Simplify [tex]\sqrt{18}. \\[/tex]

[tex]A; 2\sqrt{3} \\B; 2\sqrt{9} \\C; 3\sqrt{2} \\D; 9\sqrt{2} \\[/tex]

Answers

Answer 1

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Answer:  [tex]\textsf{Option C, 3}\sqrt{2}[/tex]

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Given:  [tex]\sqrt{18}[/tex]

Find: [tex]\textsf{Simplify the expression}[/tex]

Solution: In order to get a number outside of the square root there must be two of them inside of the square root.  The first step that we need to take is to break down the number 18 into it's lowest factors and then take out the numbers can be taken out.

Break down the number 18

[tex]\sqrt{18}[/tex][tex]\sqrt{\textsf{2 * 3 * 3}}[/tex][tex]\sqrt{\textsf{2 * 3}^2}[/tex]

Take 3 outside of the square root

[tex]\sqrt{\textsf{2 * 3}^2}[/tex][tex]\textsf{3}\sqrt{\textsf{2}[/tex]

Therefore, the option that would best match the results that were solved for is option C, [tex]\textsf{3}\sqrt{\textsf{2}[/tex]

Answer 2
The answer is D because that’s the square root

Related Questions

Expand & simplify 6 ( p + 6 ) + 2 ( p + 4 )

Answers

Here is a list of ages (years) of children in a room:

8
,


8
,


9
,


5
,


10
,


4
,


9


State the median.

Answers

Answer:

5

Step-by-step explanation:

median basically means the number which is in the middle so 8,8,9, 5 ,10,4,9

the median is 5 because left and right middle is 5 that's why it is median

The area of a square is given by and the perimeter is given by , where s is the side length of the square.
If the side length of a square is 4 inches, its area is
square inches and its perimeter is
inches.

Answers

The area of the square is 16 square inches and its perimeter is 16 inches.

What is Area of square ?

A square is a two-dimensional geometric shape with four equal sides and four right angles. The area of a square is the measure of the region enclosed by the square. The area is expressed in square units, such as square inches, square meters, or square feet.

The area of a square is given by the formula:

A = s²

where A is the area and s is the length of a side.

If the side length of the square is 4 inches, the area can be calculated as:

A = 4² = 16 square inches.

The perimeter of a square is given by the formula:

P = 4s

where P is the perimeter and s is the length of a side.

If the side length of the square is 4 inches, the perimeter can be calculated as:

P = 4 x 4 = 16 inches.

Therefore, the area of the square is 16 square inches and its perimeter is 16 inches.

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if you are examining a triangle with given measurements for one leg and the hypotnuse,how will you determine the measure of the unknown leg?

Answers

We will apply the Pythagoras theorem to find the measure of the unknown leg in a triangle when one leg and the hypotenuse are provided dimensions.

What is the definition of a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometric function.

According to Pythagoras, the sum of the squares of two sides equals the square of the longest side.

[tex]\rm h^2 = p^2+ b^2[/tex]

Where,

h is the hypotenuse

p is the perpendicular

b is the base

If any of the two is given the third side will be obtained using the  Pythagoras theorem.

In a triangle with given measurements for one leg and the hypotenuse, we will determine the measure of the unknown leg by the Pythagoras theorem.

Hence we willl apply the pythogorous theorem for finding the unknown side.

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Use the periodic compound interest formula to solve.
Suppose that $11,000 is invested at 5.8% compounded quarterly. Find the total amount of this investment after 6 years.

Answers

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $11,000r = 5.8% = 0.058n = 4 (quarterly)t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}[/tex]

[tex]\implies \sf A=11000(1.0145)^{24}[/tex]

[tex]\implies \sf A=15539.67451...[/tex]

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

Mark's Digital Place has a compact digital camera at a price of $425, a 8 inch tablet for $540 and a
game console for $610. If you want to get an additional three years warranty, then you need to pay
15% extra on the original price and $50.
Daphne wants to buy a digital camera and a tablet to start a photography course. When she went into
the store, she found that the store id offering a discount of 5% on the camera and 80 on the tablet.
Daphne also want the additional three years warranty. How müch money does Daphne need to pay to
buy both the items with a three years additional warranty on each item?

