Solve for x.
5x – 7 = 8x – 4

Answers

Answer 1

Answer:

x =-1

Step-by-step explanation:

[tex]5x- 7 = 8x - 4\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\5x-7+7=8x-4+7\\\\Simplify\\5x=8x+3\\\\\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}\\5x-8x=8x+3-8x\\\\Simplify\\-3x =3\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{3}{-3}\\\\Simplify\\x=-1[/tex]

Answer 2

Answer:

x = -1

Step-by-step explanation:

[tex]5x - 7 = 8x - 4\\[/tex]

Collect like terms and simplify

[tex]5x-8x =-4+7\\-3x =3[/tex]

Divide both sides of the equation by -3

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


Related Questions

Franklin has a five-dollar bill and d dimes in his money jar. Which expression could represent the value, in dollars, in franklins money jar?

Answers

Answer:

5+0.10d

Step-by-step explanation:

A five dollar bill is worth $5 and a dime is worth 10 cents, or a tenth of a dollar. To find the value of the money take the sum of the value of the bill and the number of dimes (d) times the value of each dime. You will get $5+0.10d.

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PLEASE HELP!! ASAP NOWWWW Two races that a student runs every year are the 1492​-mile race in his hometown and the ​-meter race in his college town. Complete parts​ (a) through​ (d) below.

Answers

Answer:

College town race is 31% of the home town race.

Step-by-step explanation:

Length of hometown race = 3 miles

Length of college town race = 1492 meters

Since 1 meter = 0.0006214 miles

Therefore, 1492 = 0.93 miles

Percentage of college town race to the hometown race,

= [tex]\frac{\text{College town race}}{\text{Home town race}}\times 100[/tex]

= [tex]\frac{0.93}{3}\times 100[/tex]

= 31%

Therefore, the college town race is 31% of the home town race.

write the roster from of
{ x:x is a factor of 42 }​

Answers

Answer:

the correct answer is

{2,3,6,7,14,21,}

Observations that deal with descriptions that cannot be expressed with numbers are called?

Answers

Answer:

rrrrrrrrrrrtuuuuuuuuuuuuuuuuu

Step-by-step explanation:

what is the value of a
Help please

Answers

When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.

B and C are 7, so a would also be 7

What are the chances that a coin toss will result in heads? (vs. tails)?

Answers

Answer:

50/50

Step-by-step explanation:

there are only two sides so they both get 50 percent

Answer: 1 in 2 chance

Step-by-step explanation: because there are only 2 sides and can only land on one side

The point (2,6) lies on the graph of the equation y = kx^2 - 3x. Find the value of K.

Answers

Answer:

k=3

Step-by-step explanation:

just did it

What is the product of (-6)(-7)(-1)
142
0 14
0 42

Answers

Answer:

-42

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

(-6)(-7)(-1)

Step 2: Multiply -6 and -7 together

(-6)(-7) = 42

Step 3: Multiply 42 and -1 together

42(-1) = -42

the answer would be -42

Write an equation that has a slope of 2 and goes through the point (2, 1).

Answers

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:

[tex]y-1=2(x-2)[/tex]

Distribute the right:

[tex]y-1=2x-4[/tex]

Add 1 to both sides:

[tex]y=2x-3[/tex]

And that's our equation.

And we're done!

964,103 rounded to the nearest ten thousand

Answers

960,000! Hope this helped! :D

Hannah has 3 places to hang pictures on her wall.she has 6 possible pictures all together. How many possible arrangements of pictures can she hang?

Answers

She has 6 possible pictures or 6 possible places?

The number of possible arrangements of pictures she can hang on her wall is 120.

How many possible arrangements of pictures can she hang?

The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.

Number of possible arrangements = 6! / 3!

( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120

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The students plan to eat lunch at a park. Each table can only seat 6 stud
If there are 48 students, how many tables are needed?

Answers

The answer is 8 because 6x8=48

Answer:

They would need 8 tables.

Step-by-step explanation:

if there is 6 students on one table

6. 6. 6. 6+6+6+6+6+6+6+6= 48

6. 6. 6×8= 48 students

6. 6. 6.

Write an equation in slope-intercept form for the line described. Slope 9/2, passes through (0,-13/2)

Answers

Use slope-intercept equation form: [tex]y=mx+b[/tex]

We know that the slope is 9/2

[tex]y=\frac{9}{2}[/tex]

[tex]y=\frac{9}{2}x+b[/tex]

To solve for b, we can plug in the point given, since it's on the line.

[tex]-\frac{13}{2}=\frac{9}{2}(0)+b[/tex]

[tex]b=-\frac{13}{2}[/tex]

So the equation is: [tex]y=\frac{9}{2}-\frac{13}{2}[/tex]

頑張って!

Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64

Answers

Answer:

A) reflection over the x-axis, plus a vertical translation

Answer:

A

Step-by-step explanation:

EDGE 2020

Find the general solution of the following equation: y'(t) = 3y -5

Answers

Answer:

The general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = [tex]e^{3t}e^{3C}[/tex]        

3y - 5 = [tex]Ae^{3t}[/tex]                [tex]A = e^{3C}[/tex]

3y = [tex]Ae^{3t}[/tex] + 5    

dividing through by 3, we have

y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

So, the general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.

Answers

Answer:

1.10

Step-by-step explanation:

that's your answer

The location of the tug boat relative to the port will be 30.83 miles.

What is trigonometry?

Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles.

The distance of ship A from the port is x

X²= 18²+30²

X²= 324+900

X²=1224

X=34.9857 miles

Bearing from port:-

Tanθ= 18/30

θ = tan^-1 3/5

θ= 31°

N 31° E

The distance of ship B from the port is y.

Y²= 27²+10²

Y²= 729+100

Y²= 829

Y=28.7924 miles

Bearing from port:-

Tanθ = 2.2

θ = 69.7°

90-69.7= 20.3

N 20.3°W

The distance between the two ships is z.

Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)

Z²= 2053+267.1

Z²= 2320.1

Z=48.18 miles

One-fifth of 48.18

=9.63 miles

The distance of the boat is D.

D/sin 60 = 34.9857/sin 100.7

D=30.83 miles

Therefore, the location of the tug boat relative to the port will be 30.83 miles.

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which algebraic experssion is a difference with two term

Answers

Answer:

ok

Step-by-step explanation:

" a difference " means subtract

5y - 7......u have 2 terms (5y and 7)...and it is the difference of 2 terms.

so ur answer is : 5y - 7

pls mark me as brilliant

Help just one question can you show steps

Answers

this is the answer hope this will help u

Plzzz help !!!!!! Plzzzz

Answers

Where is the question?

4 cm
1
1
1
1
1
4 cm
/
5 cm
What is the volume of the solid?

Answers

Answer:

I don't know what you are asking.

What is the absolute value of 9?

Answers

Answer:

the absolute value of 9 is 9

the absolute value of a number is the number w/o a negative sign, 9 dosent have a negatics sign so the absolute value of 9 is 9

Please Help Me!!!!!!!
20. What is the least amount of principal you can invest at an 8% interest rate to earn at least $1000 in interest in 3 years?(Round your answer to the nearest dollar.)
A. $240
B. $5167
C. $20000
D. $4167
E. $6367
F. cannot be determined

Answers

cannot be determined is the answer.

Answer:

F. cannot be determined

Step-by-step explanation:

not enough information

An emu that measures 22 inches in height is 14 inches less than 2 times the height of a stuffed toy canary. What is the height of the stuffed toy canary? Jesus thinks the height of the canary is 18 inches. Is this true or false?

Answers

Answer:  The height of the stuffed toy canary is 18 inches so Jesus is right.

Step-by-step explanation:

We can represent the first statement by the equation  22= 2x - 14    where x is the height of the stuffed toy canary  so solve for x

22 = 2x -14   Add 14 to both sides

+14          +14

36 = 2x       Divide both sides by 2

x = 18  

Jesus is right.

The cost C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?

Answers

Answer:

20=n

Step-by-step explanation:

Take 385 and subtract 85. You get 300. Divide 300 by 15n. You get 20.

20=n

If you want to double check, replace n with 20 so the equation is

C=(15x20)+85

Hope I help!

7. Solve: 33 +21 + 3 - 5

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Step 1:

33 + 21 + 3 - 5

Step 2:

54 + 3 - 5

Step 3:

57 - 5

Answer:

52

Hope This Helps :)

Given the graph, find the distance of GH. Round to the nearest tenth.

Answers

Answer:

GH = 6.3 units

Step-by-step explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

Distance between G and H = [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] G(-2, -3) = (x_1, y_1) [/tex]

[tex] H(0, 3) = (x_2, y_2) [/tex]

[tex] GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2} [/tex]

[tex] GH = \sqrt{(2)^2 + (6)^2} [/tex]

[tex] GH = \sqrt{4 + 36} = \sqrt{40} [/tex]

[tex] GH = 6.3 units [/tex] (nearest tenth)

2[( 62 -52) + 4]
Need help

Answers

Answer:

28

Step-by-step explanation: USE PEDMAS  

2[(62-52)+4] = 2[(10)+4]= 2[14]=28

-2(4n-8) helphelphelp

Answers

Answer:

-8n+16. You can also put 16-8n

-8n+16 might be your answer :)

Find the slope of the line passing through the points P (2,5) and Q (8,2)

Answers

The slope in this case would be -3/6

Evaluate 3^2 + (6-2)x4-6/3

Answers

Answer:

23

Step-by-step explanation:

9+4x4-2

9+16-2

9+16-2

23

Answer:

23

Step-by-step explanation:

3 ^ 2 = 9

6 - 2 = 4

4 * 4 = 16

16 + 9 = 25

6/3/ = 2

25 - 2 = 23

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