(30 points) the line contains the point (5,-7) and is parallel to 4x+ 3y =-9 The equation of the line is:

Answers

Answer 1

Answer:

  4x +3y = -1

Step-by-step explanation:

To find the new constant for the equation, use the given x- and y-values:

  4(5) +3(-7) = 20 -21 = -1

The equation of the parallel line in standard form is ...

  4x +3y = -1

(30 Points) The Line Contains The Point (5,-7) And Is Parallel To 4x+ 3y =-9 The Equation Of The Line

Related Questions

Simplify (2^3)^–2 ment to put this

Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

[tex]\left(2^3\right)^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(2^3\right)^{-2}=2^{3\left(-2\right)}\\\\3\left(-2\right)=-6\\=2^{-6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-6}=\frac{1}{2^6}\\\\2^6=64\\\\=\frac{1}{64}[/tex]

Answer:

1/64

Step-by-step explanation:

[tex]\left(2^3\right)^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\\\left(2^3\right)^{-2}=2^{3\left(-2\right)}\\\\3\left(-2\right)=-6\\\\=2^{-6}\\\\=\frac{1}{2^6}\\\\2^6=64\\\\=\frac{1}{64}[/tex]

The quotient of 4 and five times t

Answers

Answer:

[tex]\frac{4}{5t}[/tex]

Step-by-step explanation:

Quotient means division, and 5 times t is 5t, as we are simplifying. Since 4 comes first in the question or sentence, 4 must be the nominator; therefore, 5t is the denominator.

The answer would then be [tex]\frac{4}{5t}[/tex].

Hope this helped!

Solve 10-5x+1=7x+11-12

Answers

Answer:

x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

10−5x+1=7x+11−12

Step 1: Simplify both sides of the equation.

10−5x+1=7x+11−12

10+−5x+1=7x+11+−12

(−5x)+(10+1)=(7x)+(11+−12)(Combine Like Terms)

−5x+11=7x+−1

−5x+11=7x−1

Step 2: Subtract 7x from both sides.

−5x+11−7x=7x−1−7x

−12x+11=−1

Step 3: Subtract 11 from both sides.

−12x+11−11=−1−11

−12x=−12

Step 4: Divide both sides by -12.

−12x

−12

=

−12

−12

x=1

A group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U. The survey revealed the following information. 55 said "great football team" (F) 51 said "excellent party reputation" (P) 61 said "it was the only place that would accept me" (O) 9 said "great football team" but didn't say "excellent party reputation" and didn't say "it was the only place that would accept me" 26 said "it was the only place that would accept me" and "great football team" and "excellent party reputation" 31 said "excellent party reputation" and "great football team" 8 said only "excellent party reputation" 4 said none of the above reasons Required:a. How many said "it was the only place that would accept me" and "excellent party reputation"? b. How many said "great football team "or "it was the only place that would accept me"? c. How many said "great football team "but no "excellent party reputation"? d. How many were surveyed?

Answers

Answer:

Step-by-step explanation:

This is a problem of SETS.

Start by listing out important data:

1. Total that said F = 55

2. Total that said P = 51

3. Total that said O = 61

4. F only = 9

5. F ∩ P ∩ O = 26 [NOTE: If you were to draw a Venn Diagram, 26 would be in the innermost circle because it comprises all three categories]

6. F ∩ P = 31

7. P only = 8

8. Students that said none of the 3 reasons = 4

QUESTIONS

1. How many said O and P? In other words, find the intersect of O and P. Find O ∩ P

2. How many said either F or O? [Answer to be gotten using a venn diagram] Find F ∪ P which translates to "F union P"

3. How many said F without saying P? [Answer to be gotten from the venn diagram as well]

4. How many students in total were surveyed? [HINT: Remember to include the 4 students that had none of the three options]

A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.

Given that a group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U, and the survey revealed that 55 said "great football team" (F), 51 said " excellent party reputation "(P), 61 said" it was the only place that would accept me "(O), 9 said" great football team "but didn't say" excellent party reputation "and didn't say" it was the only place that would accept me ", 26 said" it was the only place that would accept me "and" great football team "and" excellent party reputation ", 31 said" excellent party reputation "and" great football team ", 8 said only "excellent party reputation", and 4 said none of the above reasons, to determine:

A) How many said "it was the only place that would accept me" and "excellent party reputation"?

