Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Group of answer choices
Distribute 2 to (x + 6) and 3 to (x – 4).
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
Combine like terms, 3 and 5, on the right side of the equation.
Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.
Answers
Answer:
x = 19
Step-by-step explanation:
I think you are on the right track. Below is the way I would approach it:
1. Expland the brackets
2. Collect like terms
3. Make x the subject
Let me know if you want the working out. Hope this helps.
Related Questions
What is the value of 4.3X 10^5
Answers
Answer: 430000
Step-by-step explanation: you have to do pemdas
Answer: 430,000. /four hundred thirty thousand
Step-by-step explanation:
The value of 4.3 x 10^5 is 430,000.
To understand this, the notation 4.3 x 10^5 represents a number in scientific notation, where 4.3 is the coefficient or significand, and 10^5 is the exponent. The exponent of 10 tells us how many places to move the decimal point to the right. In this case, the exponent 5 means we need to move the decimal point five places to the right.
Starting with 4.3, we move the decimal point five places to the right to get 430,000. So, 4.3 x 10^5 is equivalent to 430,000.
The following figure was drawn using a straightedge and a compass. Where was the point of the compass located in order to make the arcs?
1. points X and Y
2. point D
3. point C
4. points A and B
The slopes of the sides of quadrilateral ABCD are shown in the table below. Which statement describes the relationships between the sides of the quadrilateral?
1. AD¯¯¯¯¯¯¯¯ is not parallel to BC¯¯¯¯¯¯¯¯, and AB¯¯¯¯¯¯¯¯ is not parallel to CD¯¯¯¯¯¯¯¯.
2. AB¯¯¯¯¯¯¯¯ is parallel to CD¯¯¯¯¯¯¯¯, but AD¯¯¯¯¯¯¯¯ is not parallel to BC¯¯¯¯¯¯¯¯.
3. AB¯¯¯¯¯¯¯¯ is parallel to CD¯¯¯¯¯¯¯¯, and AD¯¯¯¯¯¯¯¯ is parallel to BC¯¯¯¯¯¯¯¯
4. AD¯¯¯¯¯¯¯¯ is parallel to BC¯¯¯¯¯¯¯¯, but AB¯¯¯¯¯¯¯¯ is not parallel to CD¯¯¯¯¯¯¯¯
Answers
Statement which describes the relationships between the sides of the quadrilateral ABCD is AD is not parallel to BC, and AB is not parallel to CD.
What is a quadrilateral?A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). An anagram of "angle," "gon" is sometimes referred to as a quadrangle or 4-angle.ABCD is sometimes used to indicate a quadrilateral with the vertices A, B,C, and D.There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed). Convex or concave quadrilaterals are simple quadrilaterals.A simple (and planar) quadrilateral ABCD's internal angles sum up to 360 degrees of arc.That is, ∠A+∠B+∠C+∠D=360°Hence, statement which describes the relationships between the sides of the quadrilateral ABCD is AD is not parallel to BC, and AB is not parallel to CD.
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Statement which describes the relationships between the sides of the quadrilateral ABCD is AD is not parallel to BC, and AB is not parallel to CD.
What is a quadrilateral?A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices).The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon).An anagram of "angle," "gon" is sometimes referred to as a quadrangle or 4-angle.ABCD is sometimes used to indicate a quadrilateral with the vertices A, B,C, and D.There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed).Convex or concave quadrilaterals are simple quadrilaterals.A simple (and planar) quadrilateral ABCD's internal angles sum up to 360 degrees of arc.That is, ∠A+∠B+∠C+∠D=360°
Hence, statement which describes the relationships between the sides of the quadrilateral ABCD is AD is not parallel to BC, and AB is not parallel to CD.
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What integers are plotted on the number line below?
<++++++++++++
-15 -10
-20
O-3 and 3
-8 and 8
-8 and -12
O-8 and -2
Mark this and return
++++
-5
10
Save and Exit
Next
Submit
Answers
The integers on the number line are –8 and –2.
What are integers?In Mathematics, integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers.
So, the integer -8 is going to the left of the number line which is getting smaller and -2 is going to the right of the number line which is getting larger.
Hence, the integers on the number line are –8 and –2.
