Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal’s equations has no solution?

Answers

Answer 1

Step-by-step explanation:

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Jubal Wrote The Four Equations Below. He Examined Them, Without Solving Them, To Determine Which Equation
Answer 2

Answer: The equation 3x + 2 = 3x - 2 has no solutions.

Step-by-step explanation:

So far, we know that we have four equations, and we have to find one that has no solutions. We can first examine them like Jubal did:

7x + 1 = 7x+ 1

3x + 2 = 3x - 2

4x + 1 = 3x + 8

-2x + 1 = -2x + 1

Just by looking at this, we see here that two of these equations look exactly the same even on the other side of the equation sign:

7x + 1 is the same as 7x + 1       AND

-2x + 1 is the same as -2x + 1

So we know that these are identities, meaning, they have infinitely many solutions. So, they cannot have no solutions because they are the ultimate opposite of that.

Next, looking at the other problems, we see that:

4x + 1 = 3x + 8       AND

3x + 2 = 3x - 2

Let's just take a look at the second equation from this selection. We see that this equation looks almost exactly the same on both sides of the equation sign, EXCEPT that the constants are different ( I mean 2 and -2 ). IF we WERE to add/subtract two from both sides, they wouldn't cancel out but instead leave you with 4. If you had subtracted the 3xs, then you would have been left with 0. So, 0 does NOT equal 6, so therefore, this has no solutions.

And what about 4x + 1 = 3x + 8?

If you just take a look at it, it only has one solution.

Hence, 3x + 2 = 3x - 2 has no solutions.


Related Questions

A restuarant bill is $35.50. How much EXTRA money should you leave if you want to add a %20 tip?​

Answers

Answer: $ 7.20

Step-by-step explanation:

Multiply the cost ( 35.50) by 20% or 0.20 and you get your answer ( 7.20 ). Hope this helps!

If 1/4 in. represents 1 ft. what distances are represented by lines of the following lengths: 2 in., 5 in., 1 1/2 in., 2 2/3 in., 4 7/8 in.?

Answers

Answer:

Step-by-step explanation:

Make q clear

Answer:

2 > 8

5 > 20

1.5 > 6

2 2/3 > 10.667

4 7/8 > 19.5

Step-by-step explanation:

(Use cross multiplication or algebra to solve)

Write an expression for the quotient of b divided by the difference of two minus three.

Answers

Answer:

b/(2-3)

Step-by-step explanation:

The expression for the quotient of b divided by the difference of two minus three is q = b / (2 - 3) and can be simplified as q = -b.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of b divided by the difference of two minus three,

The expression for the above statement can be written as,

Assume the quotient is q then,

q = b / (2 - 3)

The denominator can be simplified as,

q = b / (-1)

q = -b

To know more about the expression:

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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)​

Answers

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) is given as (x, y). The location of x and y are:

[tex]x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex]

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

[tex]0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10[/tex]

Hence the endpoint is at (x2, y2) which is at (-9, 10)

The 2017 population of California was 39536653 and of Arizona was 7016270. Compute and compare the rate of pedestrian fatalities per 100,000 residents.

Answers

Answer:

The pedestrian fatality rate for California per 100,000 residents would be;

= (858/39,536,653) * 100,000

= 2.17 people per 100,000

In Arizona that figure is;

= (216/7,016,270) * 100,000

= 3.08 people per 100,000

This shows that even though California has a higher number of pedestrian fatalities in absolute terms, when this figure is made relative to population, Arizona has more pedestrian fatalities.

A store in Wildgrove purchased an antique pull toy at a cost of $890 and marked it up 200%. Later on, Jeffrey bought the antique pull toy. If the sales tax in Wildgrove is 10%, how much did he pay in all?

Answers

Answer: Jeffery paid $ 2937 in all.

Step-by-step explanation:

Given: The cost of antique pull = $890

Mark up percentage = 200%

New price = (cost) + (Mark up percentage) x (cost)

[tex]=\$( 890+\dfrac{200}{100}\times890)\\\\=\$( 890+2(890))\\\\=\$2670[/tex]

After a tax of 10% , the amount needs to be paid = New price + 10% of New price

 [tex]=\$(2670+\dfrac{10}{100}\times2670)=\$(2670+267)\\\\=\$2937[/tex]

Hence, Jeffery paid $ 2937 in all.

I need the answer please

Answers

Answer:

D - All rational numbers are integers.

Step-by-step explanation:

This is because integers is a subcategory of rational numbers, so there are other rational numbers that aren't integers.

Marco has $75 to spend on new clothes for a job interview. He buys a shirt for $18.28, pants for $42.39, and a tie for $12.97. How much money will Marco have left after he buys these clothes?

