can you solve the question but tell me how to do it I'm trying to study but don't know how to solve it?

Can You Solve The Question But Tell Me How To Do It I'm Trying To Study But Don't Know How To Solve It?

Answers

Answer 1

Answer:

8x+19=9x+9

Step-by-step explanation:

Simplifying

(8x + 19) = (9x + 9)

Reorder the terms:

(19 + 8x) = (9x + 9)

Remove parenthesis around (19 + 8x)

19 + 8x = (9x + 9)

Reorder the terms:

19 + 8x = (9 + 9x)

Remove parenthesis around (9 + 9x)

19 + 8x = 9 + 9x

Solving

19 + 8x = 9 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

19 + 8x + -9x = 9 + 9x + -9x

Combine like terms: 8x + -9x = -1x

19 + -1x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0

19 + -1x = 9 + 0

19 + -1x = 9

Add '-19' to each side of the equation.

19 + -19 + -1x = 9 + -19

Combine like terms: 19 + -19 = 0

0 + -1x = 9 + -19

-1x = 9 + -19

Combine like terms: 9 + -19 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10

Answer 2

Answer:

x = 10

Step-by-step explanation:

they are opposite angles, therefore congruentwe solve with an equation

8x + 19 = 9x +9

19 - 9 = 9x - 8x

10 = 1x

x = 10

check

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

8 * 10 + 19 = 9 * 10 + 9

80 + 19 = 90 + 9

99 = 99

the answer is good


Related Questions

A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.

What is the probability of randomly selecting a tree or a flower?
Express the Probability as a reduced fraction

Answers

Using it's concept, it is found that the probability of randomly selecting a tree or a flower is given by:

[tex]p = \frac{8}{15}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 30 cards, 8 + 8 = 16 are trees or flowers, hence the probability is given by:

[tex]p = \frac{16}{30} = \frac{8}{15}[/tex]

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what is the slope-intercept form of the equation of the line with the following points? (-3,5), (6,3)

Answers

Answer:

Y=-0.22X+6.33

Step-by-step explanation:

Y-yo=m(X-x0)

punto A=(-3,5)

punto B=(6,3)

ecuacion de la recta: Y-yo=m(X-x0)

m=Pendiente=[tex]\frac{5-3}{(-3-6)} =\frac{2}{-9}[/tex]

sea B(6,3)  xo=6  y yo=3

reemplazando:

Y-6=[tex]\frac{-2}{9}[/tex](X-3)

Y-6=-0.22X+0.33

Y=-0.22X+6.33

Identify the domain of the function shown in the graph.

Answers

Based on the function shown on the graph, we can find the domain to be C. x ≥ 0.

What is the function's domain?

The domain refers to where all the values of x and y for the function fall within the graph.

As seen from the graph, there is no negative value of x and the lowest value of x is 0.

The domain for x is therefore:

x ≥ 0.

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If = 152°, what is m∠ABC? 152° 38° 76° 104°

Answers

The value of ABC when AC is given as 152 will be 76°.

How to calculate the angle?

It should be noted that the angles that are opposite to equal sides are equal and that the angle sum property of triangle is 180°.

In this case, (2 × ABC) = 152°

2ABC = 152°

ABC = 152°/2

ABC = 76°

In conclusion, the correct option is C.

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Which graph does not represent a function of x?

Answers

Graph J is NOT a function of X.

The ideal weight (in stones) of people of varying heights is given in the table below. Draw a scatter plot for the data. Height (feet/inches) 5 ft 0” 5 ft 1” 5 ft 2” 5 ft 3” 5 ft 4” 5 ft 5” Weight (stones) 9.1 9.5 9.8 10 10.4 10.8 a. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.1), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8). c. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.2), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.3), (5 foot 5 inches, 10.8). b. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.5), (5 foot 1 inch, 9.8), (5 foot 2 inches, 10), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8). d. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9), (5 foot 1 inch, 9.5), (5 foot 1 inch, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8). Please select the best answer from the choices provided

Answers

The scatter plot for the data will be A. A graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.1), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8).

What is a scatter plot?

A scatter plot is a set of points plotted on horizontal and vertical axes that show the extent of correlation between the variables.