B) How many said "great football team" or "it was the only place that would accept me"?

C) How many said "great football team" but no "excellent party reputation"?

D) How many were surveyed?

The following calculations must be performed:

F = 55 (F = 9 + FP = 5 + FO = 15 + FPO = 26) = 55 - (26 + 9) = 20 - (31 - 26) = 15 = 9 + 5 + 15 + 26 = 55 // / FO = 15 /// FP = 5 P = 51 (P = 8 + PF = 5 + PO = 12 + PFO = 26) = 51 - 8 - 5 - 26 = 12 /// PO = 12 O = 61 (O = 8 + OP = 12 + OF = 15 + OPF = 26) = 61 - 12 - 15 - 26 = O = 8 None = 4  4 + 9 + 8 + 8 + 5 + 12 + 15 + 26 = X 87 = X

Therefore, A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.

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What are the features of the quadratic function graphed in the figure? Question 14 options: A) Vertex = (–4,3), y-intercept = (5,0), x-intercepts = (0,1) and (0,5), axis of symmetry is x = –4 B) Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3 C) Vertex = (3,–4), y-intercepts = (1,0) and (5,0), x-intercept = (0,5), axis of symmetry is x = 3 D) Vertex = (–3,4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3

Answers

Answer:

B

Step-by-step explanation:

The vertex is the bottom-most point of the curve located at the halfway point. The x coordinate of the point is 3, and the y coordinate is -4. The places at which the quadratic hits the x axis are at (1,0) and (5,0), and it hits the y axis at (0,5).

Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3. Therefore, option B is the correct answer.

We need to find the features of the quadratic function graphed in the figure.

What is a vertex in the graph?

"Vertex" is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges.

The features of the quadratic function are as follows:

The vertex is the bottom-most point of the curve located at the halfway point. The x -coordinate of the point is 3, and the y -coordinate is -4. The places at which the quadratic hits the x-axis are at (1,0) and (5,0), and it hits the y-axis at (0,5).

Therefore, option B is the correct answer.

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5/6 equals 1/3 plus d what does d equal

Answers

It equals 1 1/6 + d.

In other words, one and one sixth plus d.

The sale price of a swimming pool after a 18.5% discount is $1092.10. Find the original list price of the pool.

Answers

X-.165x=1210.75
.835x=1210.75 but where did i get .835 from?
.835 .835
X=1450

In the figure above, triangle ABC is inscribed in the circle with center O and diameter AC. If AB=AO, what is the degree measure of∠ABO?
(A) 15°
(B) 30°
(C) 45°
(D) 60°​

Answers

(B) 30 degrees...........

A group of 37 families will share the cost of building a new playground in their neighborhood  The playground Will cost 3,145 how much will each family have to pay

Answers

Answer:

37÷3,145

=85+5

=90-37

=53

If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Between the 2 and the 6
Between the 6 and the 9
Between the 9 and the 7
Between the 7 and the 0

Answers

The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7

Step-by-step explanation:

Dividend = 26.97       [numerator]

Divisor = 6.3               [denominator]

If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;

(i)First convert the divisor to a whole number by multiplying by 10 i.e

6.3 x 10 = 63

(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e

26.97 x 10 = 269.7

(iii) The division expression then becomes;

269.7 ÷ 63

Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.

can you give me Brainliest

Answer:

9 and 7

Step-by-step explanation:

26.6.3 is long division set up 63 is out of the division symbol and 26970.

Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically

Answers

Answer:

8) 1

9) -4

10)  -3

11)  -1

12)  1

13)  doesn't exist

14)  1

15)  doesn't exist

Step-by-step explanation:

8) when we approach x=-8 from left and from right, the function tends towards the value 1

9) when we approach x = -7, from the left the function gets towards 0, while when we approach it from the right it gets closer to -4

10) f(-3) = -3

11) When x approaches the value 4 from the left and from the right, f(x) gets closer to -1

12) f(4) is defined as 1

13) f(6) doesn't exist

14)  When x approaches 6 from the left and from the right, the function approaches 1

15)  When x approaches the value 7 from the left the function gets closer to 2, while when we approach x = 7 from the right the function gets toward 7. Because of this discrepancy, the limit doesn't exist.

