Answer:
43cm
Step-by-step explanation:
Given
Length of Log = 291cm
First Piece = 67cm
Second Piece = 181cm
Required
Determine the length of the third piece
Given that the log was cut into three;
this implies that;
Length of Log = First Piece + Second Piece + Third Piece
Substitute values for first piece, second piece and length of log;
[tex]291 = 67 + 181 + Third\ Piece[/tex]
[tex]291 = 248 + Third\ Piece[/tex]
Subtract both sides by 248
[tex]291 - 248 = 248 - 248 + Third\ Piece[/tex]
[tex]43 = Third\ Piece[/tex]
[tex]Third\ Piece = 43[/tex]
Hence, the length of the third piece is 43cm
Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answer:
[tex]A.\ \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]
Step-by-step explanation:
Given
Let the two triangles be A and B
Sides of A: 4, 6 and 8.5
Sides of B: 6, 9 and 12.5
Required
Which set of ratio determines the dilation
To determine the dilation of a triangle over another;
We simply divide the side of a triangle by a similar side on the other triangle;
From the given parameters,
A ------------------B
4 is similar to 6
6 is similar to 9
8.5 is similar to 12.5
Ratio of dilation is as follows;
[tex]Dilation = \frac{4}{6}[/tex]
[tex]Dilation = \frac{6}{9}[/tex]
[tex]Dilation = \frac{8.5}{12.5}[/tex]
Combining the above ratios;
[tex]Dilation = \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]
From the list of given options, the correct option is A,
Answer:
a
Step-by-step explanation:
A wheel rolling at a constant speed has a radius of 15 inches and takes 30
seconds to roll 100 feet along the ground. What is its angular velocity? Use
3.14 for (pie) , and solve to two decimal places
Answer:
152.87 degree/seconds
Step-by-step explanation:
1 rotation = Circumference of a circle = 2πr
r = 15 inches
1 rotation = 2 × 3.14 × 15
94.2 inches.
We are told in the question that it takes 30 seconds to roll 100 feet along the ground
Convert feet to inches
1 feet = 12 inches
100 feet =
100 × 12 = 1200 inches.
Hence, if
94.2 inches = 1 rotation
1200 inches = X
Cross multiply
94.2 × X = 1200 × 1
94.2X = 1200
X = 1200/94.2
X = 12.738853503 rotations
Formula for Angular velocity = Number of rotations × 2π/time in seconds
Time = 30 seconds
12.738853503 × 2 × 3.14/30
= 2.6666666667 rotations per second
Converting Angular velocity to degree per second
= 2.6666666667 × 180/ π
= 2.6666666667 × 180/3.14
= 152.86624204 degree/seconds
Approximately to 2 decimal places
= 152.87 degree/seconds
solve the equation by using substitution method X + 2 Y equal to 8 equation first 2 x minus 2 equal to 10 equation second
Answer:
(6, 1)
Step-by-step explanation:
x + 2y = 8
1. subtract 2y to get x alone -- x = -2y + 8
2. insert (-2y + 8) as x
2x - 2 = 10
2(-2y + 8) -2 = 10
3. distribute the 2
-4y + 16 - 2 = 10
4. combine like terms
-4y + 14 = 10
5. subtract 14 from both sides
-4y = -4
6. divide by -4
y = 1
7. plug y into any of the two original equations
x + 2(1) = 8
8. simplify
x + 2 = 8
x = 6
9. check answer with second equation
2(6) - 2 = 10
12 - 2 = 10
A group conducted a poll of 2022
likely voters just prior to an election. The results of the survey indicated that candidate A would receive 49
%
of the popular vote and candidate B would receive 46
%
of the popular vote. The margin of error was reported to be 5
%.
The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means.