Answers

Answer:

$1.36

Step-by-step explanation:

First, add together the prices of all the clothes:

18.28 + 42.39 + 12.97

= 73.64

Then, subtract this from 75:

75 - 73.64

= 1.36

So, he will have $1.36 left after buying the clothes

The money Marco have left after he buys his clothes is $1.36.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Marco has $75 to spend on new clothes for a job interview.

Let the money left after he purchase his clothes be x.

Cost of shirt=$18.28, cost of pants=$42.39 and cost of tie =$12.97

Now, x=75-(18.28+42.39+12.97)

x= 75-73.64

x= $1.36

Therefore, the money Marco have left after he buys his clothes is $1.36.

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Classify each of the following numbers as real, whole, integer, rational or irrational. Some numbers will have more than one classification. 1. -98 2. 1.98 3. 1270 4. 1,232,323

Answers

Answer:
1). -98 (integer, real number, rational)
2). 1.98 (real, rational)
3). 1270 (whole, real, integer, rational)
4). 1,232,323 (whole, real, integer, rational)

Without simplifying, select all the expressions that represent a rational number. Group of answer choices LaTeX: 4\frac{2}{3}+\frac{\sqrt{3}}{9} 4 2 3 + 3 9 4 2 3 + 3 9 4 2 3 + 3 9 LaTeX: 4\frac{2}{3}\times\frac{8}{\sqrt{3}} 4 2 3 × 8 3 4 2 3 × 8 3 4 2 3 × 8 3 LaTeX: 4\frac{2}{3}-\frac{\sqrt{4}}{8} 4 2 3 − 4 8 4 2 3 − 4 8 4 2 3 − 4 8 LaTeX: 4\frac{2}{3}\times\frac{\sqrt{3}}{9} 4 2 3 × 3 9 4 2 3 × 3 9 4 2 3 × 3 9 LaTeX: 4\frac{2}{3}\div\frac{\sqrt{4}}{8}

Answers

Answer:

Option C.

Step-by-step explanation:

We know the following properties,

1. Product of an irrational number and a non-zero rational number is always an irrational number.

2. Sum of a rational and an irrational number is always an irrational number.

3. Sum or products of rational numbers are always a rational number.

In option A,

[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex]

Here, [tex]\sqrt{3}[/tex] is an irrational number.

[tex]\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 1.

[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 2.

So, using the above properties we can say that this expression represents an irrational number.

Similarly,

In option B,

[tex]4\frac{2}{3}\times\frac{8}{\sqrt{3}}[/tex]

Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.

In option C,

[tex]4\frac{2}{3}-\frac{\sqrt{4}}{8}[/tex]

Here, [tex]\sqrt{4}=2[/tex], which is a rational number.

So, this expression represents a rational number using property 3.

In option D,

[tex]4\frac{2}{3}\times\frac{\sqrt{3}}{9}[/tex]

Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.

Therefore, the correct option is C.

what statement is true about the angles in triangle PQR

Answers

Answer:

(C) The sum of the measures of ∠P, ∠Q, and ∠R is 180°

Step-by-step explanation:

All triangles, when their three angles are added up, gets us 180°.

This goes without saying, even with scalene triangles.

Additionally, the angles in squares add up to 360°, the angles in a pentagon add up to 540°.

Hope this helped!

Q is between P and R. PR=145,PQ=8x & QR=11x-7. What is the value of QR?

Answers

Answer:

QR = 81

Step-by-step explanation:

PR = 145

= PQ + QR

= (8x) + (11x - 7)

8x + 11x - 7 = 145

19x = 145 + 7

19x = 152

x = 8

substitute x=8 into QR:

11(8) - 7 = 81

The calculator has a broken 1 key and broken 7 key ,and a broken plus key .Write at least on way to make each of the following numbers 17,41,71,.​

Answers

Answer:

20-3

43-2

73-2

Step-by-step explanation:

subtract bro

If US = 14, find the value of x

Answers

Answer:

4-6+2x=14

2x=14+6-4

2x=16

x=8

Step-by-step explanation:

Answer:

Step-by-step explanation:this is easy just find x and times it by 2 and then it will equal 14 so the awser is 7

For his long distance phone service, Ali pays a 7 monthly fee plus 7 cents per minute. Last month, Ali's long distance bill was 19.53 . For how many minutes was Ali billed?