-9 would be a part of which group(s)? *
Natural
Whole
Integer
Rational
What is the answer

Answers

Answer:

Integer, Rational

Step-by-step explanation:

Natural numbers are the basic counting numbers (1,2,3...) and does not include negatives.

Whole numbers are natural numbers with the addition of zero, and still does not include negatives.

Integers are all whole numbers and their negative counterparts, which includes -9.

Rational numbers are numbers that can be expressed as a fraction and -9 can be expresses as -9/1, so -9 is a rational number.

Hope this helps!

integer and rational

what is the sum of 0.64 and 0.28

Answers

Answer:

0.92

Here is my work:

    +1

  0.64

+ 0.28

__________

    0.92

(the +1 is the carrying of the one)

Hope this helps!!

The answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

The numbers are 0.64 and 0.28

= 0.64 + 0.28

After applying arithmetic operations,

= 0.92

Thus, the answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.

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What values of X make the two expressions below equal?

Answers

Answer:

A

Step-by-step explanation:

they dont come out the same

Solve. 3 x+2y−z=8 2x+2z=−4 x+3y=4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )

Answers

Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation:

Solve the following system:

{3 x + 2 y - z = 8

2 x + 2 z = -4

x + 3 y = 4

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for x:

{3 x + 2 y - z = 8

2 x + 2 z = -4

x + 3 y = 4

Hint: | Solve for x.

Subtract 3 y from both sides:

{3 x + 2 y - z = 8

2 x + 2 z = -4

x = 4 - 3 y

Hint: | Perform a substitution.

Substitute x = 4 - 3 y into the first and second equations:

{3 (4 - 3 y) + 2 y - z = 8

2 (4 - 3 y) + 2 z = -4

x = 4 - 3 y

Hint: | Expand the left hand side of the equation 3 (4 - 3 y) + 2 y - z = 8.

3 (4 - 3 y) + 2 y - z = (12 - 9 y) + 2 y - z = 12 - 7 y - z:

{12 - 7 y - z = 8

2 (4 - 3 y) + 2 z = -4

x = 4 - 3 y

Hint: | Expand the left hand side of the equation 2 (4 - 3 y) + 2 z = -4.

2 (4 - 3 y) + 2 z = (8 - 6 y) + 2 z = 8 - 6 y + 2 z:

{12 - 7 y - z = 8

8 - 6 y + 2 z = -4

x = 4 - 3 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{12 - 7 y - z = 8

8 - 6 y + 2 z = -4

x = 4 - 3 y

Hint: | Isolate terms with y to the left hand side.

Subtract 12 - z from both sides:

{-7 y = z - 4

8 - 6 y + 2 z = -4

x = 4 - 3 y

Hint: | Solve for y.

Divide both sides by -7:

{y = 4/7 - z/7

8 - 6 y + 2 z = -4

x = 4 - 3 y

Hint: | Perform a substitution.

Substitute y = 4/7 - z/7 into the second equation:

{y = 4/7 - z/7

8 - 6 (4/7 - z/7) + 2 z = -4

x = 4 - 3 y

Hint: | Expand the left hand side of the equation 8 - 6 (4/7 - z/7) + 2 z = -4.

8 - 6 (4/7 - z/7) + 2 z = 2 z + ((6 z)/7 - 24/7) + 8 = (20 z)/7 + 32/7:

{y = 4/7 - z/7

(20 z)/7 + 32/7 = -4

x = 4 - 3 y

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for z:

{y = 4/7 - z/7

(20 z)/7 + 32/7 = -4

x = 4 - 3 y

Hint: | Isolate terms with z to the left hand side.

Subtract 32/7 from both sides:

{y = 4/7 - z/7

(20 z)/7 = -60/7

x = 4 - 3 y

Hint: | Solve for z.

Multiply both sides by 7/20:

{y = 4/7 - z/7

z = -3

x = 4 - 3 y

Hint: | Perform a back substitution.

Substitute z = -3 into the first equation:

{y = 1

z = -3

x = 4 - 3 y

Hint: | Perform a back substitution.

Substitute y = 1 into the third equation:

{y = 1

z = -3

x = 1

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 1 , y = 1 , z = -3

Solve for x.

2x/3 + 1 = 3

x = 1
x = 2
x = 3
x = 6

Answers

Answer:

The correct answer is x=3 trust me. Im good at math got 1st place on 1v1 equations in my school hope this helped.

