [tex](x-5)^{3}[/tex]= 0 and \[tex](x+2)^{2}[/tex] = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

The root of the graph of f(x) = [tex](x-5)^{3} + (x+2)^{2}[/tex] touches the x axis at -2 and 5.

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Is negative and positive infinity the same?

Answers

No, negative infinity and positive infinity are not the same. Negative infinity is a amount of number that is less than any other number, while positive infinity is a number that is greater than any other number.

Negative infinity is a number that is less than any other number. It is represented by a negative sign followed by an infinity symbol, and it is usually written as "-∞". Negative infinity is the opposite of positive infinity, which is a number that is greater than any other number. Positive infinity is usually written as "+∞". Negative infinity is used in mathematics to signify the smallest possible number or the lower limit of a range, while positive infinity is used to signify the largest possible number or the upper limit of a range. The two numbers are not the same, as they represent opposite extremes of a range. Negative infinity is the lowest possible number and positive infinity is the highest possible number.

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If your starting balance is $250, what is your new balance after a withdrawal of $56.50 and a deposit of $25.00?​

Answers

Answer:

$218.5

Step-by-step explanation:

its $218.5 because 250 - 56.50 = 193.5 and 193.5 + 25.00 + 218.5

Given:
Start - 250
Withdrawal - 56.5
Deposit - 25

Since we need to figure out their final balance, we can calculate this by subtracting their initial amount by the amount withdrawn and then adding it by the amount deposited (since withdrew means to take away money and deposit is to add money).

250 - 56.5 = 193.5

193.5 + 25 = 218.5

Their new balance would be $218.50

How do you find the missing side of a triangle without a calculator?

Answers

We can find out the missing values of the sides of a triangle by using trigonometry functions like sin, cos, and tan.

If one angle and perpendicular are given then the other side means hypotenuse can be found out by sin function.

Sin Ф = perpendicular/hypotenuse

If one angle and hypotenuse are given then the other side means base can be found out by the Cos function.

CosФ = base/ hypotenuse

If one angle and base are given then the other side means perpendicular can be found out by the tan function.

Tan Ф= perpendicular/ base

Therefore the missing sides can be found by trigonometric function while one angle is given.

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Is equidistant from all points on the circle?

Answers

The point from which all the points on a circle are equidistant is called the center of the circle, and the distance from that point to the circle is called the radius of the circle. A circle is named with a single letter, its center.

Every point in a circle is equally distance from the center. Similar to a sphere, every point on a sphere is equally distance from the center.

Two equal chords on a circle indicate that they are equally spaced from the circle's center.

The incenter of a triangle is the point that is equally far from each of its sides. A median is a line segment that has one of its endpoints in the vertex of a triangle and the other endpoint in the midpoint of the side opposite the vertex. The three medians of a triangle meet in the centroid.

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ryan is going to rent a truck for one day. there are two companies he can choose from, and they have the following prices. company a charges an initial fee of and an additional cents for every mile driven. company b charges an initial fee of and an additional cents for every mile driven. for what mileage will company a charge less than company b? write your answer as an inequality, using for the number of miles driven.

Answers

The mileage for which company A charge less than company B , m < 65 ( an Inequality using the number of miles driven).

What is subtraction and division Properties of Inequality?

The subtraction property of inequality is applied when an inequality holds the addition operator previously, i.e

x + a < b => x + a - a < b - a

=> x< b - a.

The division property of inequality is mainly applied to the shift coefficient of the variable to another side of the inequality, i.e

2x< b => 2x/2<b/2

⇒ x< b/2.

We have, ryan is going to rent a truck for one day. There are two companies say company A and company B, in which ryan have to choose one for rent a truck for one day.

Let , Total cost charged by company A = $a

Total cost charged by company B = b

The number of miles driven = m miles

For Company A, initail fee = $40 and

Additional charge = .80 cents/mile driven

so, a = 40 + 0.8m --(1)

For Company B, initail fee = $53 and

Additional charge = .60 cents/mile driven

so, b = 53 + 0.6m --(2)

We want to know the mileage at which company A charges less than B i.e a < b

Now, using equation (1) and (2) ,

40 + 0.8m < 53 + 0.6m

Simplify the above Inequality,

=> 40 + 0.8 m - 40 < 53 - 40 + 0.6 m

=> 0.8 m < 13 + 0.6 m

=> 0.8 m - 0.6 m < 13 + 0.6 m - 0.6 m

=> 0.2 m < 13

=> m < 13/0.2

=> m < 130/2 = 65

Hence, required Inequality is m< 65.

