Answer:
The price of a table is rs1720
Step-by-step explanation:
Let C and T be the individual prices of the tables and chairs.
We know that 3C + 4T = rs7540
We are then told that C = rs220, so we can enter that into the equation to find T:
3C + 4T = rs7540
3(220) + 4T = rs7540 [for C = rs220]
660 + 4T = 7540
4T = rs6880
T = rs1720
Check:
Do 3 chairs at 220 each and 4 tables at 1720 each add to a total of 7540?
Chairs: rs660
Tables: rs6880
Total = rs7540 YES
The radius $r$ of a circle inscribed within three mutually externally tangent circles of radii $a$, $b$ and $c$ is given by \[\frac{1}{r}
The formula yields the radius $r$ of a circle that is inscribed within three circles with radii $a$, $b$, and $c$ that are mutually external tangents.
[tex][\frac{1}{r} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c}][/tex]
The radius of the inscribed circle is related to the radii of the three mutually externally tangent circles using a method known as the radical centre formula. According to this equation, the reciprocals of the radii of the three externally tangent circles add up to the radius of the circle that is inscribed.
The power of point theorem states that the product of the distance between the point and the three points of tangency is equal to the product of the distance between the point and the centres of the circles. This formula is based on the fact that the circles are mutually externally tangent and their centres are collinear. It is crucial to note that the formula can only be used if the circles are mutually externally tangent; otherwise, it is invalid.
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How many pieces of 2/3 yard can I cut if I have 6 1/3 yards of material
Answer:
9
Step-by-step explanation:
6 1/3 yards of material is 19/3 yards total. 6 yards broken into thirds is 18/3. 18 divided by 2 is 9. There are 9 total pieces to cut, and an extra 1/3 left over
b.94 inches?
2. At a hardware store, a tool set normally costs $80. During a sale this week, the toc
set costs $12 less than usual. What percentage of the usual price is the savings?
Explain or show your reasoning.
Answer:
12%
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,\, 5,\, 6,\, ... 4,5,6,...
The given sequence is arithmetic because the difference between consecutive terms is constant. The common difference is 1, since the difference between each pair of consecutive terms is 1 (e.g., 5 - 4 = 6 - 5 = 1). The common difference can be expressed in simplest form as 1/1 = 1.
Answer:
it is arithmetic, 6-5=1, 5-4=1
A restaurant manager believes that a majority of customers who dine at his restaurant would rate the food as excellent. To investigate this belief, he sends an email survey to a random sample of 50 customers from the large list of customers who have signed up for his frequent diner club. To encourage the customers to complete the survey, he offers a $10 gift card upon completion of the survey. He receives 22 responses, of which 20 rated the food as excellent. He would like to know if these data provide convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent. Are the conditions for inference met
The conditions for inference are: The customers who are surveyed are chosen independently at random, so we can assume that the survey results are independent.
What do you mean by normalcy?The amount of grams or mole equivalents of solute present in a solution that contains one liter is what is referred to as normalcy according to the accepted definition. The amount of moles of reactive units in a compound is what we mean when we say it is equal.
Sample size: The manager is surveying 50 customers, which is a moderate-sized sample.Normality: Since the manager is only looking at the proportion of customers who rated the food as excellent, we can assume that the data are approximately normally distributed.Randomness: The manager is using a random sample from the list of customers who have signed up for his frequent diner club, so we can assume that the sample is random.The conditions for inference are met.
However, to conclude that more than 50% of customers who dine at his restaurant would rate the food as excellent, we need to conduct a statistical test such as a one-sample proportion test or a confidence interval. The manager would need to compare the proportion of the customers who rated the food as excellent from the survey with the proportion of customers who would rate the food as excellent. This would allow to see if the data provides convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent.
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Thirty percent of the balloons used to decorate a party are red and the rest are yellow. If one-quarter of the yellow balloons have strings and there are a total of 40 balloons, how many of the yellow balloons do not have strings
62.5 of the yellow balloons lack strings. The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the probability.
What is the probability formula?The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood. The formula is: Probability of an Event P(E) = (Number of Favorable Outcomes) (Sample space).
The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood.