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The number line and the complete question is attached below.
Determine the stability condition(s) for k and a such that the following feedback system is stable where G(s) = s + 1/s(s + a)^2.
Answers
The stability condition for the feedback system is that the parameter a must be greater than 0 (a > 0). The value of k does not affect the stability condition in this case.
What is stability?
Stability refers to the property of a system or process to remain bounded and not exhibit unbounded or excessive growth or oscillations over time.
To determine the stability condition(s) for k and a in the feedback system with the transfer function \(G(s) = (s + 1) / [s(s + a)^2]\), we can analyze the poles of the system.
The stability of a system is determined by the location of its poles in the complex plane. For stability, all the poles of the transfer function G(s) must have negative real parts or lie on the left-hand side of the complex plane.
The transfer function G(s) can be written as:
\(G(s) = (s + 1) / [s(s + a)^2]\)
The denominator of G(s) has three poles: s = 0, s = -a, and s = -a (repeated).
Pole at s = 0:
The pole at s = 0 does not depend on the parameters k and a. It is always a simple pole with a real part of 0. Therefore, it does not affect the stability condition.
Pole at s = -a:
The pole at s = -a is repeated twice. To ensure stability, the real part of this pole must be negative. Therefore, the stability condition for this pole is -a < 0, which implies that a > 0.
Pole at s = -a (repeated):
The pole at s = -a is repeated twice. Similar to the previous case, to ensure stability, the real part of this pole must be negative. Therefore, the stability condition for this pole is also -a < 0, which implies that a > 0.
In summary, the stability condition for the feedback system is that the parameter a must be greater than 0 (a > 0). The value of k does not affect the stability condition in this case.
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Which of the following are equivalent to -5? Check all that apply. *
5 points
55 / 11
-55 / - 11
- (55/11)
- 55 / 11
55 / - 11
Answers
Answer:
Step-by-step explanation:
-55/11
55/-11
Help Please ! =(
Find the measures of the interior angles of the triangle.
Answers
So, 86-35 which is 51.
A= 86 and C=51
solve the equation by factoring. check your solution. if there are multiple solutions, list the solutions from least to greatest separated by a comma. 27 x 2^5
Answers
The Solutions of the equation 27x² + 5 = 48x are x = 1/9 , x = 5/3 . .
In the question ,
it is given that ,
the equation is 27x² + 5 = 48x ,
we have to find the solution for it ,
27x² + 5 = 48x
rewriting it , we get ,
27x² - 48x + 5 = 0
27x² - 45x + 5 = 0
27x² - 3x - 45x + 5 = 0
Simplifying further , we get ,
3x(9x - 1) -5(9x - 1) = 0
taking (9x-1) common from both the terms ,
(9x - 1)(3x - 5) = 0
So , either (9x - 1) = 0 or (3x - 5) = 0
x = 1/9 or x = 5/3
Therefore , the solution of the given equation are x = 1/9 , x = 5/3 .
The given question is incomplete , the complete question is
Solve the equation by factoring. check your solution. if there are multiple solutions, list the solutions from least to greatest separated by a comma.
27x² + 5 = 48x .
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a water wave travels a distance of 10.0 meters in 5.0 seconds. what can be determined from this information?
Answers
The speed of the water wave is 2.0 meters per second.
The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.
To determine the speed, we use the formula:
Speed = Distance / Time
Substituting the given values, we have:
Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second
Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.
This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.
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You created a new playlist, 100 of your freinds listen to it and shared if they liked the new playlist or not. Rachel said the ratio of the number of the people who liked the playlist to the number of people who did not like the playlist is 75:25. Dylan said that for every three people who liked the playlist, one person did not. Do Rachel and Dylan argree? Prove your answer using the values of the ratio.
Answers
Answer:
- Yes, They agree
Step-by-step explanation:
Do Rachel and Dylan argree?
- Yes, They agree
Prove your answer using the values of the ratio.
100 of your friends listen to it
- Total Number = 100
Rachel said the ratio of the number of the people who liked the playlist to the number of people who did not like the playlist is 75:25.
The ratio can be simplifies further by diving all through by 25;
75/25 : 25/25
3 : 1
Dylan said that for every three people who liked the playlist, one person did not.