Answers

Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Question is down below

Answers

Answer:

B

Step-by-step explanation:

p(x) = x² - 2√2x + 1

p(2√2) = (2√2)² - 2√2*2√2 + 1

           =2²*(√2)² - 2*2*√2*√2  + 1

           = 4 *2 - 4*2 + 1

           = 8 - 8 + 1

           = 1

Answer:

B

Step-by-step explanation:

Given

p(x) = x² - 2[tex]\sqrt{2}[/tex] x + 1, then

p(2[tex]\sqrt{2}[/tex] )= (2[tex]\sqrt{2}[/tex] )² - 2[tex]\sqrt{2}[/tex](2[tex]\sqrt{2}[/tex] ) + 1 = 8 - 8 + 1 = 1 → B

Nate has written 4 paragraphs of an essay for his English class so far. He can write a paragraph
2
every 3 of an hour. Write an expression for the number of paragraphs in Nate's essay after h,
hours.

Answers

3h * 2

three hours every two paragraph

A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is the sum of the squared deviations of the scores from the mean?

Answers

Answer:

26

Step-by-step explanation:

Subtract the mean (84) from each of the four scores, obtaining

2, -3, 3, - 2

These are the "deviations."

Next, square each of these four deviations, obtaining

(2)^2 = 4, and:

(-3)^2 = 9, and:

(3)^2 = 9, and:

(-2)^2 = 4

Then the sum of the squared deviations of the scores from the mean is 26.

What Is a domain of a function?

Answers

Answer: a set of all possible inputs for the function.

Step-by-step explanation:

Answer:  A domain of a function is all set of inputs that make the function definable.

Step-by-step explanation:

plz give correct answer with explanation...correct answer will be marked BRAINLIEST and be followed...

Answers

Answer:

x=33

because it lies on the same side of the angle

y= 115

plz mark brainliest

180-155=65 (linear pair)

65+33+x=180 (asp)

98+x=180

x=180-98

x=82

and y...

180-82=98  linear pair

98+36+y=180 asp

134+y=180

y=180-134

y=46

The total fertility rate (TFR) of a country is the average number of births per woman in that country. In Country W the TFR went from 5.0 in 1995 down to 3.0 in 2005. What is the percent change in the TFR in Country W from 1995 to 2005

Answers

Answer:

Decrease in TFR of 40%.

Step-by-step explanation:

Given that:

TFR (Total Fertility Rate) in 1995 = 5

TFR (Total Fertility Rate) in 2005 = 3

To find:

Percentage change in TFR from 1995 to 2005 = ?

Solution:

First of all, let us have a look at the formula for calculating the percentage change in any quantity.

Let p be the old value and

q be the new value.

Then percentage change is given as:

[tex]Percentage\ change = \dfrac{New\ Value - Old\ Value}{Old\ Value} \times 100[/tex]

Here, Old value is 5

New value is 3.

[tex]Percentage\ change = \dfrac{3 - 5}{5} \times 100\\\Rightarrow Percentage\ change = \dfrac{- 2}{5} \times 100\\\Rightarrow Percentage\ change = - 40\%[/tex]

Negative sign means there is a decrease of 40%.

So, Decrease in TFR of 40% is the answer.

Select the correct answer. Solve for x. (x - 4)(x - 4) = 0 A. -16 B. -4 C. 4 D. 16

Answers

Answer:

C. 4

Step-by-step explanation:

To solve, set each parenthesis equal to the opposite side (0 in this case).

(x - 4)(x - 4) = 0

x - 4 = 0

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:

x - 4 (+4) = 0 (+4)

x = 0 + 4

x = 4

Do the same for the other parenthesis:

x - 4 = 0

x - 4 (+4) = 0 (+4)

x = 0 + 4

x = 4

C. 4 is your answer.

~

Answer:

Hey there!

(x-4)(x-4)=0

(x-4)^2=0

x-4=0

x=4

The correct answer would be C.

Let me know if this helps :)

Bob's Bike Shack charges a set fee of $6, plus $4 per hour, to rent a bike. If your total bill is $30, how many hours did you rent the bike for?

Answers

20

Step-by-step explanation:

30-6=24-4=20 that how you find your a answer

Convert this number expressed in standard form to scientific notation. 28,500,000 1. Move the decimal to create the coefficient: 2.8500000 2. Write in scientific notation: 2.85 × 10x What is the value of x in the scientific notation? x =

Answers

Answer:

7

Step-by-step explanation:

We know the decimal place is after all those zeroes. Move the decimal x places to the left, until it is located between the 2 and 8. Since it moved 7 spaces, that is how you know the power of the ten. A faster way of doing this is the power is always one less than the number of digits of the number.

Answer: 7

Step-by-step explanation:

When the digits of two-digit, positive integer M are reversed, the result is the two-digit, positive integer N. If M > N, what is the value of M

Answers

Answer:

The value of M is 91.

Step-by-step explanation:

Suppose T represents the tens digit and U represents the units digit.

Then the numbers M and N are:

M = 10T + U

N = 10U + T

Compute the value of M - N as follows:

M - N = 10T + U - 10U - T = 9T - 9U = 9 (T - U)

Given:

M > N

⇒ T - U > 0

⇒ T > U

Also, M - N is a multiple of 9.

