4-7x=1-6x can someone please solve and show the work :)

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3


Related Questions

Can anyone help with number one?

Answers

|9x - 9| = 36

To solve for the first solution, simply disregard the absolute value signs.

9x - 9 = 36

Add 9 to both sides

9x = 45

Divide both sides by 9

x = 5

To find the second solution, disregard the absolute value signs and change 36 to -36

9x - 9 = -36

Add 9 to both sides

9x = -27

Divide both sides by 9

x = -3

Now, we need to find the sum of these two solutions.

5 + (-3) = 5 - 3 = 2

Given f(x) = 5x - 3, find f(-2).

Answers

Answer:

-13

Step-by-step explanation:

Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13

The answer would be-13

(4-5i)(-2+7i) what is the answer

Answers

Answer:

27 + 38 i

Explanation:

(4 - (5 * i)) * ((-2) + (7 * i)) =

Answer:

[tex] - 35 {i}^{2} + 10i + 20[/tex]

Step-by-step explanation:

-8 + 28 + 10i - 35i^2

-35i^2 + 10i + 20

Please help me. I have been struggling with prob and stats.

Answers

Answer:

Step-by-step explanation:10

67+k = 83
solve for k
no work needed

Answers

Answer:

k = 16

Step-by-step explanation:

Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Subtract 67 from both sides of the equation:

k + 67 = 83

k + 67 (-67) = 83 (-67)

k = 83 - 67

k = 16

16 is your answer for k.

~

Solve equation for y. 6=4x+9y

Answers

x= 1.5 + -2.25y sooooo yea

A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the vegetable patch?

Answers

Answer: 5 and 4

Step-by-step explanation:

Perimeter = 2 ( L + W)

18 = 2(L + W) divide through by 2

9 = L + W

9 - L = W

Area = L * W

20 = L (9 - L)

20 = 9L - L^2

L^2 - 9L + 20 = 0 factor

(L - 5) (L - 4) = 0

Set both factors to 0 and solve for L

L = 5 and L = 4

Etta buys some ribbon and cuts it into 5 pieces that are the same length. Each piece is 9 inches long. How long was the ribbon that Etta bought? The ribbon that Etta bought was inches long.

Answers

Answer:

The ribbion she bought is 45 inches long

Step-by-step explanation:

Answer:

about 45 inches

Step-by-step explanation:

Etta cut the ribbon into 5 peices that were each 9 inches long. Multiply those number and it should be about 45 inches.

C(-3,-1), Q(-2,3)
Find the distance between each pair of points

Answers

Answer:

The answer is

[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(-3,-1), Q(-2,3)

The distance between them is

[tex] |CQ| = \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2} } \\ = \sqrt{ ({ - 1})^{2} + ( { - 4})^{2} } \\ = \sqrt{1 + 16} \\ = \sqrt{17} \: \: \: \: \: \: \: \\ = 4.1231...[/tex]

We have the final answer as

[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]

Hope this helps you

4.2 units ! Is your answer

Pls Help me with ths question​

Answers

Answer:

Step-by-step explanation:

x=√(5+2√6)/(5-2√6)

x²(x-10)²=1

substitute the value of x in the equation

[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=

solve :

(49+20√6)(49-20√6)=1     multiply

1=1 proved

0= -5/4(x - 6/5) find the solution to x

Answers

Answer:

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Hint: | Put the fractions in x - 6/5 over a common denominator.

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

Hint: | Combine (5 x)/5 - 6/5 into a single fraction.

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

Hint: | Multiply all instances of -1 in -(-(5 x - 6)).

(-1)^2 = 1:

5 x - 6 = -4×0

Hint: | Any number times zero is zero.

0 (-4) = 0:

5 x - 6 = 0

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

Add 6 to both sides:

5 x + (6 - 6) = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

5 x = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

Hint: | Any nonzero number divided by itself is one.

5/5 = 1:

Answer: x = 6/5

6x – 3y = 36 find ySolve the equation below for y.

Answers

Answer:

y = 2x -12

Step-by-step explanation:

6x – 3y = 36

Subtract 6x from each side

6x-6x – 3y =-6x+ 36

-3y = -6x +36

Divide by -3

-3y/-3 = -6x/-3 +36/-3

y = 2x -12

Let f(x)=-3x and g(x) = 2x-1
Find the following: 4g(x) - f(x)

Answers

Answer:

11x-4

Step-by-step explanation:

f(x)=-3x

g(x) = 2x-1

4g(x) - f(x)

4(2x-1) - ( -3x)

Distribute

8x -4 +3x

Combine like terms

11x-4

Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).

Given,

f(x) = -3xg(x) = 2x - 1

Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.

[tex]4g(x) - f(x)[/tex]

[tex]4(2x - 1) - ( - 3x)[/tex]

Opening the parentheses,

[tex]8x - 4 + 3x[/tex]

Now combing the like terms, and adding them,

[tex]8x + 3x - 4[/tex]

[tex] \boxed{11x - 4}[/tex]

This is our final result.

