Solve equations with variables on both sides 6 - x = 5x + 30

Answers

Answer 1
6-x=5x+30
+x. +x
6=6x+30
-30. -30
-24=6x
X=-4
The answer is -4
Answer 2

The solution to the equation 6 - x = 5x + 30 is x = -4.

We have,

To solve the equation 6 - x = 5x + 30, we can start by bringing all the variables to one side and the constants to the other side of the equation. Here's the step-by-step solution:

Start with the equation: 6 - x = 5x + 30.

To eliminate the variable terms on the right side, subtract 5x from both sides of the equation:

(6 - x) - 5x = 5x + 30 - 5x.

Simplifying the left side gives: 6 - x - 5x = 30.

Combining like terms on the left side yields: 6 - 6x = 30.

Now, isolate the term with the variable.

Move the constant term (6) to the right side by subtracting it from both sides of the equation:

6 - 6x - 6 = 30 - 6.

Simplifying both sides gives: -6x = 24.

To solve for x, divide both sides of the equation by -6:

(-6x) / -6 = 24 / -6.

Simplifying gives: x = -4.

Therefore,

The solution to the equation 6 - x = 5x + 30 is x = -4.

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Related Questions

write 0.63 repeating as a fraction in simplest form​

Answers

Answer:

2

Step-by-step explanation:

8=

Answer:

63/100 (the simplest form)

Step-by-step explanation:

1. Covert decimal into fraction:

0.63 = 63/100

2. Simplify (1 is the greatest common divisor of 63 and 100. The result can't be further reduced):

63/100

Please help! I think they domain is [-5,-1) u [1,5) but I’m not sure about the range.

Answers

Domain is [-5, -1) u [1,5)
Range is (0,4)

HELP ME PLS ILL MARK AS BRAINLESS

Answers

Answer:

A. 10:2, simplifies to 5:1

B. 2:6, simplifies to 1;3

C. 5 cars there are 3 trucks

D. Motorcycle

Step-by-step explanation:

please answer a and c pwease

Answers

Answer:

Let's identify what we know and what we are looking for. To start off, the question states that there is a flat rate of 500. This is the y intercept, because you start off with 500. It also states that it charges a fee of 50 per hour, which is your slope. So what we have now is y=50x+500. We know that A is asking how much it will be for 20 hours. We simply plug 20 into x, so we do y=50(20)+500 which gives 1500. For C, we repeat the same step and just plug in 50.

3
John has 18 pounds of pet food and is going to separate it into pound portions. How many portions of pet food will he
have?

Answers

Answer:16

Step-by-step explanation:18- 3=16

Answer= 16 because that is the right so yea

Jessica reads aloud from science website. She comes across the mesurement 0.32 meter. How shouls she read this mesurement aloud? Explain how you know

Answers

Answer:

zero point three two meter

Step-by-step explanation:

Given

[tex]Measurement = 0.32\ meter[/tex]

Required

How should it be pronounced

From the measurement above, we can see that it contains a decimal point.

Using the rules of decimal point,

The number before the decimal point will be treated as 1 number and will be pronounced as such.

While numbers after the decimal will be treated as individual digits and will be pronounced individually.

Hence, the pronunciation of 0.32 meter is zero point three two meter

Answer: zero and thirty two hundredths. Some strategies are ( expanded form , a place value chart , word form , fraction expanded form i hope this helped i did this today in my class!

Which of the following coordinate planes shows the graph of the function y-3=-2(x+2)?

Answers

Answer:

-5=x

Step-by-step explanation:

3=-2 (x+2)

-2 (x+2) = -2x-4

3=-2x-4

-4 from 3 and -4

= -7=-2x

do the opposite "-2 to +2 "

=-5=x

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

The answer is 5 cups...

Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)

Answers

Answer:

(5,4)

Step-by-step explanation:

[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)[/tex]

Answer:

(5,4)

Step-by-step explanation:

1.) 1
2. 4
3. 5
4. 3

Answers

Answer:

4. 3

Step-by-step explanation:

If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.

You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.