Answer:
Step-by-step explanation:
number of likely voters = 2022
candidate A = 49%
candidate B = 46%
margin of error = 5%
using the concept of a confidence interval to explain
from the result of the poll conducted candidate A scored 49% of the votes while Candidate B scored 46% therefore the difference between the two voters is 3%.
also the margin of error is 5% which is higher than the 3% difference between the candidates. this margin error means that the 5% can vote for either candidate A or candidate B .which makes the results TOO CLOSE TO CALL
11/10= x+2/5 Please Explain
Answer:
x=7/10
Step-by-step explanation:
2/5=4/10
11/10=x+4/10
11/10-4/10=x
7/10=x
Answer:
x=7/10 or 0.7
Step-by-step explanation:
I turned the fractions into decimals
so
1.1=x+0.4
subtract 0.4 from 1.1 to get 0.7
Turn it into a fraction which is 7/10
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day. Which statements are true based on the model?
Answer:
Options (1), (2) and (5)
Step-by-step explanation:
Outcomes from the quadratic function given in the graph,
1). Negative y-intercept of the graph represents the loss to the store when x = 0 Or the loss when no clerk is working.
2). Peak of the parabola represents a point (vertex) with x-coordinate as number of clerks working = 4 and y-coordinate as maximum profit earned by the store = $400,000
3). x-intercept of the graph shows the number of clerks working at store when profit earned by the store is zero.
Graph reveals that the store is in loss when number of clerks is zero and 8.
Summarizing these outcomes from the graph,
Options (1), (2), (5) are the correct options.
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.
Which statements are true based on the model?
On your own sheet of paper, make a stem-and-leaf plot of the following set of data and then find the range of the data.
Answer:
Step-by-step explanation:
The given set of data is 83, 71, 62, 86, 90, 95, 61, 60, 87, 72, 95, 74, 82, 54, 99, 62, 78, 76, 84, 92.
Now the stem - leaf plot will be,
5 4
6 0 1 2 2
7 1 2 4 6 8
8 2 3 4 6 7
9 0 2 5 5 9
Since range of the data = Highest term of the data - Lowest term of the data
= 99 - 54
= 45
Therefore, range of the data set is 45.
The range of the data is 45.
The calculation is as follows:As we know that
Since range of the data = Highest term of the data - Lowest term of the data
= 99 - 54
= 45
Learn more: https://brainly.com/question/10046743?referrer=searchResults
The sketch shows a triangle and its
exterior angles. Find the measure of
angle IAC.
Show all your calculations. Justify your
answer.
MDHA = 128"
MZHCA = 46°
Answer:
∠ IAC = 98°
Step-by-step explanation:
The sum of the exterior angle = 360°
∠ HCB = 180° - 46° = 134° ( adjacent angles )
Thus
∠ IAC + 128° + 134° = 360°, that is
∠ IAC + 262° = 360° ( subtract 262° from both sides )
∠ IAC = 98°
Answer:
<IAC=°98
Step-by-step explanation:
<DHA + CHA = 180 SUPPLEMENTARY ANGLE
128 +CHA=180
<CHA=52
<CHA + <HAC+<ACH=180 b/c it is triangle
46 +52+HAC= 180
<HAC= 180-98
<HAC= 82
<HAC + <IAC= 180. Supplementary angle
82+<IAC=180
<IAC=180-82
<IAC=98
Please answer the following questions
Step-by-step explanation:
sorry I can only explain as there are no labels to each diagram
The first diagram is single and can solved using triangular formular given as 1/2 ×base × height
A = 1/2 × 5 × 12
A = 30cm^2..
as for the second one...it consist of 2 diagrams which will be solved separately before adding ...it can simply be done using Pythagoras theorem..
To get the smaller part ...out tita is 45degrees while our adjacent is 4 and opposite is x we are to find x which is the height...
using SOH CAH TOA...
WE HAVE TAN45= opp/adj
Tan45= x/ 4
Tan 45 =1 ...so
1 = x/ 4
and x= 4 ...
so...having our height as 4 and base as 4 ..