A sample is created in this way, and using the data collected, the calculation can be done. The formula for calculating probabilities is probability = Favorable instances / Possible cases x 100, given as a percent.
25/40 * 100 = 0.625*100 = 62.5.
62.5 of the yellow balloons lack strings.
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Triangle DEF was dilated according to the rule DO,One-third(x,y)(one-third x, one-third y) to create similar triangle D'E'F'.
On a coordinate plane, (0, 0) is the center of dilation. Triangle F D E is dilated to create smaller triangle F prime D prime E prime. Triangle F D E has points (negative 9, 3), (negative 9, 9), (negative 6, 6). Triangle F prime D prime E prime has points (negative 3, 1), (negative 3, 3), and (negative 2, 2).
Which statements are true? Select three options.
∠F corresponds to ∠F'.
Segment EE' is parallel to segment FF'.
The distance from point D' to the origin is One-third the distance of point D to the origin.
The measure of ∠E' is One-third the measure of ∠E.
△DEF △D'E'F'
A. ∠F corresponds to ∠F' is True.
B. Segment EE' is parallel to segment FF' is False.
C. The distance from point D' to the origin is One-third the distance of point D to the origin is True.
D. The measure of ∠E' is One-third the measure of ∠E is False.
E. △DEF ~ △D'E'F' is True.
What is Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Given:
As triangle DEF was dilated according to the rule DO, One-third(x, y)(one-third x, one-third y) to create similar triangle D'E'F'.
and, The center of dilation = (0, 0)
Also, Triangle FDE has points: (- 9, 3), (- 9, 9), (- 6, 6).
Triangle F'D'E' has points : (- 3, 1), (- 3, 3), (- 2, 2)
A) ∠F corresponds to ∠F'. ( True)
B) Segment EE' is parallel to segment FF'. (False)
As they intersect each other at the origin.
C) The distance from point D' to the origin is One-third the distance of point D to the origin. ( True)
Now, the length of DE
D = √(-9-0)² + (-9-0)²
D = 9√2
and, length of D'E'
D = √(-3-0)² + (-3-0)²
D = 3√2
Thus, DE / D'E' = 3√2/ 9√2 = 1/3
D) The measure of ∠E' is One-third the measure of ∠E. ( False)
E) △DEF ~ △D'E'F'. ( True)
As they are similar triangles.
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Answer:
A. ∠F corresponds to ∠F'.
C. The distance from point D' to the origin is 1/3 the distance of point D to the origin.
E. △DEF ~△D'E'F'
Step-by-step explanation:
got it right on edge 23
Wanda has 5 different fish in a small, crowded tank. She decides to randomly scoop up individual fish and transfer them to a new tank until a total of 4 fish have been moved. How many sequences of 4 fish are possible?
Answer:
64 sequences of 4 fish are possible.
3x -y=-2y solve for y pls help me
Answer:
-x
Step-by-step explanation:
3x - y = -2y
add y to both sides
3x = -3y
divide both sides by -3
-x = y
According to a Harris poll, 5% of U.S. adults admitted to having spent money gambling online. If a U.S. adult is selected at random, what is the probability that he or she has never spent any money gambling online
If a U.S. adult is selected at random, the probability that he or she has never spent any money gambling online is 95.
What is gambling?Gambling, the betting or staking of something of value, with consciousness of risk and hope of gain, on the outcome of a game, a contest, or an uncertain event whose result may be determined by chance or accident or have an unexpected result by reason of the bettor’s miscalculation.
Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online.
We have to find the probability of a U.S. adult selected randomly that he or she has never spent any money gambling online.
We will assume the probability of the outcome which is known as P(E) and the probability of the outcome which we need to know as , P(E) since both are the complement of each other. Then we will substitute the value of P(E) in the formula compliment of P(E)= 1-P(E) so as to obtain compliment of P(E)
Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online, therefore
P(E) =5
P(E)= 5/100
=0.05
The probability of a U.S. adult selected randomly that he or she has never spent any money gambling online will be given as compliment of P(E) , such that
compliment of P(E)= 1-P(E)
=0.95
= 0.95/100
=95
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Peter owns a total of one hundred and forty four prized baseball cards. If he were to add 7 more American League players and three more national league players, his collection of American to national would be in a ratio of nine five. Find out how many cards of each league he has currently.