Answers

Answer:

jjxfzhfxjgjhzjjjtxjxjxktxjtxjtxtxh

Select the correct answer.
One tactor of the polynomial 253 - 352 - 35 + 2 is (x - 2). Which expression represents the other factor, or factors, of the polynomial?
OA. (2:2 + 1)
OB. (252 - 5 + 1)
OC. (25 - 1 (s+1)
OD. (25 + 1) (5 - 1)

Answers

The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.

Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)

We have to find second factor of given equation

First we will be rational root theorem to given expression so will get following expression:

[tex]\left(x+1\right)\frac{2x^3-3x^2-3x+2}{x+1}[/tex]

So one factor is (x-1) and now simplifying [tex]\frac{2x^3-3x^2-3x+2}{x+1}[/tex]  we get              2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)

Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

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

Answers

Answer:

-20

2(xy-7)=-20 with x=-1 y=3

Step-by-step explanation:

2(xy-7)=?

When variables are connected such as xy, this means to multiply.

x=-1

y=3

Multiply the x and the y together.

-1*3=-3. Plug that into the equation.

2(-3-7)=?

Subtract the inside the parenthesis.

2(-10)=?

Multiply. Remember when multiplying a positive and a negative the answer will always be a negative.

2(-10)=-20

This means that 2(xy-7)=-20 with the x=-1 and y=3.

Hope this helps!

If not, I am sorry.

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as choosing an odd number as the first digit, and event B is defined as choosing an odd number as the second digit.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?

A. 5/18
B. 4/9
C. 1/2
D. 5/9

Answers

The correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as choosing an odd number as the first digit, and event B is defined as choosing an odd number as the second digit.

The total sample will have 9 numbers

S = { 1,2,3,4,5,6,7,8,9} = 9

Even Number = { 2,4,6,8} = 4

Odd Number  = { 1,3,5,7,9} = 5

P ( A ) = ( 4 / 9 )

P ( B ) = ( 5 / 9 )

The probability will be calculated as:-

P( A:B ) = [tex]\dfrac{P(A)\times P(B)}{P(B)}[/tex]

P( A:B ) =[tex]\dfrac{( 5/9 ) ( 4/9 )}{5 / 9 }[/tex]

P( A:B ) = 4 / 9

Therefore the correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

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What is 108+259+301+405

Answers

Answer:

1073

Step-by-step explanation:

it's simple addition

108 plus 259 plus 301 plus 405 is 1073

Solve the equations for the given variable. Then place the equations in the table under the correct solution

Answers

Placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex]                          [tex]\frac{x}{3} =9[/tex]

[tex]\frac{x}{4} =\frac{6}{8}[/tex]                                    

x -5 = -2            

Solving Linear Equations

From the question, we are to place the equations under the correct solution

To do this, we will solve the equations one after the other

-14x = -42

x = -42/-14

x = 3

-5 + x = -9

x = -9 + 5

x = -4

x ≠ 3

[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex]

[tex]x = \frac{12}{5} +\frac{3}{5}[/tex]

[tex]x = \frac{12+3}{5}[/tex]

[tex]x = \frac{15}{5}[/tex]

x = 3

[tex]\frac{x}{4} =\frac{6}{8}[/tex]

[tex]x=\frac{6\times 4}{8}[/tex]

[tex]x=\frac{24}{8}[/tex]

x = 3

[tex]\frac{x}{3} =9[/tex]

x = 3 × 9

x = 27

x ≠ 3

x -5 = -2

x = -2 + 5

x = 3

Hence, placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

[tex]-\frac{3}{5} +x = \frac{12}{5}[/tex]                          [tex]\frac{x}{3} =9[/tex]

[tex]\frac{x}{4} =\frac{6}{8}[/tex]                                    

x -5 = -2            

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Compare the quantity in Column A with the quantity in Column B.
Column A Column B
slope of y = 3 slope of x = 3

The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined on the basis of the information supplied.

Keep in mind that one is talking about the slope of y and one is about the slope of x. One has no slope and one has an undefined slope. So is it D? Does anyone know the answer to this question?

Answers

Compare the quantity in Column A with the quantity in Column B.

Column A Column B, The two quantities are equal.

What is the slope?

Generally, the surface that has one end or side that is higher than the other (or vice versa); is a surface that slopes up or down.

In conclusion, Compare the number in Column A with the number in Column B.