#CarryOnLearning

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Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).

Answers

Answer:

Step-by-step explanation:

f(g(x))

g(x) = 7x -4

f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7

Reduce the fraction into simplest terms. 9/12

Answers

Answer:

3/4

Step-by-step explanation:

divided by 3 to get the answer.

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

9 can also be written as 3×3 & 12 can also be written as 3×4.

So if we gonna cancel out a 3 from 9 & 12 , then the remaining numbers in 9 & 12 will be 3 & 4.

[tex]\frac{9}{12}=\frac{3*3}{3*4} = \frac{3}{4}[/tex]

A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the​ width, what are its​ dimensions?

Answers

Answer:

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Step-by-step explanation:

Let

Width = 17 × width

Length = 8 × length

8l = 17w

l = 17w/8

Perimeter of a rectangular yard = 2(length + width)

400 = 2(17w/8 + w)

400 = 34w/8 + 2w

400 = 17/4w + 2w

400 = 17w+8w/4

400 = 25w/4

Cross product

1600 = 25w

Divide both sides by 25

w = 1600/25

= 64 feet

Recall,

l = 17w/8

= 17*64 / 8

= 1088/8

= 136 feet

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

how does slope affect a linear graph??

Answers

Answer:

With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.

hope this helps

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:45.. good luck:)

Step-by-step explanation:

It’s d .... you do length times width times height

PLZZ GIVE BRAINLIEST I NEED IT FOR MY NEXT RANK

Answer:

45

Step-by-step explanation:

If you just take the length (3)

and the width (5)

and multiply them it'll give you 15

then multiply that by the height(3)

and thats how you get 45!

-1 7/8 + -6 Help, please.

Answers

-7 7/8 is the answer.

geometry geometry geometry

Answers

Answer:

was only able to do #11

Step-by-step explanation:

Answer:

#12

Step-by-step explanation:

(-1,2), (-1,-5) can you solve this for me

Answers

Answer:

Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.

the slope would be x=-1 and it would be vertical

Determine the answer to (−5) + 4 and explain the steps using a number line.

Answers

Answer:

-1

Step-by-step explanation:

when adding on a number line you always go to the right.

-5+4=-1 , so you would move 4 places to the right on the number line.

(-5)+4
-5+4
-1

is the correct answer

(2x-5)/4=6 pls solve it!!

Answers

Answer:

ans is 29/2

Step-by-step explanation:

2x-5/4 =6

2x-=24+5

x= 29/2

Answer:

10

Step-by-step explanation:

(2x-5)/4=6

Or, 2x-5=24

Or, 2x=24+5

Or,2x=29

Or,x=29÷2

Or,x=14.5

A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. If necessary, round to two decimal places. Group of answer choices

Answers

Answer:

435.73 revolutions per minute

Step-by-step explanation:

Find the circumferance of the wheel.

27 times π which is 84.823 inches

divide that by 12 to get it into feet, 7.061 feet

Divide by 5280 to get that to miles, 0.001 miles

Divide 35 by 60 to get how many miles per minute the car travels, 0.583

Divide your miles per minute by the diameter of wheel

Your answer will be 435.73 Revolutions per Minute

Zack did 1/6 of his homework in 1/2 an hour. How much can he do in one hour

Answers

Answer:

1/3

Step-by-step explanation:

What is 0.007826 converted to scientific notation

Answers

7.826 x 10^-3 ( 10 to the negative 3rd power)

Answer:

7.826 • 10^-3

Step-by-step explanation:

the decimal is moved 3 places to the right in order for there to be a digit in the ones place

because decimal is moved right, the exponent must be negative

Shoes cost $60.00. Discount is 20%. Sales price is equal to?
$10
$20
$30
$40

Answers

Answer:

it is D ..................

Answer:

$40 is the sales price after a 20% discount.

(*Edited as the shoes are $50.00, not $60.00)

Step-by-step explanation:

When calculating discounts, we can convert the percentage to a decimal and multiply by the original sales price:

[tex]50(.20)[/tex]

Multiply.

[tex]50(.20)=10[/tex]

Subtract your product from the sales price.

[tex]50-10[/tex]

Subtract.

[tex]50-10=40[/tex]

Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth

Answers

Answer:

[tex]d = \sqrt{13}[/tex] or d = 3.61

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]

The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.

How to use distance formula?

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).

By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.

The coordinates of the given points are (-1, 6) and (2, 8).

Apply distance formula to get the distance as below,

Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59

Hence, the required distance between the two points is given as 3.59 units.

To know more about distance formula click on,

brainly.com/question/28956738

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what is the mathematical expression for the problem withdrawing $10 every week from an outstanding $400?

Answers

Answer:

40

Step-by-step explanation:

because if you do 400 divided by 10, it gives you 40

Suppose a class has 24 chairs,6 tables, and 2 teachers, what is the ratio of chairs to tables

Answers

Step-by-step explanation:

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.

Example: 3:5

The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.

24:6

Hope it helps!

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