What is the solution set of the equation
x + 6 = 2(x + 3) - x?

Answers

Answer 1

Answer:

x = all real numbers

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

x + 6 = 2(x + 3) - x

Step 2: Solve for x

[Addition Property of Equality] Add x on both sides:                                     2x + 6 = 2(x + 3)[Distributive Property] Distribute 2:                                                                 2x + 6 = 2x + 6

Here we see that both sides are identical.

∴ our solution is all real numbers.


Related Questions

What is the domain of the relation
graphed below?

Answers

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

wala muna akung ma explantion hahah sore

There are 4 000 people at a concert. 70% of these bought their tickets in advance. How many people at the concert bought tickets in advance?

Answers

2,800 is the answer because u multiple 70 percent times 4,000

As per linear equation, the number of people who bought ticket in advance is 2800.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

Given, the number of people is 4000.

70% of the people bought ticket in advance.

Therefore, the number of people who bought ticket in advance is

[tex]= \frac{4000(70)}{100}\\ = 2800[/tex]

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Pleaseee HELP ASAP !!!

Answers

Your answer is going to be b

Answer:

A: (x-5.5)^2 + (y-4)^2=12.25

Step-by-step explanation:

help meee it's pythagorean theorem, just need answers plsssssss

Answers

Answer:

Hi, there your answer is C or D and the second page is C

Step-by-step explanation:

Which are correct representations of the inequality –3(2x-5) <5(2 - x)? Select two options.
u x<5
. -6x-5 < 10 - X
0 -6x + 15 <10 - 5x
-3
--2
-1
0
2
3
5
to
6
7
-7
1-6
-5
-3 -2 -1 0
2
3

Answers

Answer:

Step-by-step explanation:

-6 and up going left

A hotel room is originally priced at $159.00 per night during the week (Monday-Thursday). On weekends (Friday - Sunday), the price increases by 12%. What is the price of a hotel room on a Saturday night?

Answers

I’m not sure but $19.08

Given m || n, find the value of x and y

Answers

Step-by-step explanation:

5x-6+7x+18=180

12x=180+6-18

12x=168

168÷12=14

X=14

for y

3y+11=7x+18(7×14+18)

3y+11=116

3y=116-11

3y=105

y= 35

enlarge the triangle by a scale factor of -1.5 with centre of englargement (3,6)

Answers

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

How to enlarge a triangle on a Cartesian plane by rigid transformation

In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]            (1)

Where:

O(x, y) - Center of enlargementk - Scale factorP(x, y) - Original pointP'(x, y) - Resulting point

If we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:

A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]

A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)

A'(x, y) = (3, 6) + (3, - 3)

A'(x, y) = (6, 3)

B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]

B'(x, y) = (3, 6) + (- 1.5) · (0, 2)

B'(x, y) = (3, 6) + (0, - 3)

B'(x, y) = (3, 3)

C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]

C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)

C'(x, y) = (3, 6) + (3, - 6)

C'(x, y) = (6, 0)

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

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A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube, Find the length of a diagonal d in a cube that has an edge of length 10 meters. ​

Answers

d = 17.3 m

Step-by-step explanation:

We can extend Pythagorean theorem to 3 dimensions by writing

[tex] {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} [/tex]

or

[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]

Since we are dealing with a cube of side 10 m, then

x = y = z = 10 m

so we get

[tex]d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } [/tex]

or

[tex]d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m[/tex]

This becomes

d = 17.3 m

What is the slope of the line shown?

Answers

The answer should be 1/2

Answer:

The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.

Step-by-step explanation:

8 less than a number x is more than 5 times that same number.

Answers

Answer:

x < -1/2

Step-by-step explanation:

x - 8 > 5x

-8 > 5x -x

-8 > 4x

Divide through by 8

-1/2 > x or x < -1/2.

That is ofcourse if I interpreted the first part correctly.

A delivery service tells you it will deliver your package to a customer for a flat fee of $7.50,
plus $0.28 per mile from your business to the customer's location. The customer is located
53 miles from your business. What will it cost you to use the delivery service?

Answers

0.28*53+7.50=22.34 dollars

round 0.982 to 2 decimal places

Answers

Answer:

0.98

Step-by-step explanation:

0.982,0.98()2 (round up if 5+ down 4-) 0.98

The number 0.982 rounded of to two decimal places will be 0.98.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

The digit 5 acts as a limit.

if the right-sided digit to the digit where we've to round off is < 5, we keep it the same and make all right-sided values 0, and if the right-sided digit is > 5, then we make it increase by 1, and the rest of the right-sided digits become 0. If the digit on right is 5, and after it, there are only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

Since the given number is 0.982, and in this number the thousandth place is taken by 2, therefore, the number when rounded off will be equal to 0.98.