The two amounts are identical in Columns A and B.

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whats 10 + 4? i need to know if you answer you get 25 points

Answers

the answer is 14, 0+4 is 4 and then you put the 1 infront of the 4 making 14
The answer would be 14.

Select the correct answer.

A petri dish contains cells of a certain strain of bacteria. Each bacterial cell in the dish divides in half approximately every 6 minutes. The curve of best fit that models the number of bacterial cells in the dish is given by the equation f(x) = 4.2 • 1.1x, where x represents the number of minutes and y represents the number of cells. Which value most likely represents the initial number of bacterial cells in the petri dish?

A.
10 cells
B.
5 cells
C.
2 cells
D.
1 cell

Answers

Answer:

the answer to that is B. 5 cells

in january of 2013, mr edwards turned 64 years old. in what year was mr edwards born.

Answers

Answer:

xhdvuvzxvzvkkzv jzh jhj,

Step-by-step explanation:

we can subtract his age from the year 2013.
we get 2013-64 which equals 1949.
Therefore, Edward was born in 1949


The question is:
Jason has 20 gallons of a 12% alcohol solution. How many gallons, to the nearest tenth, must be replaced by a 36% alcohol solution to give 20% gallons of 15% alcohol solution.

I need and explanation on how to set it up and do it. I have a test today and I don’t understand it.

Answers

Answer:

2.5 gallons of the 20% solution must be replaced by the 36% solution.

Step-by-step explanation:

[tex].12(20 - x) + .36x = 20(.15)[/tex]

[tex]2.4 - .12x + .36x = 3[/tex]

[tex]2.4 - .24x = 3[/tex]

[tex] - .24x = - .6[/tex]

[tex].24x = .6[/tex]

[tex]x = 2.5[/tex]

Which statements describe a triangular prism? Select three options. It has one base. It has two bases. It has three lateral faces. It has four lateral faces. Its lateral faces are rectangular.

Answers

The statements that describe a triangular prism are:

It has one base. It has three lateral faces. Its lateral faces are rectangular.

What is a triangular prism?

A triangular prism is a three-dimensional object that is made up of one base that has the shape of a triangle and three lateral sides that have the shape of a rectangle. A triangular prism has 5 faces, 9 edges and 6 vertices.

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The equation -x = y + 7 written in slope-intercept form is

Answers

Answer:

y= -x-7

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = y intercept

The first thing you must do is isolate y so that it is by itself on the left side of the equation:

-x = y + 7

Subtract 7 to both sides:

-x - 7 = y + 7 - 7

-x - 7 = y

Flip:

y = -x - 7

-x = y + 7 in slope intercept form is y = -x - 7

This means the slope is -1 and the y-intercept of the equation is (0, -7)

Which Expression is Equivalent to (f+g)(4)?

A) F(4) + G(4)
B) F(X) + G(4)
C) F(4 + G(4))
D) 4(F(X) + G(X))

Answers

Step-by-step explanation:

[tex] = (f + g)(4)[/tex]

[tex] = f(4) + g(4)[/tex]

The answer is A.

At which value(s) of x does the graph of the function F(x) have a vertical
asymptote? Check all that apply.
F(x) =X/(x-4)(x+2)

Answers

Answer:

x = 4  &  x = -2

Step-by-step explanation:

For rational functions (functions which themselves are a fraction, with polynomial pieces in the numerator and polynomial pieces in the denominator), these functions have "discontinuities" anywhere the denominator is equal to zero.  Usually, those discontinuities are "vertical asymptotes".  Occasionally, those discontinuities are "holes".

A discontinuity is a "hole," only if both the numerator AND the denominator are zero for that same value of x.  If that value of x doesn't make the numerator zero (it only makes the denominator zero), the discontinuity is just a vertical asymptote.

Finding the discontinuities:

To find the discontinuities, we'll be making an entirely separate equation.  It's not the function, it's not using algebra to change both sides of the equation/function we started with ... it's pretty much just like scratch work to figure out something that you can use later (although, your teacher may want to see your work on how you found them).

The equation we need for this is the denominator of our rational function set equal to zero:

[tex](x-4)(x+2)=0[/tex]

Note, this equation doesn't have a denominator.  It's not the original function.  It's like scratch work.  This equation is designed as if we want the denominator of our function to be zero, and to find the values of x that will make us divide by zero in the original function.