This simplifies to 3 : 1.
Same thing with what rachel said, so they both agree
statistics is a rigorous branch of mathematics that deals with group of answer choices data mining visualization understanding data linear regression all of the above
Answers
Statistics is a rigorous field that provides a set of tools and techniques for understanding and making decisions based on data. Correct option is C.
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used in a wide range of fields, from business and finance to social sciences, engineering, and healthcare.
One of the key goals of statistics is to summarize and make sense of complex data, and this is often done through the use of visualization techniques such as histograms, scatterplots, and box plots.
Statistics also involves techniques such as data mining, which involves the use of algorithms and computational methods to analyze large data sets, and linear regression, which is a technique for modeling the relationship between two variables.
In addition to its practical applications, statistics is also important for understanding the world around us. It can be used to test hypotheses, evaluate the reliability of data, and make predictions about future events. Overall, statistics plays a vital role in modern society by helping us make sense of the vast amounts of data that we encounter every day.
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Complete question is:
Statistics is a rigorous branch of mathematics that deals with
group of answer choices
A. data mining
B. visualization
C. understanding data
D. linear regression
E. all of the above
What is a marginal frequency? select all that apply.
a frequency that divides the value of the cell by the total number of items
a frequency that divides a row total by the grand total
a frequency that divides a column total by the grand total
a frequency that is a cell entry divided by the row total
a frequency that is a cell entry divided by the column total
Answers
The marginal frequency refers to the frequencies obtained by dividing a row or column total by the grand total.
The concept of marginal frequency is often used in the context of contingency tables, which display the distribution of two categorical variables.
Marginal frequencies are calculated by dividing a row or column total by the grand total. This allows us to examine the distribution of one variable independently of the other variable.
The frequencies obtained in this manner represent the proportion or percentage of cases within a specific row or column relative to the overall total. Therefore, the options "a frequency that divides a row total by the grand total" and "a frequency that divides a column total by the grand total" correctly describe the concept of marginal frequency.
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Is the relation below a function?
x
-2 -1
0
1
2
у
4
1
0
1
4
No, it is not a fonction
Yes, it is a function
Answers
Answer:
not a function
Step-by-step explanation:
the ratios of y/x are not equal
URGENT PLEASE HELP I DONT UNDERSTAND
You receive bids for making T-shirts for your class fundraiser from four companies. To
present the pricing information, one company uses a table, one company uses a written
description, one company uses an equation, and one company uses a graph. How will
you compare the different representations and make the final choice?
The design is ready, and your job is to select the best option for ordering the shirts. The
proposals from the four companies are listed below. Another slight problem is that the
class officers have not decided how many T-shirts you should order.
Part 1:
Compare your options and explain which company you would select for orders from
20 to 200 T-shirts. Explain your reasoning clearly by using the correct terminology.
Answers
Answer:
Step-by-step explanation:
2\
What is the probability of rolling an even number on a number cube and flipping a tails on a coin?
Answers
Answer:
25% or 1 in 4 chance.
Step-by-step explanation:
The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.
3/6 can be re-written as 1/2.
The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.
So then, multiply 1/2 by 1/2 to get 1/4.
Help I need to submit this ASAP
Answers
Answer: th
Step-by-step explanation:
right angled triangle calc: find b, a=5, c=13
Answers
Use the diagram below to find the measure of each angle (4 questions)
Angle EAB *
Angle CAF *
Angle BAD *
Answers
90 degrees
60 degrees
Two complementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?
(Imagine Math)
Answers
Answer:
2d=90
d=45
Explanation: Complementary angles add up to 90 degrees. If the two angles are congruent, it means that both angles have the same measurements.
(-10)+3=10-3 true or false
Answers
Answer:
False
Step-by-step explanation:
10-3 =7
-10 + 3 = - 7
That is why this is correct
Answer:
false
Step-by-step explanation:
(-10)+3=10-3
-7 = 7
= -7≠ 7
Divide:
82,164:41
A. 2,004
B. 2,400
C. 20,004
D. 20,040
Answers
82164 / 41 = 2004
Explanation/ use calculator
с
7 km
24 km
What is the length of the hypotenuse?
h
kilometers
C =
Submit
Answers
Answer: 25
Step-by-step explanation:
The hypothenuse will be gotten by using Pythagoras formula. This will be:
Hypotenuse² = Opposite² + Adjacent²
Hypotenuse²= 7² + 24²
Hypotenuse² = 49 + 576
Hypotenuse² = 625
Hypotenuse = ✓625
Hypotenuse = 25kilometer
I REALLY NEED YOUR HELP!