Answer:
24
Step-by-step explanation:
3. (a) How many 0.32kg portions of minced beef can be made from 15.36kg of beef? (b) If beef is sold at $25.16 per kilogram, what is the cost of six and a quarter 0.32kg portions?
Answer:
a) 48 portions
b) $157.25
Step-by-step explanation:
1) 15.36/.32 to get 48 portions
2) Since it's asking for 6.25 0.32kg portions, multiply 6.25 by $25.16 to get $157.25
hey i need help a sap
Answer:
1. f(x)=1-1/2
4. y=10x
5. yes
Step-by-step explanation:
1)
f(x) = 4(2 + 3x) + 3 is a linear function.
2)
The slope of the function is 6.
3)
The linear function is (1/2)x - 4.
4)
y = x² + 2 is not a linear function.
5)
No, it is not a linear function.
6)
Graph D does not represent a linear function.
7)
Graph B does not represent a linear function.
8)
Table D is a linear function.
9)
Table B is not a linear function.
10)
3x + 2y = 6 is a linear function.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
1)
f(x) = 4(2 + 3x) + 3
f(x) = (1/2)x² - 5
f(x)= 5 - x²
f(x) = 1 - 1/x
The graph of each function is given below.
The red line in the graph represents f(x) = 4(2 + 3x) + 3.
This is a straight line which means it is a linear function.
2)
f(x) = 2(3x - 7)
f(x) = 6x - 14
It is in the form of y = mx + c where m is the slope.
So,
m = 6
3)
f(x) = (1/2)x - 4
f(x) = x³ - 2
The graph is given below.
The red line represents f(x) = (1/2)x - 4.
This is a linear function.
4)
y = 3x + 12
y = x² + 2
y = 10x
y = 9
The graph is shown below.
The green curve is y = x² + 2.
This is not a linear function.
5)
y = 2x² - 6
This is not a linear function because we have x².
The graph is given below.
6)
Graph D represents a non-linear function.
7)
Graph B represents a non-linear function.
8)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table D has the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
= (4 - 7) / (-1 + 2)
= -3/1
= -3
Table D is a linear function.
9)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table B does not have the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
Table B is not a linear function.
10)
The green line on the graph represents a straight line.
The green line is a linear function.
The green line is 3x + 2y = 6.
Thus,
The answers are given above.
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Which equation is graphed here?
Responses
A 2x - y = 122x - y = 12
B x + y = 12x + y = 12
C 2y - x = 122y - x = 12
D 2x + y = 122x + y = 12
E x + 2y = 12x + 2y = 12
The equation of the line passing through (3, 6) and (6, 0) is 2x + y = 12
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
The line passes through (3, 6) and (6, 0). Hence:
y - 6 = [(0 - 6)/(6 - 3)](x - 3)
y - 6 = -2(x - 3)
y = -2x + 12
2x + y = 12
The equation of the line is 2x + y = 12
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find the output, g, when the input, r is 3
g= -5 + 13
The output of function g(r) = -5x + 13 when r is 3 is -2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
g(r) = -5r + 13
Input r = 3
g(3)
= -5 x 3 + 13
= -15 + 13
= - 2
Thus,
The output is -2.
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How do you find third side of triangle if two sides are given and angle is given?
The Third side of a triangle if the two sides are given and one angle is given can be found by using the Cosine Law .
What is Cosine Law ?
The Cosine Law states that the square of any one side of the triangle is equal to difference between sum of squares of the other two sides and double of product of other sides and cosine of the angle included between them.
In mathematical terms it means that ;
let a , b be the the know sides and "c" be the unknown side of the triangle ABC , and the known angle be = angle C ;
So , the side c will be ⇒ [tex]c^{2}= a^{2} +b^{2} - 2ab\times Cos(C)[/tex] ;
Therefore , the Cosine Law helps in finding the missing third side .
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A carpenter bought a piece of wood that was 0.42 meters long. Then she sawed 0.3 meters off the end. How long is the piece of wood now?
The length of piece of wood now will be;
⇒ 0.72 meters
What is Addition?
A process of combining or adding two or more numbers is called addition.
Given that;
A carpenter bought a piece of wood that was 0.42 meters long.