Hope that helps :)

Find the slope please

Answers

Answer:

m= 1 / -3

Step-by-step explanation:

You have to use the formula

m =  

y2 - y1

x2 - x1

plug-in all you numbers

m=

 4 - 3

- 1 - 2

40 POINTS HELP ME! I NEED HELP WITH THIS !!

Answers

Answer:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

Step-by-step explanation:

PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!

Answers

Answer:

-2

Step-by-step explanation:

its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2

Which is equivalent to 2.3(-2x + 9.1) + 9(3.4x - 8)?
A. 26x - 51.07
B. 26x + 92.93
C. 35.2x - 51.07
D. 35.2x + 92.93

Answers

The answer is a I did the math trust me

Help me please I need help with this

Answers

Answer:

A

You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.

4.048 divided by 0.88​

Answers

Answer:

4.6

Step-by-step explanation:

source; calculator .com

Answer:

0.528

Step-by-step explanation:

if you do the math youll get 0.528

Write the equation of a line that is perpendicular to y=2/7x +9 and that passes through the point (4,-6).

Answers

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

m is the slope y is the intercept

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

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

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Help!! Its a photo but I need help on it quick!!! Ty if you help me!

Answers

Answer:

36

Step-by-step explanation:

the answer should be 36

Which step contains an error?
A.) Step 2
B.) Step 4
C.) Step 6
D.) Step 8

Answers

It’s step 6. They said 1+cos(theta) it’s supposed to be 1-cos(theta)

Step 6 contains an error. Option C is correct

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The incorrect step is;

[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

The correct step is;

[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.

Hence, option C is correct

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1
Find the slope of the following graph and write your result in the empty box.
Answer:

Answers

Answer:

y = 2x

Step-by-step explanation:

Slope = [tex]\frac{y}{x} =\frac{2}{1}[/tex]

triangle ABC is shown in the diagram. The links of the sides are in terms of the variable n, where n >4. complete the inquality

Answers

9514 1404 393

Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

a+b > c   ⇒   3n+3 > 3n-2 . . . always trueb+c > a   ⇒   4n+1 > 2n   ⇒   n > -1/2c+a > b   ⇒   5n-2 > n+3   ⇒   n > 5/4

That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.

Answer:

M- B     M-A      M-C

Step-by-step explanation:

yw

If a coffee bar sells on average 12 ounces of coffee every three minutes during the busy morning hours, how many gallons of coffee do they sell in 4 hours?

Answers

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

Find the measure of the indicated angle to the nearest degree.
A. 40
B. 57
C. 33
D. 50

Answers

Answer:

50(Option D)

Step-by-step explanation:

Trigonometry

Inverse trig for this

So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan

tan^-1(56/47)

We get 49.993744 and so on

So rounded to the nearest degree, that is 50.

Find all the numbers such that one-third of the number is at most five.

Answers

x=30
10=10
checking:
1/3(30)=1/2(30)-5

PLEASE HELP. I need an answer by Nov 5

Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4

M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality

Answers

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

What is the Addition Property of Equality?

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

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Adriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes will Adriana need to order so that everyone receives an invitation?

Answers

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]

or

x = 19

So, she will need approx 19 boxes.

Write a linear function with the values f(0) = 5 and f(-3) = 6

Answers

Answer:

You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:

y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)

y - 6 = ( -9 / 3 ) (x - 0)

y - 6 = -3x

y = -3x + 6 This is: y = mx+b

Step-by-step explanation:

hope this will help you..

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

The given functions are:

f(0)  =  5

f(-3)  =  6

That is, x₁ = 0,  y₁ = 5, x₂ = -3, y₂ = 6

The slope of the linear function is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]

The equation of a line is given as:

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

[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

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What is the value of y in the equation 2(4y - 1) = 6? (4 points)​

Answers

8y-2=6

8y=8

y=1

The value of the y is 1.

Write an expression for the sequence of operations described below.
j times the product of 4 and 7

Answers

J times the product of 4 and 7:

J(4x7)

Answer:

28j

Step-by-step explanation:

4 times 7=28

28 times j= 28j

Find the quotient: (16x + 24x2) = 2x

Answers

Answer:

48x=2x

Step-by-step explanation:

im big brain can i get brainilest

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