In this case, the scatter plot for the data will be a graph has height on the x-axis, and weight on the y-axis, from 9 to 10.8 in increments of 0.2. Points are at (5, 9.1), (5 foot 1 inch, 9.5), (5 foot 2 inches, 9.8), (5 foot 3 inches, 10), (5 foot 4 inches, 10.4), (5 foot 5 inches, 10.8).

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HELP MEEEEEEEEEEEEEEEE

Answers

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]3x + 18 = 11x - 6 [/tex]

[tex]24 = 8x[/tex]

[tex]x = 3[/tex]

help me with my math please
(2 -1/2 * 7 1/3)^6

Answers

Answer:

21 316/729

Key rules to solve:

[tex]\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex][tex]\frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]Convert mixed numbers to improper fractions

Step-by-step explanation:

[tex]\left(\frac{2-1}{2\cdot \:7\frac{1}{3}}\right)^6[/tex]

[tex]=\left(\frac{2-1}{2\cdot \frac{22}{3}}\right)^6[/tex]

[tex]=\frac{\left(2-1\right)^6}{\left(2\cdot \frac{22}{3}\right)^6}[/tex]

[tex]=\frac{1}{\left(2\cdot \frac{22}{3}\right)^6}[/tex]

[tex]=\frac{1}{\frac{7256313856}{729}}[/tex]

[tex]\rightarrow 21 \frac{316}{729}[/tex]

Peter has 5 times as much Money as Bala.
They have $1674 in total.
How much more money has Peter than bala

Answers

Answer:

Bala = 279$

Peter = 1395$

Step-by-step explanation:

Peter has 5 times as much Money as Bala.

They have $1674 in total.

How much more money has Peter than bala

Bala has 1 unity

Peter has 5 unity

total unity = 6

Find 1 unity

1674 : 6 = 279

Bala = 279

Peter = 5 * 279 = 1395

A certain car model comes in four different colors (black, white, blue, and silver) and can either have automatic or manual transmission. The company that makes the car took a random sample of 384384384 cars that were sold and checked their color and transmission. Here are the results:

Answers

The expected count for the cell corresponding to the white car in the sampling will be 204.

How to calculate the value?

From the information given, the certain car model comes in four different colors, and can either have automatic or manual transmission.

The expected count for the cell corresponding to the white car will be:

= 96 × 204/384

= 51

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how many whole numbers are less than n?

Answers

What is n? If you tell me I’ll be glad to answer your question, but right now if doesn’t make any sense.

Twice the price of a book is $12 less than the price of 4 books. find the price of three books.

Answers

Answer:

$18

Step-by-step explanation:

One book=$6

Two books=$12

6(price of one book)x4(four books)=24

So then it says find it for three books

So then you do $6x3 books which is $18 :)

Se dispone de un recipiente de 24 litros de capacidad y de tres medidas, A, B y C.
Se sabe que el volumen de A es el doble del de B, que las tres medidas llenan el
depósito y que las dos primeras lo llenan hasta la mitad. ¿Qué capacidad tiene cada
medida?

(Necesito saber el sistema de ecuaciones)

Answers

Teniendo en cuenta la definición de sistema de ecuaciones lineales, cada medida tiene una capacidad de A= 8 L, B= 4 L y C= 12 L.

Qué es un sistema de ecuaciones

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

Capacidad de cada medida

En este caso, se dispone de un recipiente de 24 litros de capacidad y de tres medidas, A, B y C.

Se sabe que el volumen de A es el doble del de B → A=2B

Las tres medidas llenan el depósito → A+ B +C= 24 L

Las dos primeras medidas llenan hasta la mitad del recipiente → A +B= 24 L÷2 → A +B= 12 L

Entonces, el sistema de ecuaciones a resolver es el formado por las tres ecuaciones anteriormente mencionadas.

Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución, que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.

En este caso, reemplazando la primer ecuación en la tercera ecuación se obtiene:

2B +B= 12 L

3B= 12 L

B= 12 L÷3

B= 4 L

Reemplazando este valor en la primer ecuación se obtiene:

A=2B

A=2×4 L

A= 8 L

Finalmente, para obtener el valor de C se reemplaza el valor de A y B en la segunda ecuación:

A + B + C= 24 L

8 L + 4 L + C= 24 L

12 L + C= 24 L

C= 24 L - 12 L

C= 12 L

Finalmente, cada medida tiene una capacidad de A= 8 L, B= 4 L y C= 12 L.

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A helicopter flies 125 miles west and 20 miles north and lands.