Since M - N is a two-digit number, the possible values of M - N are:

18, 27, 36, 45, 54, 63, and 72

The values 81, 90 and 99 would not be considered since:

9 × 9 = 81

9 × 10 = 90

9 × 11 = 99

T - U = 9 (T - U) = 9 , 10 or 11 respectively and the largest difference for T − U we can get is 9 - 0 = 9 - 0 = 9.

Even this would result in N = 9, which is not a 2-digit number.

It is provided that the integer (M - N) has 12  factors.

Of the possible values of M - N the integer with 12 factors is 72.

The factors of 72 are:

1×72

2×36

3×24

4×18

6×12

8×9

So, M - N = 72.

⇒ M - N = 9 (T - U)

        72 = 9 × 8

⇒ T - U = 8

And since T > U, the values of T and U are:

T = 9 and U = 1

We cannot use T - U = 8 - 0 = 8, because then N will be not a two-digit number.

So, M = 91 and N = 19 and their difference is 72.

Thus, the value of M is 91.

Given that M is the midpoint of VW, what is the length of line segment VM?

Answers

Answer:

VM=15

Step-by-step explanation:

4x-1=3x+3 becuase M is the mid point, which makes both sides equal.

Subtract 3x to both sides to get x-1=3.

Add 1 to both sides to get x=4.

Subsitue 4 into the equation 4x-1 to find the lengh of VM.

4(4)-1=

16-1=

15

Using the midpoint concept, it is found that the length of the line segment is of 30 units.

The midpoint divides the line into two segments of equal length, hence [tex]VM = MW[/tex].

Their lengths, as functions of x, are given by:

[tex]VM = 4x - 1[/tex]

[tex]MW = 3x + 3[/tex]

They have the same lengths, hence:

[tex]4x - 1 = 3x + 3[/tex]

[tex]x = 4[/tex]

Hence:

[tex]VM = 4x - 1 = 4(4) - 1 = 16 - 1 = 15[/tex]

[tex]MW = VM = 15[/tex]

The total length is:

[tex]T = VM + MW = 15 + 15 = 30[/tex]

The length of the line segment is of 30 units.

A similar problem is given at https://brainly.com/question/24352869

Ms. Davis' is one less than 7 dozen. Ms. Davis is 7.2 more than 60% of her mother's age. Ms. Davis daughter is 3.5 more than 1/2 her mother's age. How old are ms. Davis, her mom, and her daughter?

Answers

Answer:

Ms. Davis=83 years

Her mom=126.33 years

Her daughter=66.67 years

Step-by-step explanation:

Let her mother's age=x

Ms. Davis= 7 dozens - 1

=(7*12)-1

=84-1

= 83 years

Ms. Davis= 7.2 + 60% of x

83=7.2 + .6x

83 - 7.2= .6x

75.8= .6x

Divide both sides by .6

75.8 / .6 = x

126.33 years

Ms. Davis daughter = 3.5 + 1/2 of x

=3.5 + 1/2(126.33)

=3.5 + 126.33 / 2

=3.5 + 63.165

=66.665

Approximately 66. 67 years

Please help me solve this geometry proof problem with detailed steps!

Answers

Step-by-step explanation:

in triangle pqr and trs

statement reason

1. pr=rt ( s ) 1. given

2. angle prq = angle srt (a) 2. vertically opposite angle

3. rq = sr ( s ) 3 .given

4 triangle pqr ~= triangle trs 4. by SAS axiom/fact

5. pq = st 5. from statement 4

6. pq\\st 6. from statement 5

proved

About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer.Find the radius of the region

Answers

Answer:

radius is 4.5 km

Step-by-step explanation:

Given :

Total number of people living in the area = 1.15 million = 1150000

Population density = 18075 people per sq kilometer

To find:

Radius of region = ?

Solution:

Population density of a region is defined as the ratio of total population divided by the area of the region.

Area here is circular. Let the radius be = r

Area of circle is given as [tex]\pi r^2[/tex]

Formula:

[tex]Population\ Density = \dfrac{Total\ population}{\pi r^2}[/tex]

Putting the values:

[tex]18075 = \dfrac{1150000}{\pi r^2}\\\Rightarrow r^2 = \dfrac{1150000}{18075\pi }\\\Rightarrow r^2 = \dfrac{63.62}{\pi }\\\Rightarrow r^2 = 20.26\\\Rightarrow \bold{r=4.5\ km}[/tex]

Therefore, radius is 4.5 km.

Is y= x/2 + 6 linear or nonlinear

Answers

Answer:

It is linear

Step-by-step explanation:

Its linear because y=x/2 + 6 is equal to y = 1/2x+6 which is a linear function

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