Area of smaller triangle become 1/2 × 4 × 4
A = 8cm^2 ...
......SOLVING FOR THE SECOND DIAGRAM ..
WE HAVE the height as ( dotted spot + undotted spot ) = 4 + 4 = 8cm
and our base can be gotten from
Tan45 = opp / adj
1 = 8/x ..
x = 8cm ....so the base is 8 and the height is 8
..
The Area becomes 1/2 × 8×8 = 32cm ...
Total area becomes 32cm + 8cm = 40cm^2
Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kilograms ({kg}, but Renna and her load of identical packages mass a total of 620kg. Each package has a mass 37.4kg Write an inequality to determine the number of packages, Renna could remove from the elevator to meet the mass requirement.
Answer:
5 ≤ The number of packages Renna can remove
Step-by-step explanation:
The allowable mass on the elevator is given as 450 kg
The mass of Renna and the packages = 620 kg
The mass of each package = 37.4 kg
The mass Renna should remove from the elevator to meet the mass requirement = 620 - 450 = 170 kg
Therefore, the number of packages, n, Renna should remove can be found from the following inequality
170 ≤ n × 37.4
We note that since the mass of the packages are known, 5 packages weigh 187 kg which is > 170 kg
Therefore, the number of packages to be removed is 170 ≤ n × 37.4 < 187
Dividing by 37.4, we get;
Number of packages to be removed = 4.55 ≤ n < 5 ≈ 5 packages
Given that there whole number packages, we have;
5 ≤ n, which is , 5 ≤ The number of packages Renna can remove.
Answer:
37.4p ≥ 170
Step-by-step explanation:
5 are in total packages.
Trust me this is the answer because I did this before
Hope this helps ;)
The function, f(x) = –2x2 + x + 5, is in standard form. The quadratic equation is 0 = –2x2 + x + 5, where a = –2, b = 1, and c = 5. The discriminate b2 – 4ac is 41. Now, complete step 5 to solve for the zeros of the quadratic function. 5. Solve using the quadratic formula. x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction What are the zeros of the function f(x) = x + 5 – 2x2? x = StartFraction negative 1 plus or minus StartRoot 41 EndRoot Over negative 4 EndFraction x = StartFraction 1 plus or minus StartRoot 41 EndRoot Over negative 4 EndFraction x = StartFraction negative 1 plus or minus StartRoot 39 EndRoot Over negative 4 EndFraction x = StartFraction 1 plus or minus StartRoot 39 EndRoot Over negative 4 EndFraction
Answer:
To solve for the zeros of the function equate f(x) = 0
That's
- 2x² + x + 5 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
a = - 2 b = 1 c = 5
And from the question
b² - 4ac = 41
So we have
[tex]x = \frac{ - 1± \sqrt{41} }{2( - 2)} = \frac{ - 1± \sqrt{41} }{ - 4} [/tex]
[tex]x = \frac{1± \sqrt{41} }{4} [/tex]
We have the final answer as
[tex]x = \frac{1 + \sqrt{41} }{4} \: \: \: \: or \: \: \: \: x = \frac{1 - \sqrt{41} }{4} [/tex]
Hope this helps you
Answer:
The CORRECT answer is A.
Step-by-step explanation:
just did it.
If f(x) = 3x + 2, what is f(5)?
Answer:
17
Step-by-step explanation:
f(5) = (5*3)+2
f(5) = 17
The number 35 has the property that when its digits are both increased by 2, and
then multiplied, the result is 5 x 7 = 35, equal to the original number.
Find the sum of all two-digit numbers such that when you increase both digits by 2,
and then multiply these numbers, the product is equal to the original number.
Answer: The sum is 127
Step-by-step explanation:
A 2-digit number N = ab can be written as (where a and b are single-digit numbers)
a*10 + b.
Now, we want that:
(a + 2)*(b + 2) = a*10 + b.