And, She sawed 0.3 meters off the end.
Here,
A carpenter bought a piece of wood that was 0.42 meters long.
And, She sawed 0.3 meters off the end.
Hence, The length of piece of wood now = 0.42 + 0.3 meter
= 0.72 meters
Thus, The length of piece of wood now = 0.72 meters
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Is (- 2 4 a solution to the system?
yes, (-2,4) is the solution of the system of equation 4x² - 4y = 0.
To check whether the given points are the solution of the given system of equation 4x² - 4y = 0. We have to put the values of x = -2 and y = 4 in the given equation. If we get the result equals zero then (-2, 4) is the solution of 4x² - 4y = 0 and if the result is a non-zero number then (-2, 4) is not the solution of 4x² - 4y = 0.
⇒4x² - 4y = 0
⇒4(-2)² - 4 × 4 = 0
⇒4 × 4 - 4 × 4 = 0
⇒0 = 0
Here we get the result equal to zero, hence (-2,4) is the solution of the system of equation 4x² - 4y = 0.
--This question is incomplete, the complete question is
''Is (-2,4) a solution of the system of equation 4x² - 4y = 0?''--
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Haan' hitory cla i taking a field trip to the tate capitol building. The capitol building i 50 mile from Haan' chool. The cla plan to top after 45 minute, or 0. 75 hour, to view a local monument. The bu driver plan to drive at an average peed of 40 mile per hour
The class has a 45-minute, or 0.75-hour, climb to the summit planned to observe a nearby monument. The bus driver intended to travel at a steady 40 mph. Accordingly, the average speed is 0.888.
How long does it take to drive 60 miles at 40 miles per hour?The time required to travel 20 miles at 40 mph is 30 minutes, and the time required to go 40 miles is 60 minutes. The journey of 60 miles will therefore take 90 minutes. In most cases, an hour's worth of time, this will tell you the average speed.
As a result, Ben's average speed was 50 miles per hour when he covered 150 miles in 3 hours. 40m in an hour. 12 hour to cover 20 miles. In fifteen minutes, ten miles. It is determined by dividing something's total travel distance by its total journey time. Take the earlier automobile, for instance. The average speed of the vehicle would be 70 / 2 = 35 miles per hour if it covered 70 miles in two hours.
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Complete question is: Hassan's history class is taking a field trip to the state capitol building. The capitol building is 50 miles from Hassan's school. The class plans to stop after 45 minutes, or 0.75 hours, to view a local monument. The bus driver plans to drive at an average speed of 40 miles per hour. Which equation can you use to find how many hours, x, the second part of the trip will take?
A Lamborghini driver left at 17:50h on an all night journey. The journey took him 14hrs. At what time he reach his destination?
Answer:
7:50 am in the morning
Step-by-step explanation:
17:50pm = 5:50pm
first simply this by only adding 12 hours
12 hours later- 5:50 am
Then add 2 hours to get the answer
14 hours- 7:50 am in the morning.
( I think)
...
How do you solve a linear equation step by step?
Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:
How to solve linear equationsIdentify the constant and the coefficient of the variable.Use the coefficient to divide both sides of the equation by the same number.Subtract the constant from both sides of the equation.Divide both sides of the equation by the coefficient of the variable.Check your solution by substituting it back into the original equation.Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.
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Quetion
Suppoe a plane flie 48 mile in 12 minute. The relationhip between mile flown, x, and minute flown, y, by the plane can repreented by the equation y = 14x. How far will the plane fly in 28 minute?
Repone
A 120 mile120 mile
B 116 mile116 mile
C 112 mile112 mile
D 124 mile
The plane will fly 392 miles in 28 minutes. Therefore, the answer is D) 124 miles.
What is the relationship between distance and time?
The important thing is that speed is always the ratio of the distance traveled to the time needed to travel that distance: distance/time.
To find out how far the plane will fly in 28 minutes, we need to substitute x = 28 into the equation y = 14x.
y = 14x represents the relationship between the distance flown (y) and time flown (x).
Substituting x = 28 into the equation:
y = 14 * 28 = 392
Hence, the plane will fly 392 miles in 28 minutes.
Therefore, the answer is D) 124 miles.