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Complete question :

ryan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.

Company A charges an initial fee of $40 and an additional .80 cents for every mile driven.

Company B charges an initial fee of $53 and an additional .60 cents for every mile driven.

For what mileages will Company A charge less than Company B? Write your answer as an inequality, using m for the number of miles driven

Simplify 9x - x + 4xy - 2xy pls be fast

Answers

Answer: 8x + 2xy

Step-by-step explanation:

9x - x + 4xy - 2xy

8x + 2xy

We can only compare the 9x with -x and the 4xy with the -2xy

Find the output for f(x) = -3x+4 when x =-5
PLEASE SHOW WORKKK
I NEED THIS ASAP

Answers

-3(-5)+4
15+4

Answer: 19

Plug in -5 for x

Answer:

f(x)=19

Step-by-step explanation:

x=-5

f(x)=-3(-5)+4

f(x)=15+4

f(x)=19

I think this is how you do it, but I haven't done these problems in a while so I could be incorrect.

Six lines are drawn, no two of which are parallel. If no more than two of the lines pass through any one point, what is the number of triangles formed?

Answers

Answer: I believe 20.

Take one pair of lines. They will intersect at a point (no lines parallel). The other four lines will intersect at different points (no more than two lines through one point) giving four triangles. There are 6C2 = 15 different pairs of lines so 15*4 = 60 triangles. However, each triangle will come from three different points so we need 60/3 = 20 distinct triangles.

EDIT: Now that I’m more awake, it occurs to me there is a much easier answer. Since no two lines are parallel and no three lines are coincident, every combination of three lines must form a triangle. There are 6C3 = 20 triangles.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

combinations

C(n,r)= n! / (r! * (n−r)!)

n = 6 : total number of lines

r = 3 : because its 3 lines to make a triangle

6 lines

6C3 = 20 triangles

quora glenn clemens

mathplanet

. a pole is carried down a hallway 9 ft wide. at the end of the hall, there is a right-angled turn into a narrower hallway 6 ft wide. what is the length of the longest pole that can be carried horizontally around the corner?

Answers

Using the geometry of the right angle triangle. Since, The narrower hallway is 6ft. The answer is 6ft.

What do you mean by geometry?

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.

What is a right angle triangle?

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

Larger hallway= 9 ft

narrower hallway=6 ft

Since, After turning in the corner, The pole should be carried through the 6ft wide hall. The maximum length of the pole is 6ft.

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How do you write a range of numbers?

Answers

The easiest way to quantify data variability is to look at the range, or the difference between the greatest and smallest value.

what is range ?

The difference between the highest and lowest values for a given data set is the statistics' range. The difference between the highest and lowest observation could likewise be used to describe the range.The sample interval is defined as the highest value less the smallest value. A crucial indicator of variability for continuous variables is the sample range.

here ,

Use an en dash (not an em dash or a hyphen) with no spaces between them.

If at least one number in the range is between 1 and 100, such as 3-11, 68-70, or 83-343, use all the digits (i.e., no elision).

Use all the numbers to represent multiples of 100, such as 100-127, 310-329, or 2,220-2,254.

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What is the slope of a line parallel to the line whose equation is x+y=-4? Fully simplified.

Answers

The slope of a line that is parallel to x + y = -4 is: -1.

How to Find the Slope of Parallel Lines?

If we have two lines that are parallel to each other, their slopes will be the same.

For example, if the slope of one line is 4, the slope of the line that is parallel to the line will also have a slope of 4.

To find the slope of the equation, x + y = -4, rewrite it in slope-intercept form, y = mx + b:

x + y = -4

y = -x - 4 [subtraction property of quality]

The slope is therefore -1. Therefore, the slope of the line that is parallel to the line whose equation is x + y = -4 is: -1.