So we must find all the solutions to that equation such that a can not be zero (if a = 0, then the number is not a 2-digit number)
We have:
(a + 2)*(b + 2) = a*b + 2*a + 2*b + 4 = a*10 + b
a*b + 2*b - b + 4 = a*10 - a*2
a*b + 4 + b = a*8
a*b + 4 + b - a*8 = 0.
Now we can give one of the variables different values, and see if the equation has solutions:
>a = 1:
1*b + 4 + b - 8 = 0
2*b - 4 = 0
b = 4/2 = 2
Then the number 12 has the property.
> if a = 2:
2*b + 4 + b -16 = 0
3b -12 = 0
b = 12/3 = 4
The number 24 has the property.
>a = 3 is already known, here the solution is 35.
>a = 4.
4*b + 4 + b - 8*4 = 0
5*b + 4 - 32 = 0
5*b = 28
b = 28/5
this is not an integer, so here we do not have a solution.
>if a = 5.
5*b + 4 + b - 8*5 = 0
6b + 4 - 40 = 0
6b - 36 = 0
b = 36/6 = 6
So the number 56 also has the property.
>if a = 6
6*b + 4 + b - 8*6 = 0
7b + 4 - 48 = 0
7b - 44 = 0
b = 44/7 this is not an integer, so here we do not have any solution.
>if a = 7
7*b + 4 + b -8*7 = 0
8b -52 = 0
b = 52/8 = 6.5 this is not an integer, so we here do not have a solution.
>if a = 8
8*b + 4 + b -8*8 = 0
9*b + 4 - 64 = 0
9*b = 60
b = 60/9 this is not an integer, so we here do not have any solution:
>if a = 9
9*b + 4 + b - 8*9 = 0
10b + 4 - 72 = 0
10b -68 = 0
b = 68/10 again, this is not an integer.
So the numbers with the property are:
12, 24, 35 and 56
And the sum is:
12 + 24 + 35 + 56 = 127
What value is the independent variable and the dependent variable represents to ?
Answer:
Step-by-step explanation:
Independent Variable
The independent variable is the condition that you change in an experiment. It is the variable you control. It is called independent because its value does not depend on and is not affected by the state of any other variable in the experiment. Sometimes you may hear this variable called the "controlled variable" because it is the one that is changed. Do not confuse it with a "control variable," which is a variable that is purposely held constant so that it can't affect the outcome of the experiment.
Dependent Variable
The dependent variable is the condition that you measure in an experiment. You are assessing how it responds to a change in the independent variable, so you can think of it as depending on the independent variable. Sometimes the dependent variable is called the "responding variable."
A cylinder shaped storage tank has a radius of (x+5) metres and a height of x metres. Determine the dimensions (round to two decimal places) of the tank if the volume is about 192 cubic metres.
Answer:
Radius = 6.46 meters
Height = 1.46 meters
Step-by-step explanation:
The volume of a cylinder = πr²h
In the above question, we were given
r = (x + 5) meters
h = x meters
Volume = 192 cubic meters
Hence,
192 = π × (x + 5)² × x
192 = π × (x² + 10x + 25) × x
192 = π × (x³ + 10x² + 25x)
Divide both sides by π
192/π = x³ + 10x² + 25x
61.115498147 = x³ + 10x² + 25x
x³ + 10x² + 25x - 61.12
This Quadratic equation is a polynomial
x = 1.46119
From the above:
Radius = (x + 5)meters
Radius = 1.46119 + 5 = 6.46119 meters
Approximately to 2 decimal places = 6.46 meters
Height = x meters
Height = 1.46119 meters
Approximately to 2 decimal places = 1.46 meters
Solve the following: (1 point) x + 3y = 9 3x − 3y = −13
Answer:
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(
−
1
,
10
3
)
Equation Form:
x
=
−
1
,
y
=
10
3
Tap to view steps...
image of graph
Tap to hide graph...