Step-by-step explanation:

Answer:

[tex]\boxed {\tt x=3}[/tex]

Step-by-step explanation:

We want to solve for x, therefore we must isolate the variable.

We are given the equation:

[tex]\frac{2x}{3} +1=3[/tex]

1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.

[tex]\frac{2x}{3}+1-1=3-1[/tex]

[tex]\frac{2x}{3} =2[/tex]

2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.

[tex]3*\frac{2x}{3} =2*3[/tex]

[tex]2x=2*3[/tex]

[tex]2x=6[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=\frac{6}{2}[/tex]

[tex]x=3[/tex]

The solution to the equation is x=3.

If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two
years?

Answers

Answer:

18750

Step-by-step explanation:

so since it's 2 years we have to double 7.5 which is 15%. Then we multiply 15 x 125,000 which is 18,750

After two years of depreciation the house would be worth approximately $106,953.

To calculate the worth of the house after two years of depreciation, you need to apply the depreciation rate for each year.

After the first year, the value of the house would decrease by 7.5%.

So, the worth of the house after one year is:

125,000 - (7.5% of 125,000)

= 125,000 - (0.075 × 125,000)

= 125,000 - 9,375

= $115,625.

Now, to find the worth of the house after the second year, you need to apply the depreciation rate again:

115,625 - (7.5% of 115,625)

= 115,625 - (0.075 × 115,625)

= 115,625 - 8,671.88

= 106,953.

So, the house would be worth approximately $106,953 after two years of depreciation.

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Solve 3[-x + (2 x + 1)] = X-1.
X =

Answers

X= -2

Yeasssssssssssssss

Answer:

-2

Step-by-step explanation:

took the test

if you could generate energy by fusing the hydrogen in solution a, how much of the solution would you need to generate the electrical energy used daily in a certain home? energy released by fusion of hydrogen in 1 liter of solution A = 7.6*10^10 Electrical energy used daily in a certain family home = 3*10^4

Answers

Answer:

We know that:

Energy released by fusion of hydrogen in 1 liter of solution A = 7.6x10^10 J

Energy used daily in a certain family home = 3x10^4 J

(you did not write the units, so i suppose that are the same in both cases)

Then, if x is the number of liters of solution A used, the energy produced will be:

E(x) = x*7.6x10^10 J

And we want this equal to 3x10^4

then:

E(x) = x*7.6x10^10 J = 3x10^4 j

now we solve this for x.

x = (3x10^4 j)/(7.6x10^10 j) = 3.9x10^-7

Then you need to use 3.9x10^-7 L of solution a.

Please help thank youuu

Answers

Answer:

D: 61 degrees.

Step-by-step explanation:

right angles add up to 90 degrees.

Answer:

61 degrees

Step-by-step explanation:

29+x=90

x=90-29

x=61

What next three numbers come in this sequence 1/4, 1/2, 3/4

Answers

Answer:

4/4, 1 1/4, 1 1/2, 1 3/4

Step-by-step explanation:

It moves by fourths so it goes 1/4, 2/4, 3/4, and so on.

Hope This Helps :)

4/4, 5/4, and 6/4 will come in the given sequence of the pattern.

What is the pattern?

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

The hint which is present in a given pattern hides in the pattern only.

For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.

Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.

Given the pattern,

1/4, 1/2, 3/4

Now if we look then we will get to know that if we add 1/4 consecutively then the next term will come.

For example

1/4 + 1/4 = 1/2

1/4 + 1/4 + 1/4 = 3/4

So,

The next three terms will be

4/4,5/4 and 6/4.

Hence "4/4, 5/4, and 6/4 will come in the given sequence of the pattern".

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Need help quick Solve each equation for x. x to the power of 2= 1/100

Answers

Answer:

x=1/10

Step-by-step explanation:

x^2=1/100

x=root(1/100)

x=1/10

Answer:

[tex]x = \frac{1}{10}[/tex]

Step-by-step explanation:

If x squared gets us [tex]\frac{1}{100}[/tex], then we can create the equation [tex]x^2 = \frac{1}{100}[/tex].

To solve for x, we find the square root of both sides.