Samantha and Jillian were going for a walk. Jillian left 15 seconds ahead of Samantha. • Samantha walked at a speed of 7 feet per second. • Jillian walked at a speed of 6 feet per second. How many seconds had Jillian been walking when the two girls had walked the same distance?
Is the answer 105?
Answers
Answer:
105 seconds
Step-by-step explanation:
To solve this, we can set up an equation.
First, let's find how far ahead Jillian is.
15*6=90
Jillian is 90 feet ahead.
Let's name the time that Samantha walks x.
7x is the distance Samantha walks.
90+6x is the distance Jillian walks.
We want to find how many seconds they have walked when the distance is equal.
So let's form an equation.
7x=90+6x
Subtract 6x from both sides.
x=90
Samantha needs to walk 90 seconds.
Jillian started 15 seconds before that.
90+15=105
Jillian had been walking for 105 seconds when the two girls had walked the same distance.
What is the area of this triangle
Answers
Answer:
A = 18 in²
Step-by-step explanation:
The area of a triangle can be calculated using the formula A = (bh)/2
where b = base length and h = height
Fortunately for us, the variables are already defined and given to us in the problem
All we have to do is plug in the values of h and b into the formula for area of a triangle
A = (bh)/2
b = 3 and h = 12
A = ((12)(3))/2
multiply 12 and 3
A = 36/2
divide 36 by 2
A = 18 in²
What is 4(x−12)−3<5(x−1)+4 HURRRYYYY
Answers
Answer: x>−50
Step-by-step explanation:
Distribute
4x-48-3<5x-5+4
4x-51<5x-1
Subtract 5x from both sides
-1x-51<-1
Subtract 51 from both sides
-1x<50
Help me with a question?
Answers
Answer:
B
Step-by-step explanation:
You can eliminate A and D.
A is vertical, which means it has an undefined slope.
D is a positive slope. If you follow the line from left to right it goes up hill.
B has a slope of -2. Find to points on line B, (-3, 2) and (-2, 0). If you move from (-3, 2) to (-2, 0) using rise/run you will get a -2/1.
Difference between Simple Intrest and Compound Intrest
Answers
the slope of a street is 0.54. if it covers 28m of horizontal distance, what is the rise of the street?
Answers
Answer: i believe its 15.12
Step-by-step explanation:
please help <3 ill give brainliest
One movie club charges a $100 membership fee and $10 for each movie. Another charges no membership fee but movies are $15 each. Write and solve an equation to find the number of movies you need to buy for the cost of each movie club to be the same.
Answers
If you take a varible, lets say x, and times that by your mom. You will get y^2. After that, take ur mom and divide that by ur dads ding dong. Now they don't give us the formula to find out how long, creamy and wet your dad's ding dong is so we use the formula, busty step sis + step bro = BIG DING DONG, to get (x^69)+12 as ur dads ding dong. Now add ur mom with ur dad, y^2+(x^69) to get a child, 6969699696.
Hope this helps :)
The legs of a right triangle are 10 cm and 24 cm long what is the length of the hypotenuse
Answers
Answer:
26
Step-by-step explanation:
the formula for this is A squared plus B squared equals C squared
Answer:
26
Step-by-step explanation:
10(10)+(24)(24)
100+576
676
out of the square root
it is 26
Please help me find the area of the figure!!
Answers
Answer: 199 square yards
Step-by-step explanation:
If you break it down into 3 rectangles it’ll be easier to find the answer. Multiply it by H x W. First you do the 6 x 10. And then afterwards add the extra 5 to the 6 and it’ll make the
H = 11, and the W is 4. And then add the last 3 to H and it’ll make it 19 and the last W is 5
6 x 10 = 60
11 x 4 = 44
19 x 5 = 95
Total of 199
Hope this helps :)