If f(x)=3x-1 and g(x)= x+2 find (f-g)(x)
Answer:
[tex]\boxed{2x-3}[/tex]
Step-by-step explanation:
[tex]f(x)=3x-1\\ g(x)= x+2[/tex]
[tex](f-g)(x)\\f(x)-g(x)[/tex]
[tex](3x-1)-(x+2)\\ 3x-1-x-2\\2x-3[/tex]
How do u do this please help WILL GIVE BRAINLIEST
Answer: x = 9[tex]\sqrt{2\\}[/tex], y =18
Step-by-step explanation:
cuz
Solve for x in the diagram below.
Answer:
25 degrees
Step-by-step explanation:
The two given angles are vertical, so we can set their measures equal to each other and then solve for x.
4x + 50 = 150
4x = 100
x = 25
Answer:
x = 25
Step-by-step explanation:
The angles are vertical angles, so their measures are equal.
4x + 50 = 150
4x = 100
x = 25
Algebra 2 help needed
Answer:
D
Step-by-step explanation:
From the graph, the y-intercept of f(x) is 2 and since the y-intercept is when x = 0, it would fall into the x ≤ 1 category so the y-intercept of g(x) is 0 - 4 = -4. Since 2 > -4, the answer is D.
Compare the functions shown below: f(x) x y −3 −27 −2 −8 −1 −1 0 0 1 1 2 8 3 27 4 64 g(x) linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4? f(x), g(x), h(x) g(x), f(x), h(x) h(x), g(x), f(x) g(x), h(x), f(x)
Hey There!!
To get the average rate of change, we simply have to use this formula:
ARC = (y2 -y1) / (x2 - x1)
For the first function:
ARC = (64 - 0) / (4 - 0) = 16
For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5
For the third function:
h(0) = 18
h(4) = 66
ARC = (66 - 18) / (4 - 0) = 12 Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
f(x)
Hope This Helps!!
By ☆Itsbrazts☆
Answer:
slope of f(x) is 16 slope of g(x) is -1/2 and tho slope of h(x) 12.5
Step-by-step explanation:
plssssssss helppp 3x – 5 = 1
Answer:
x = 2
Step-by-step explanation:
Add 5 to both sides to get the 5 to the right side since we are trying to isolate the variable x:
3x – 5 + 5 = 1 + 5
Simplify: 3x=6
Divide each side by 3 to isolate and solve for x:
3x/3=6/3
Simplify: x=2
Where is the function decreasing?
Answer:
the function is decreasing at the domain values: (-∞,1)
Step-by-step explanation:
the function is decreasing in the domain values from -∞ until 1, the lowest point with no increase or decrease:
which in interval notation can be written as: (-∞,1)
I hope this helps, but if I didn't answer the question or answered wrongly I will try again.
Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.
Answer:
[tex]x \leq -7[/tex]
The graph has a closed circle.
–7 is part of the solution.
Step-by-step explanation:
Given
[tex]15 \geq 22 + x[/tex]
Required
Select 3 options from the given list of options
[tex]15 \geq 22 + x[/tex]
Subtract 22 from both sides
[tex]15 - 22 \geq 22 - 22+ x[/tex]
[tex]-7 \geq x[/tex]
Swap positions of the expression; Note that the inequality sign will change
[tex]x \leq -7[/tex]
This means x less-than-or-equal-to negative 7
There are two options left to select;
The inequality sign in [tex]x \leq -7[/tex] implies that the graph has a close circle.
Inequality signs such as [tex]\leq[/tex] and [tex]\geq[/tex] signifies a close circle
There is only one option left to select;
Lastly;
Split the expression [tex]x \leq -7[/tex] into two
We have:
[tex]x < -7[/tex] or [tex]x = -7[/tex]
Because [tex]x = 7[/tex],
Then, -7 is also a part of the solution
Answer:
B) x less-than-or-equal-to negative 7
C) The graph has a closed circle.
E) –7 is part of the solution.