[tex]\sqrt{x^2} = \sqrt{\frac{1}{100}}[/tex]

The square root of [tex]\frac{1}{100}[/tex] is [tex]\frac{1}{10}[/tex], since [tex]10\cdot10=100[/tex].

This means [tex]x = \frac{1}{10}[/tex].

Hope this helped!

What is equal to 4 1/2 dividend by 2 2/3

Answers

Answer:

Step-by-step explanation:

9/2    /      8/3

9/2 x 3/8

27/16 = 1  13/16

Answer:

9/2    /    8/3

IS THE POSSIBLE ANSWER TO THIS EQUATION.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 1 + sec(x), −π 3 ≤ x ≤ π 3 , y = 3; about y = 1

Answers

Using the washer method, the volume is given by the integral

[tex]\displaystyle\pi\int_{-\pi/3}^{\pi/3}\bigg((3-1)^2-((1+\sec x)-1)^2\bigg)\,\mathrm dx=2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx[/tex]

where 3 - 1 = 2 is the distance from y = 3 to the axis of revolution, and similarly (1 + sec(x)) - 1 = sec(x) is the distance from y = 1 + sec(x) to the axis. The integrand is symmetric about x = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.

So the volume is

[tex]\displaystyle2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx=2\pi(4x-\tan x)\bigg|_0^{\pi/3}=\boxed{\dfrac{8\pi^2}3-2\pi\sqrt3}[/tex]

Which type of transformation is shown here?

Answers

That would be a rotation

Answer:

this one is Rotation

Step-by-step explanation:

it's going to flip on the side

Is -5/13 a rational number

Answers

Answer:

yes -5/13 is a rational number


[tex]1 \frac{3}{4} [/tex]
The square of the number. answer has to be a mixed number ​

Answers

Answer:

[tex]3 \frac{1}{16} [/tex]

Step-by-step explanation:

first lets change the question into proper fraction

[tex]1 \frac{3}{4} = \frac{7}{4} [/tex]

now lets find the square of the number

[tex] { \frac{7}{4} }^{2} = \frac{49}{16} [/tex]

The question says the answer must be a mixed number so lets change it

[tex] \frac{49}{16} = 3 \frac{1}{16} [/tex]

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for any question comment me

A bicycle is traveling at 20 miles per hour.
How many feet will it cover in 25 seconds?
Round your answer to the nearest tenth of a foot.

Answers

Answer:

Distance= 73.333 feet

Step-by-step explanation:

Speed of the bicycle= 20 miles per hour

1 mile =

5280 feet

I hour= 3600 seconds

Speed in feet/seconds=( 20*5280)/(3600)

Speed in feet/second= 29.333 feet/s

Distance= speed*Time

Distance= 29.333*25

Distance= 73.333 feet

Josie found a job with an annual salary of $67.3K. What is her monthly pay, rounded to the nearest dollar?

Answers

Answer:

$5,608

Step-by-step explanation:

Since there are 12 months in one year, divide her annual salary by 12.

$67,300/12 = $5,608.33 ≈ $5,608

Josie makes $5,608 per month.

Answer:

5608

Step-by-step explanation:

annual salary=$67.3k

it is annual

so

monthly salary=$67.3÷12

=$5608.33333333

rounded off top the nearest dollar= $5608

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one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1

Answers

Answer:

the number is 5

Step-by-step explanation:

We have to find the equation to solve the problem.

Let the number be x

lets write one more than seven times the difference of a number and 4  in mathematical form

1. Difference of number and 4 will be written as x - 4

now

2. seven times the difference of a number and 4 will be written as

7*( x - 4)

3. one more than seven times the difference of a number and 4 is expressed as

1 + 7*( x - 4)

_____________________________________________

1 + 7*( x - 4) is equal to twice the difference of the number and 1

4. difference of the number and 1 is x - 1

5.  twice the difference of the number and 1 is 2*(x-1)

Thus,

1 + 7*( x - 4) = 2*(x-1)

=> 1 + 7x - 28 = 2x -2

=> 7x - 27 = 2x - 2

adding 27 both sides

=> 7x - 27 + 27 = 2x - 2 + 27

=> 7x = 2x + 25

subtracting 2x from both sides

7x -2x = 2x + 25 - 2x

=> 5x = 25

dividing both side by 5

5x/5 = 25/5

x = 5

Thus, the number is 5  answer

Other Questions
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