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Why can the square root property be used to solve a quadratic equation?

Answers

Therefore, as a result square root property can be used to solve a quadratic equation.

Describe equation.

To create an equation, the equal sign is placed between two numerical or variable expressions, as in 4x+9=25.

The answer is a number that may be used in an equation to replace the variable.

According to the given question:

In order to isolate the variable being solved,

the square exponents are removed using the Square Root Property.

The positive and negative values of the number that, when multiplied by itself, equals x are provided by the formula x=±√c x = ± c.

Therefore , as a result square root property can be used to solve a quadratic equation.

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how many ways are there that no two students will have the same birth date in a class of size 60?

Answers

The number of ways in a class of size 60 where no two students will have the same birth date is 365 x 364 x 363 x 362 x ........... x 306.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of students = 60

We will assume 365 days in a year.

Now,

The first student will have 365 possible days for his birthday.

The second student will have 364 possible days for his birthday.

In this way,

The last student will have (365 - 59) possible days for his birthday.

Now,

The number of possible ways for 60 students.

= 365 x 364 x 363 x 362 x ........... x 306

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John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table.

A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry 25 dollars. Column 5 is labeled Ratio with entry e. Column 6 is labeled Percent Error with entry f.

What is the ratio? e =
What is the percent error

Answers

The ratio of the error is; 0.3333

The Percent error of the given problem is;  33.33%

How to find the percentage error?

We are given;

Amount spent by John on shopping = $75

Amount expected to spend = $100

Since this is what was given then it means we will have the following;

The approximate value to be spent = 100 dollars

Exact Value  spent = 75 dollars

Therefore, the error made is;

Error = Approximate value - Exact value  

Error = 100 - 75

Error =  25 dollars

Thus, the error when it is absolute is;

Absolute Error = ±25 dollars

Now, the ratio will be;

Ratio(e) = Error/exact value spent

e = 25/75 = 0.3333

Percent Error = error * 100%

Percent error = 0.3333 * 100%

Percent error =  33.33%

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WILL MAKE BRAINLIEST!!! Cheese is sold in packages of 8 and buns are sold in packages of 12. Harvey makes each burger with 1 patty and 1 bun. Harvey wants to buy enough cheese and buns to make burgers with no cheese or buns left over. At least how many burgers will Harvey make?

Answers

I have attached the answer in the image! :)

What is the volume of a pyramid with a base area of a square and a height of a cube?

Answers

The volume of the pyramid with the given base area of square and height of the cube is given by: V = ( 1/3) × ( y)² × (h).

As given in the question,

Base of the given pyramid is square in shape.

Base area of the pyramid is given by:

Let 'y' be the side length of the square base.

Area of the square base = ( side length )²

                                         = y²

let 'h' be the height of the cube

Volume (V) of the pyramid = ( 1/3 ) × Base area × height

⇒Volume of the pyramid = ( 1/3 ) ×  y² × h

Therefore, the volume of the pyramid with square base and height of the cube is equal to Volume of the pyramid = ( 1/3 ) ×  y² × h.

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Do the one you would like please show work

Answers

6) According to the time and work concept, 18 hours would be taken for James to complete the work.

How to solve time and work problems?

Knowing the formulas can immediately lead you to a solution upon reading the question. Therefore, knowing the formula for any topic in numerical ability simplifies the solution and associated calculations.

Here are a few of these essential time and work formulas for your reference.

Work Performed = Time Required Rate of Work

Work Rate = 1 / Time Taken

Duration = 1 / Rate of Work

If a piece of work is completed in x number of days, then the amount of work completed in one day is equal to 1/x. Total Work Completed = Number of Days Efficiency.

Time and Productivity are inversely proportional to one another X:

if y is the ratio of the number of men needed to complete a piece of work, then y:x is the ratio of the time required by those men to complete the work.

If x number of people can complete W1 work in D1 days while working T1 hours per day, and y number of people can complete W2 work in D2 days while working T2 hours per day, then the relationship between them is Time and Work Formula i..e;

[tex]\frac{M1.D1.T1}{W1} =\frac{M2.D2.T2}{W2}[/tex]

Calculation:

Monica can do the work in 9 hours so she does a work of 1/9 in an hour.