Step-by-step explanation:
Im not 100% sure but i am 95% sure they r
Three metal cubes with edges 6 cm, 8 cm and 12 cm respectively are melted down and made into a single cube. Find the length of one edge of the resulting cube.
Answer: 13.5
Step-by-step explanation:
Find the total volume of the melted cubes:
V₁ = 6³ V₂ = 8³ V₃ = 12³
= 216 = 512 = 1728
So the new cube will have a volume of 216 + 512 + 1728 = 2456
Volume of the cube = side³
2456 = s³
[tex]\sqrt[3]{2456} = s[/tex]
13.5 = s
A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multiplying the previous term by $\frac{m}{7}$. If the first term of the sequence is positive, how many possible integer values are there for $m$?
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
[tex]Ratio = \frac{m}{7}[/tex]
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be [tex]x * \frac{m}{7}[/tex]
The next will be; [tex]x * (\frac{m}{7})^2[/tex]
The nth term will be [tex]x * (\frac{m}{7})^{n-1}[/tex]
For each of the successive terms to be less than the previous term;
then [tex]\frac{m}{7}[/tex] must be a proper fraction;
This implies that:
[tex]0 < m < 7[/tex]
Where 7 is the denominator
The sets of [tex]0 < m < 7[/tex] is [tex]\{1,2,3,4,5,6\}[/tex] and their are 6 items in this set
Hence, there are 6 possible integer
To reach a window, you need a ladder to go up 16 feet on the side of your house. You
set the bottom of the ladder 4 feet from your house. Which choice is closest to the
shortest ladder you can use to reach the window?
possible solutions:
1. 20 feet 2. 4.5 feet
3. 272 feet 4. 16.5 feet
Answer:
4. 16.5
Step-by-step explanation:
You solve for the hypotenuse
a^2+b^2=c^2
16^2+4^2=c^2
256+16= the square root of 272
16.5
Please answer this in two minutes
Answer:
∠ G ≈ 38.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos G = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GH}{GI}[/tex] = [tex]\frac{7}{9}[/tex] , thus
∠ G = [tex]cos^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 38.9° ( to the nearest tenth )
Which expressions are equivalent to -56z+28 A 1/2*(-28z+14) B (-1.4z+0.7)\* 40 C (14-7z)*(-4) D (8z-4)*(-7) E-2(-28z-14)
Answer:
D (8z-4)*(-7)
Step-by-step explanation:
Given:
-56z+28
D (8z-4)*(-7)
-56z+28
Therefore, option D is the equivalent expression
Finding the equivalent expression by solving each option and eliminating the wrong option
A 1/2*(-28z+14)
=-28z+14/2
=-14z+7
B (-1.4z+0.7) /* 40
Two signs ( division and multiplication)
Using multiplication,we have
-56z+28
Using division, we have
0.035z + 0.0175
C (14-7z)*(-4)
-56+28z
D (8z-4)*(-7)
-56z+28
E -2(-28z-14)
56z+28
Answer:
B and D
trust me
Select the correct answer.
What is the solution for x in the equation?
25
-- + = 22
-
O A.
T =
-
1+
OB.
=
+10 +
OC.
+
OD.
=
Answer:
x = 4/3
Step-by-step explanation:
move (combine) your X's on one side
combine like terms
divide and multiply
Answer:
[tex]x = \frac{4}{3} [/tex]Option B is the correct option.
Step-by-step explanation:
[tex] - x + \frac{3}{7} = 2x - \frac{25}{7} [/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex] - x - 2x = - \frac{25}{7} - \frac{3}{7} [/tex]
Collect like terms
[tex] - 3x = - \frac{25}{7} - \frac{3}{7} [/tex]
Calculate the difference
[tex] - 3x = - 4[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 4}{ - 3} [/tex]
Calculate
[tex]x = \frac{4}{3} [/tex]
Hope this helps..
Best regards!