There are many ways to solve this equation.  The easiest is remembering the zero product property.  The Zero Product property states that if the product of two things is equal to zero, then at least one of the original things had to be zero:  [tex]\text{If }a*b=0,\text{ then }a=0\text{ or }b=0 \text{ (or both)}[/tex]

Noting that our equation is a product of two things, and is equal to zero, the zero product property allows us to separate our equation into two equations:

[tex]x-4=0, \text{ or } x+2=0[/tex]

Solving each equation by isolating x, by adding or subtracting the relevant number from both sides of the equations:

[tex]x=4, \text{ or } x=-2[/tex]

So these values of x will make the denominator of the original function zero.  These are both discontinuities of the function, so while when we were solving for values of x that would make the denominator zero, it was appropriate to say "or", we know that both of these values are discontinuities and now we list them both saying "and":

Discontinuities: [tex]x=4 \text{ and } x=-2[/tex]

But wait!  Are they holes, or are they just vertical asymptotes?  Do we have one of each?

Testing to see if the discontinuities are asymptotes:

To test and see if the discontinuities we've found are holes, we need to substitute them into the numerator of the original function, and see the result.... but just the numerator (we already know they will make the denominator zero, and we can't divide by zero)

Since the numerator is just x, we're checking to see if 4=0, or if -2=0.  They don't.  So, for this function, both of the discontinuities are vertical asymptotes.

Listing the asymptotes

Vertical asymptotes at [tex]x=4 \text{ and } x=-2[/tex]

What is the square root of 48 simplified?

Answers

The square root of 48 simplified is 4 sqrt 3.
4 and then a square root 3

The way you get this is to factor 48 into 16 x 3 . You can take the sq root of 16 = 4 and bring the 4 to the outside of the sq root sign. The 3 remains under the sq root sign.

Have a nice day’

The absolute value of -183 is _______.

Answers

Answer:

183

Step-by-step explanation:

The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.

Answer: 183 ✅

Step-by-step explanation:

Hii, do you need to know the absolute value of "-183"? No problem! (:

What is Absolute Value? | Definition

The absolute value of a number is that number's distance from zero.

That's why absolute value is always positive, because negative distances don't exist.

That's why the absolute value of a number is always positive.

|x|=x

| | denotes absolute value

|-x|=-x

[tex]\large\boldsymbol{\therefore,\;the\;absolute\;value\;of\;-183\;is\;183}}[/tex]

Voila! There's our answer, cheers! (:

____________________

Hope that this helped! Best wishes.      

[tex]\it Reach \ far. \ Aim \ high. \ Dream \ big.[/tex]           ____________________

[tex]\bigstar\underbrace[/tex]

Could someone help me on this?

Answers

The snswer is B lol get smarter
Jshshshshshshjajsjsjsjsjsjsjsjsjsjshsjdj

Can anyone explain how to do mathematical induction. The question is below. Brainliest awarded for the right answer. Thanks.

Answers

The sum of the triangular numbers is [tex]\frac{n(n+1)(n+2)}{6}[/tex]

According to the question, the series of triangular numbers is given as in the form of the number of dots constituting the equilateral triangles i.e.
1, 3, 6, 10, 15 . . . . .n

what is triangular numbers?

triangular number are the sequence and series of the numbers and each number represents and constitute in visualization of  series of  equilateral triangle.

given series in the figure
1, 3, 6, 10, 15, . . . . . .  ., n
each number represents the number of dots containing in triangle
now the series can be given by
[tex]S = \frac{n(n+1)}{2}[/tex]  for n = 1, 2, 3, 4,. . . . .n
now , according to the question the sum of the series can be given as
⇒  ∑S
⇒   ∑[tex]\frac{n^2+n}{2}[/tex]
⇒  [tex]\frac{1}{2}[\sum n^2+\sum n]\\\frac{1}{2}[\frac{n(n+1)(2n+1)}{6}+\frac{n(n+1)}{2}] \\\frac{n(n+1)}{4}[\frac{(2n+1)}{3}+1] \\\frac{n(n+1)}{4}[\frac{(2n+1+3)}{3}] \\\frac{n(n+1)}{4}[\frac{(2n+4)}{3}] \\\frac{n(n+1)}{4}2[\frac{(n+2)}{3}]\\\frac{n(n+1)(n+2)}{6}[/tex]