The same work done by Monica and James takes 6 hours so they both can do a 1/6 th of work in an hour.

Developing the relation:

[tex]\frac{1}{9}+\frac{1}{x}=\frac{1}{6}[/tex]

here, the speed of Monica is 1/9 and the speed of James in completing the work is 1/x and the speed of them both is 1/6

So solving this equation we get ,

[tex]6x+54 = 9x[/tex]

[tex]3x = 54\\x=18\\[/tex]

So the speed of James in completing the work is 1/18th in an hour So he takes 18 hours to complete the whole work by himself alone.

According to the time and work concept, 18 hours would be taken for James to complete the work.

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find the x number i will gave 10 points​

Answers

Answer:

x is 5 cm

Step-by-step explanation:

x is half of the diagonal and we can see that the diagonal is 10 cm

and half of 10 is

X=5cm !!! Good luck in school :)

which of the following are true of AB given A(9, 5) and B(15, 2)? select all that apply

Answers

Option A, C, and E are the correct option.

What is midpoint?

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Given, the coordinate of the vertices of AB line segment are A(9, 5) and B(15, 2).

The formula midpoint of the points (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁ + y₂)/2) .

The midpoint of the line segment AB is ((9 + 15)/2, (5+2)/2)

= (24/2 , 7/2)

= (12, 3.5)

The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₁ - y₂)/(x₁ + x₂).

The slope of the line AB is (5 - 2)/(9 - 15) = 3/(-6) = -1/2.

The slope of perpendicular line of a line with slope m is = -1/m.

The slope of perpendicular bisector is - 1/( -1/2) = 2

The distance of midpoint from the endpoints is equal. The perpendicular bisector of the line passes through the midpoint.

The distance of midpoint from the endpoints of the segment to any point on the perpendiculars bisector are equal.

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What does range mean *?

Answers

The range of possibilities for variation or the boundaries between them: the price spectrum for steel; many different styles. the size or scope of a process, action, or operation .

what is range ?

The range of values between the highest and lowest values for a certain data collection is known as the statistical range. It is also possible to show the range by comparing the highest and lowest observational values. The sample interval is found by subtracting the highest value from the lowest. For continuously varying variables, the sample range is a key measure of variability.

here ,

Between the lowest and greatest numbers, there is a range. In the example, the lowest value is 2, and the highest is 9.

The range therefore equals 9 x 2 = 8.

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What is the formula for horizontal and vertical?

Answers

Horizontal asymptotes is a horizontal line and its equation is y=k

vertical asymptotes is a vertical line and its eqaution is x=k

In these given lines we can find horizontal and vertical asymptotes.

What is the formula for horizontal asymtotes?

To find the horizontal asymptotes ,we compare the degree of the numerator with the degree of denomenator.

f(x)=ax^n/bx^m

if degree of numerator is greater than degree of denominator then does not exist horizontal asymptotes.

what is the formula for vertical asymptotes?

To find  the vertical asymptotes , we use

f(x)= p(x)/q(x)

To set the denominator q(x) to zero ,and solve the value for x.

where p(x) and q(X) are polynomial functions and q(x) [tex]\neq[/tex] 0

vertical asymptotes is x=k where k represents real zero of q(x).

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What are the 5 ways to prove congruence?

Answers

The five ways to prove the congruence theorem are listed as,

SSS TheoremSAS TheoremASA TheoremAAS TheoremRHS Theorem

Here we have to find the 5 ways to prove congruence.

As we all know that, according to the concept of triangle, then term congruence referred as if two shapes are congruent if and only if they have the exactly the same sides and exactly the same angles.

Based on these we have derived 5 sub theorem, from the congruence theorem, they are listed as,

1) SSS   (side, side, side)

2) SAS   (side, angle, side)

3) ASA   (angle, side, angle)

4) AAS   (angle, angle, side)

5) HL   (hypotenuse, leg)

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What can you say about the relationship between the volume of a rectangular prism and a pyramid?