The helicopter flies back on a direct course.

What is its bearing?

Answers

The answer is 6.25 is it dividing

brian runs 7 kilometers each day.write an equation that models the total kilometers,k,brian runs over,d, days

Answers

Answer:

k = 7d

Step-by-step explanation:

y = mx + b

slope (m): 7 kilometers each day

x: Brian runs over d days

y - intercept (b): when x = 0, y = 0 since it will be day 0

y:  total kilometers, k

Answer:

k = 7d

Step-by-step explanation:

The standard form of an equation is :

y = mx + b

Here, the variables for y and x are k and d respectively.

===============================================================

It is given that Brian runs 7 kilometers each day. Hence, that is our rate of change, m. The value of b will be 0 as he starts from 0 km.

============================================================

So, the equation is :

k = 7d

14. The two-way table shows whether the 576
students at Jim's school rode the bus or in a car to
school. Of the 6th graders, find the relative frequency
of those who rode in a car to the nearest percent.

Answers

Using it's concept, it is found that the relative frequency of 6th graders who rode a car is given by:

D. 55%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The number of 6th graders is given by:

N6 = 576 - (219 + 189) = 168.

The number of 6th graders who rode a car is:

N6C = 168 - 75 = 93

Hence the relative frequency is given by:

r = 93/168 = 55%.

Hence option D is correct.

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A bottle contains 20 blue bags and 15 red bags. If two bags are picked at random one after the other with replacement, what is the probability that the first bag is blue and then red?

Answers

Answer:

12÷49

Step-by-step explanation:

The total number of bags in the bottle = 20 + 15 = 35

Then

the probability that the first bag is blue = 20/35

If we replace the first bag :

the probability that the second (picked) bag is blue = 15/35

Conclusion:

If two bags are picked at random one after the other with replacement

Then

the probability that the first bag is blue and then red is :

(20÷35)×(15÷35)

= (4÷7)×(3÷7)

= 12÷49

= 0.244897959184

QUICKLY!!
Which of the following formulas is used to calculate the probability of mutually exclusive events

Answers

Answer:

P(AUB)=P(A)+P(B)

Step-by-step explanation:

I found it somewhereI don't know?Trust me:)

How does the diagram show that the slope between any
two points on a line is the same?
OA)
It does not show this because the triangles are not
the same size.
OB)
The triangles have the same vertical heights and
horizontal lengths.
OC)
The distance between A and B is the same as the
distance between B and C.
OD)
The triangles are similar so the ratios of their vertical
heights to their horizontal lengths are equivalent.

Answers

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

What is the slope of a graph?

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

[tex]\mathbf{slope = \dfrac{rise}{run}}[/tex]

[tex]\mathbf{slope = \dfrac{\Delta y}{\Delta x}}[/tex]

[tex]\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}[/tex]

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

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Can someone help me with this problem?

Answers

The length of the rope Kurt started with is 13 1/3 inches

Calculating lengths

From the question, we are to determine the total length of the rope

From the given information,

The first piece was 4 4/5 inches long

and

The second piece was 8 1/2 inches long

Then,

The length of the rope Kurt started with will be

4 4/5 + 8 1/2

[tex]4\frac{4}{5} + 8\frac{1}{2}[/tex]

First, convert the fractions into improper fractions

[tex]\frac{24}{5} + \frac{17}{2}[/tex]

The Lowest common multiple (LCM) of the denominators is 10.

Then, we get

[tex]\frac{(2\times 24) + (5 \times 17)}{10}[/tex]

= [tex]\frac{48 + 85}{10}[/tex]

= [tex]\frac{133}{10}[/tex]

= [tex]13 \frac{1}{3}[/tex]

Hence, the length of the rope Kurt started with is 13 1/3 inches.

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Which is the area between the x-axis and y=x^2 from x=2 to x=6

Answers

For this problem, we need to use our integral knowledge to set up the problem:

The bounds will be from 2 to 6, cutting tiny horizontal bars into the graph, to approximate the area

Now for the function inside the integral:

 ⇒ it is the top function minus the bottom function

top function: y= x²bottom function: x-axis ⇒ y =0

       ⇒ function within integral = x² - 0

Let's put it all together and solve:

   [tex]Area=\int\limits^6_2 {x^2-0} \, dx =\int\limits^6_2 {x^2} \, dx=\frac{6^3}{3} -\frac{2^3}{3} \\Area=\frac{6^3-2^3}{3} =\frac{216-8}{3} =\frac{208}{3}[/tex]

Answer: 208/3 ≈ 69.333

Hope that helps!