Thus, the sum of the triangular number is given by [tex]\frac{n(n+1)(n+2)}{6}[/tex]

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factoring 8x^2-12x-8

Answers

Answer:

( 8x - 4 ) ( x - 2 )

Step-by-step explanation:

8x² - 12x - 8

8x² - 16x + 4x - 8

8x ( x - 2 ) - 4 ( x - 2 )

( 8x - 4 ) ( x - 2 )

Answer:

⇒ [tex]4(x-2)(2x+1)[/tex]

Step-by-step explanation:

1) Common factor

⇒ [tex]8x^2-12x-8\\[/tex]

⇒ [tex]4(2x^2-3x-2)[/tex]

2) Use the sum-product pattern

⇒ [tex]4(2x^2-3x-2)[/tex]

⇒ [tex]4(2x^2+x-4x-2)[/tex]

3) Common factor from the two pairs

⇒ [tex]4(2x^2+x-4x-2)[/tex]

⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]

4) Rewrite in factored form

⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]

⇒ [tex]4(x-2)(2x+1)[/tex]

The dot plots below show the ages of students belonging to two groups of painting classes:

A dot plot shows two divisions labeled Group A and Group B. The horizontal axis is labeled as Age of Painting Students in years. Group A shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. Group B shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29.

Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Answers

Answer:

The group that is most likely able to have a lower mean age of painting students is Group A

Step-by-step explanation:

mean = sum of all terms divided by total number of terms

Looking at the graph data you have provided you can see that group A's students are a younger than students in Group B.

Which means when you calculate the mean the group which would give you the lower ratio with the same denominator of K (let there is K number of students in the class) will have lower mean age

here group A students are younger therefore their ratio will be lower

hence lower mean age

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angle A and angle B are a linear pair. If measure of angle A = 4x-10 and measure of angle B = 3x+43, find the measure of angle A and measure of angle B

Answers

Answer:

See below ~

Step-by-step explanation:

Linear pairs add up to 180 degrees.

⇒ 4x - 10 + 3x + 43 = 180

⇒ 7x + 33 = 180

⇒ 7x = 147

⇒ x = 21

∠A = 4(21) - 10

∠A = 84 - 10

∠A = 74°

∠B = 3(21) + 43

∠B = 63 + 43

∠B = 106°

what is b when the slope is 7/6 and the points are (10, -9)

Answers

Answer:

y = 7/6x - 62/3

Step-by-step explanation:

The equation for slope:

y = mx + b

m is the slope and b is the y-intercept

y = 7/6x + b

-9 = 7/6(10) + b

-9 = 35/3 + b

-62/3 = b

2.) The quotient of 3 and y

Answers

Answer:

3 ÷ y

Step-by-step explanation:

Quotient refers to the division of two values, in this case 3 and y.

Answer:

3/y

Step-by-step explanation:

PLEASE I NEED THE ANSWER QUICKLY
1. A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many full-page advertisements does Kathryn purchase?
Show your work.
(c) How many half-page advertisements does Kathryn purchase?
Show your work.

Answers

Answer:

x = 12 half page advertisements

y = 8 full page advertisements

Step-by-step explanation:

42x + 86y = 1192

x + y = 20

y = 20 - x

Input (20-x) as y into the first equation

42x + 86(20-x)=1192

42x + 1720 - 86x = 1192

(42x - 86x) 1720 -1720= 1192-1720

-44x = -528

x = 12

12 + y = 20

y=8

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

What is system of equation?

" System of equation is defined as the finite set of equations for which we find a common solution."

According to the question,

Cost of half page advertisement = $42

Cost of full page advertisement = $86

Number of advertisement Kathryn could purchase = 20

Total budget of Kathryn to purchase advertisement = $1192

'x' represents half page advertisement

'y' represents full page advertisement

As per the situation given system of equation we have,

42x + 86y = 1192                                 ______(1)

x + y = 20                        

x = 20 - y                                             _____(2)

Substitute the value of 'x' from  system of equation (2) in (1) we get,

[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]

Substitute the value of y in (2) to get 'x' ,

[tex]x=20-8[/tex]

  = 12

Hence,

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

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