Answers

When a prism and pyramid have the same base and height, their volumes are inversely proportional: the volume of the pyramid is one-third that of the prism.

A pyramid is a three-dimensional object that has faces made of triangles and a base made of polygons. The base is the bottom, while the faces are the sides.

A prism is a three-dimensional object having two identically shaped and sized polygonal bases and rectangular sides. In the actual world, a cardboard box serves as an illustration of a prism.

When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism.

In reality, when this is the case, the pyramid occupies precisely one-third of the prism's volume. When a prism and pyramid have the same base and height, their volumes are inversely proportional: the volume of the pyramid is one-third that of the prism.

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Matt shot an 86 on the golf course on Monday then on Friday he shot a 95 what is the percentage of change rounded to the nearest 10th of a percent?

Answers

Answer:

increase 10.5 percent

Step-by-step explanation:

..

Pleaseeeee helppp. I'm so confused.​

Answers

The missing number is 2

Answer:

x ≤ 2

Step-by-step explanation:

Brainliest pls btw did it help

At the city museum, child admission is $5.40 and adult admission is $9.40. On Tuesday, three times as many adult tickets as child tickets were sold, for a total
sales of $974.40. How many child tickets were sold that day?

Answers

The number of tickets sold will be equal to 29.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the number of child tickets that were sold

Let y represent the number of adult tickets that were sold

5.30x +9.40y= 1206

The number of adult tickets sold was three times greater than the number of child tickets,

y= 3x

Substitute 3x for y in the equation,

5.40x + 9.40y= 974.40

5.40x + 9.40(3x)= 974.40

5.40x + 28.2x= 974.40

33.6x= 974.40

Divide both sides by the coefficient of x which is 33.5,

x= 974.40/33.6

x = 29

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! 50 POINTS !Is the statement true or false? Despite the efforts of British abolitionists, Britain remained the nation most in favor of slavery. O true O false The National Restaurant Association (NRA) is the largest food service trade organization in the world. true or false The low temperature at 6:45 A.M. was 22F. At 3:15 P.M. the temperature was 5F. What was the range of temperature for the day? A 27F B 17F C 17F D 27F i need help!! please Which statement describes the caste system of ancient India? A. The caste system was only in existence for a few hundred years.B. Spiritual leaders, called Brahmins, made up the lowest classC. A person born into one caste rarely changed castes or mixed with members of other castes.D. Outcasts could easily move up to another caste by working hard. 1. The section "Pollution Problem" is mainly about how the fashion industry affects A. the water supply B. the economy C. people's health D. the environmentHelp please The median for the 5 numbers 2647, 1956, 2250, 2141, and x is 2141. What is the largest possible value for the number x? how do i solve this question finding area of circle with radius , giving brainliest :)) pls help asap PLEASE HELP I HAVE NO IDEA WHAT TO DO!!! This is Algebra and I'm really confused please help Write a short paragraph about how gases are all around you. Provide at least 2 examples Can someone help make a poem for stop child abuse pls add 4xy,-2xy,-5xy,3xy plz explain TEST 1DATE:LEXIS AND STRUCTURE1,the manager was late for meeting because he..............a flat tyre. a .had b.was having c.has d.will have Complete the chart which of these clues help you understand what the object means The chart below shows the average surface temperature or temperature range for each of the eight planets.Planet TemperatureMercury 100700 KVenus 735 KEarth 287 KMars 227 KJupiter 112165 KSaturn 84134 KUranus 5376 KNeptune 5572 KWhat conclusion can be drawn from this information? Which of these sentences uses an appositive correctly? My teacher, Ms. Smith, is very smart and funny. My teacher, Ms. Smith is very smart and funny. My teacher Ms. Smith is very, smart and, funny. My teacher, Ms. Smith is very smart, and funny. The area of a triangle with base b and height h is 1/2bh. Jon works for an advertising agency, where he designed a billboard shaped like a tortilla chip. The tortilla chip billboard is 15 feet high and 12 feet wide at its base.What is the area of the tortilla chip billboard?Write your answer as a whole number or decimal. solve the rational equation 2x/x-3=3x/x-2First to answer gets Brainlyest Update: answer is 0,5