AB is tangent to circle O at B. The diagram is not drawn to scale. If AB =15 in and AO =20, what is the length of the radius (r)? Round the answer to the nearest tenth.

Answers

The  length of the radius (r) to the nearest tenth is 13.2

What is Pythagoras theorem?

The theorem states that the square of the longest side is equal to the sum of the square of other two sides.

In order to determine the radius of the circle, we will use the theorem above to have:

AO² = AB² +r²

Given

AB = 15

AO = 20

Substitute

20² = 15² +r²

r² = 400 - 225

r² = 175

r = 13.2

Hence the  length of the radius (r) to the nearest tenth is 13.2

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Answer fast pls i need help

Answers

Answer:

12X3/-a=`12

Step-by-step explanation:

12x3=36
36xa/+=12

Which point is graphed at (2, 1)?



Point B


Point C


Point A


Point

Answers

Answer:

Point A

Step-by-step explanation:

Please Mark me as brainliest

Answer: point A

Step-by-step explanation:

You move two to the right and up one because the two is the x-coordinate so on the x-axis you start from (0,0) and move to the right since it’s positive. If it was negative it would be to the left. Same as when dealing with y. The y coordinate is one so you move up on the y-axis(always start from the origin which is (0,0)). If it was negative you move down. Rise/run in this case 1/2.

75 points! pls help me! find the lateral area, total surface area, and volume?

Answers

Answer:

8

Step-by-step explanation:

8 is the answers I think

Answer:

To find the lateral area, total surface area, and volume of a geometric shape, I need to know the specific shape you are referring to. Could you please provide more details about the shape you are interested in? For example, is it a cube, cylinder, sphere, or some other shape? Once I have this information, I can provide you with the calculations for the lateral area, total surface area, and volume of that particular shape.

Need help don't understand

Answers

Answer:

she should get ready by 11:10

Step-by-step explanation:

Add All the time up 75(1 hour 15min=60+75)+40+25+30=170minutes

170minutes/60= 2 hour 50minutes

subtract 2 hour 50minutes from 2:00

= 11:10

Just give me answer

Answers

im giving answer right?.. i think

By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).

How to find the image of a triangle

A dilation is a type of rigid transformation. Rigid transformations are transformations applied to geometric loci such that Euclidean distances are conserved.

There is a triangle and its image must be a triangle, the new triangle is found by transforming the three vertices of the prior one following this formula:

A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)]     (1)

Where:

P(x, y) - Center of reflection.A(x, y) - Original vertexA'(x, y) - New vertexk - Dilation factor

If we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:

Point A

A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]

A'(x, y) = (-12, 0)

Point B

B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]

B'(x, y) = (0, -9)

Point C

C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]

C'(x, y) = (-12, -9)

Lastly, we draw the two triangles, which are presented in the image attached below.

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HELP ASAP!!

I need this answer quickly it’s due in 15 minutes!

TY!!

Answers

Answer:

mean for data set 1 is 41

data set 1 MAD is 16.4

data set 2 MAD is 16.8

mean for data set 2 is 38

Step-by-step explanation:

Finding the mean:

Data set 1:

formula: sum of the data set / total number of terms

sum of the data set: 18 + 29 + 35 + 58 + 65 = 205

total number of terms: there is 5 numbers in the data set

mean = 205 / 5

mean = 41

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

18, 29, 35, 58, 65

Distance between 18 and 41 is 23               (41 - 18 = 23)

Distance between 29 and 41 is 12               (41 - 29 = 12)

Distance between 35 and 41 is 6               (41 - 35 = 6)

Distance between 58 and 41 is -17             (41 - 58 = -17)

Distance between 65 and 41 is -24           (41 - 65 = -24)

step 3: take the absolute value of any negative numbers

|-17| and |-24| is 17 and 24

step 4: add all the distances

23 + 12 + 6 + 17 + 24 = 82

step 5: divided it by the number of data

82 / 5 = 16.4

Data set 2:

formula: sum of the data set / total number of terms

sum of the data set: 19 + 26 + 27 + 45 + 73 = 190

total number of terms: there is 5 numbers in the data set

mean = 190 / 5

mean = 38

MAD (Mean Absolute Value):

step 1: Find the mean of the data (above)

step 2: Find the distance between each data and mean.