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Is 2x3 is a polynomial?
In 2x^3, 3 is the greatest degree of the exponent. 2x^3 is a cubic polynomial as a result.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An example of a polynomial of a single indeterminate x is x² − 4x + 7.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.
For instance, the polynomial 3x+2x-5.
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
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A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $18. Option B is a commission rate of 4% on weekly sales. How much does he need to sell this week to earn the same amount with the two options?
Let S be the amount of money the salesperson needs to sell in a week to earn the same amount with the two options. The salesperson earns 40 * $18 = $<<40*18=720>>720 with Option A.
We can set up the following equation to represent the amount of money the salesperson earns with Option B:
0.04S = $720
Solving for S, we find that the salesperson needs to sell $720 / 0.04 = $<<720/0.04=18000>>18,000 to earn the same amount with Option B.
put this equation in Slope-Intercept form
Y + 2 = -5 ( X + 3 )
Answer: y=-5x-17
Step-by-step explanation:
Slope-intercept form follows the formula y-mx+b, where m is slope and b is y-intercept. All we have to do is to manipulate the equation to look like y=mx+b.
[tex]y+2=-5(x+3)[/tex] [distribute right side]
[tex]y+2=-5x-15[/tex] [subtract both sides by 2]
[tex]y=-5x-17[/tex]
Now, our equation matches y=mx+b with m=-5 and b=-17.
What is the value of f in a function?
A function is generally indicated by f.
What is function?A mathematical expression that indicates a relationship between an independent variable and a dependent variable.
In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.
What is the value of f in a function?A function is generally, expressed by letters such as f, g and h and so on.
It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.
For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)
The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.
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Complete question is: What is the value of f in a function?
A number, x, rounded down to 1 significant figure is 40
Write down the error interval for x.
Please explain How you got the answer and thanks so much in advance
Error interval is 35 ≤ x < 45.
Error intervals working?
Error intervals work by providing a range of values within which the true population value is likely to fall, with a certain level of confidence. The most common level of confidence used is 95%, which means that if the survey or experiment were conducted multiple times, the true population value would fall within the error interval 95% of the time.
We are looking at a rounded value when we employ error intervals. The range of values that were possible before the number was rounded is described by an error interval.
Given: A number x becomes 40 if it is rounded to 1 significant figure
To find: error interval for x
In the given question, an error interval is the range of values that a number x can be equal to before it is rounded to 1 significant figure.
As a number x becomes 40 if it is rounded to 1 significant figure, error interval is 35 ≤ x < 45.
A number x in this interval becomes equal to 40 if it is rounded to 1 significant figure.
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Solve for x and check for extraneous solutions. Round any answers to one decimal.
√3x +3+4= -7
X
Is the solution extraneous? Yes or No?
Answer:
Yes
Step-by-step explanation:
I think its yes.I think It's Yes.
The first figure is dilated to form the second figure!
Which statement is true?
The scale factor is 0.25
The scale factor is
The scale factor is 4.35
The scale factor is 7.25
The first figure is dilated to form the second figure, the statement according to will be the scale factor is 0.25.
What is ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is.
A ratio divides two quantities in order to compare them.
As per the given information in the question,
We have two side lengths,
First figure: This represents the object length, which is a diamond with a length equal to 5.8.
Second figure:The picture length is then represented by a small diamond with sides that measure 1.45.
So, the scale factor is,
k = Image length/Object length
k = 1.45/5.8
k = 0.25.
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TRANSLATE EACH PHRASE INTO AN ALGEBRAIC EXPRESSION
1) 4 times a number,increased by 11.
2) 8 times the sum of a number and 7.
3) 1 less than twice a number.
4) the sum of a number and 3 times that number.
5) 12 more than 5 times a number.
6) 16 increased by 1 more than a number.
7) 20 decreased by 5 less than a number.
8) 6 less than a number increased by 15.
Answer:
Step-by-step explanation:
Let the number be x then,
1) 4 * x + 11
2) 8 * (x + 7)
3) 2x - 1
4) x+ 3x
5) 5x + 12
6) 16 + 1 + x = 17 + x
7) 20 - ( x - 5) = 20 - x + 5 = 25 - x
8) x - 6 + 15 = x +9