19, 26, 27, 45, 73

Distance between 19 and 38 is 19                (38 - 19 = 19)

Distance between 26 and 38 is 12              (38 - 26 = 12)

Distance between 27 and 38 is 11               (38 - 27 = 11)

Distance between 45 and 38 is -7             (38 - 45 = -7)

Distance between 73 and 38 is -35           (38 - 73 = -35)

step 3: take the absolute value of any negative numbers

|-7| and |-35| is 7 and 35

step 4: add all the distances

19 + 11 + 12 + 7 + 35 = 84

step 5: divided it by the number of data

84 / 5 = 16.8

Let me know if you have any questions !

find the height of a a cuboid if it's length is 10m , breadth is 5m and LSA is 180m² .

NONSENSE = REPORT ​

Answers

[tex]\huge\sf\underline{Answer}[/tex]

Let's find out ~

Given :-

Length ( l ) = 10m Breadth ( b ) = 5m LSA = 180m²

Solution :-

[tex]\sf\rightarrow \:LSA \: of \: cuboid \: = 2h \: ( \: l + b \: )[/tex]

[tex]\sf\rightarrow \: 180 = 2h \: (10 + 5)[/tex]

[tex]\sf\rightarrow180 = 2h \: \times 15[/tex]

[tex]\sf\rightarrow 180 = 30h \: [/tex]

[tex]\sf\rightarrow \: 30h \: = 180[/tex]

[tex]\sf\rightarrow \: h = \frac{180}{30} [/tex]

[tex]\sf\rightarrow \: 6[/tex]

Thus , the height of cuboid is 6m

Please I need help I'm in grade 5 and I don't understand this so make me understand in a easy way.
9. If A = x - y + z, B = 2x - 3y +4z and C = 4x - 5y - 6z, find
(I) A + B + C
(II) A - B + C
(III) A + B - C​

Answers

Answers:

A+B+C = 7x - 9y - zA-B+C = 3x - 3y - 9zA+B-C = -x + y + 11z

======================================================

Explanation:

Skip to the "Work Shown" section below to see the steps for each part.

Each variable is a place holder for some unknown number. We can think of it like a box that holds a number. Luckily the letter x is found in the word "box" to help cement this line of thinking.

1x = 1 box

2x = 2 boxes

3x = 3 boxes

and so on

This shorthand notation allows us to quickly add boxes

2 boxes + 3 boxes = 5 boxes

So 2x+3x = 5x

And we can subtract boxes as well

7 boxes - 3 boxes = 7x - 3x = 4x = 4 boxes

The same number must go in box x for this to work out.

When it comes to dealing with negative numbers, it might help to use a vertical number line. I like to think of it like going up and down an elevator on a skyscraper. Negative integers represent basement levels.

It's possible to have boxes within boxes. The box A has the three boxes x-y+z inside it. So wherever we see an "A", replace it with x-y+z. Unfortunately we don't know what numbers go in the boxes for x, -y and z. Use the same type of thinking for B and C.

Don't forget to use the distributive property to distribute the negative through to each term.

Example: (x+y)-(w+z) = x+y-w-z

Many students make the mistake in saying that (x+y)-(w+z) = x+y-w+z which is not true. The +z should be -z at the very end.

Let me know if you have any other questions.

The next section below shows the steps needed to get the three answers.

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

Work Shown:

Part (I)

A+B+C = (x-y+z)+(2x-3y+4z)+(4x-5y-6z)

A+B+C = (x+2x+4x)+(-y-3y-5y)+(z+4z-6z)

A+B+C = 7x - 9y - z

Part (II)

A-B+C = (x-y+z)-(2x-3y+4z)+(4x-5y-6z)

A-B+C = x-y+z-2x+3y-4z+4x-5y-6z

A-B+C = (x-2x+4x)+(-y+3y-5y)+(z-4z-6z)

A-B+C = 3x - 3y - 9z

Part (III)

A+B-C =  (x-y+z)+(2x-3y+4z)-(4x-5y-6z)

A+B-C =  x-y+z+2x-3y+4z-4x+5y+6z

A+B-C = (x+2x-4x)+(-y-3y+5y)+(z+4z+6z)

A+B-C = -x + y + 11z

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