Hence, the number 0.982 rounded of to two decimal places will be 0.98.

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please help find x!!

Answers

Answer:

X= 360- (180+35)

X= 145

Step-by-step explanation:

since angle at a point is same as angle in a circle =360°

And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point

Put these numbers in order from least to greatest.

1/5, 0.78,0.71, and 0.63

Answers

Answer:

1/5, 0.63, 0.71, 0.78

Step-by-step explanation:

1/5 = 0.2

1/5, 0.63, 0.71, 0.78

Sara invests $4000 at 7.2% annual interest compounded monthly. Find the final amount of Sara's investment after 15 years. *

Answers

Answer:

$8,711.99

Step-by-step explanation:

The formula for calculating the compound interest in expressed as;

A =P(1+r/n)^nt

Principal P = $4000

r is the rate = 7.2% = 0.072

t is the time = 15years

n = 1/12

Substitute

A = 4000(1+0.072(1/12))^15/12

A = 4000(1+0.072(12))^1.25

A = 4000(1+0.864)^1.25

A = 4000(1.864)^1.25

A = 4000(2.1779)

A = 8,711.99

Hence the final investment after 15years is $8,711.99

What is the factored form of the following expression? 25x^2 + 70x+ 49​

Answers

Answer:

( 5x + 7 ) ²

Step-by-step explanation:

25 x ² + 70 x + 49

Identity Used

(a + b) ² = a ² + 2 ab + b ²

= 25 x ² + 35 x + 35 x + 49

= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)

= ( 5x + 7 )

More to know about Algebraic Identities :-

➛ (a + b)² = a² + 2ab + b²➛ (a - b)² = a² - 2ab + b²➛ a² - b² = (a +b) (a-b)➛ (x + a) (x + b) = x² + (a + b) x + ab➛ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac➛ (a + b)³ = a³ + b³ + 3ab (a + b)➛ (a - b)³ = a³ - b³ - 3ab (a + b)➛ a³ + b³ + c³ = 3abc (If a + b + c = 0)➛ a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)

Answer:

(5x + 7)2.

The expression is in the form a2x2 + 2abx + b2, where a = 5 and b = 7.

Thus, it can be factored as a perfect square trinomial.

What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63

Answers

Answer:

0.78

used a calculator

It was would be C- 0.78 ❤️

The sum of a number is
4 less then 2 times a
number is 35 what is the number?

Answers

Answer:

21.5

Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inverse

Find the area of a regular Heptagon with a side length of 7?

Answers

Answer:

[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]

HELP ME WITH THIS ILL MAEK U THE BRAINLIEST

Answers

Answer:

Maria answers 85% of the questions correctly

Step-by-step explanation:

Maria had a test with 20 questions

if 17 are correct,

20 questions : 100%

17 questions : ?%

she  was 85% right

hope this helps :)

Answer:

E. 85%

Step-by-step explanation:

Total Answers: 17 + 3 = 20

Maria answered 17 questions correctly

(17 ÷ 20)×100 = 85%

find the value of 3x=1/9

Answers

The answer above me is correct good luck

Easy
1/6 x 1/2x 1/3
help me ( ̄▽ ̄)╭

Answers

Answer:  1/36

======================================================

Explanation:

The numbers up top are 1,1,1. They multiply to 1*1*1 = 1. So that means 1 is the numerator of the answer.

The numbers down below are 6,2,3. They multiply to 6*2*3 = 36. This is in the denominator for the answer.

That means (1/6)*(1/2)*(1/3) = 1/36

The rule I used is (a/b)*(c/d) = (a*c)/(b*d)

Answer:

1/36

Step-by-step explanation:

Step 1:

1/6 · 1/2 · 1/3       Equation

Step 2:

1/6 · 1/6          Multiply

Answer:

1/36

Hope This Helps :)

what is 55 degrees in radian measure as a multiple of pi

Answers

To change degrees to radian we have to use a rule :

Rad=degree/180/π

Rad = 55/180/π

Final answer:

Rad= (11/36)π [this answer is In pi]

Rad= 0.96 [this answers is the simplified version]

The CUBE ROOT of a number is -1. What is the number? *

Answers

Answer:

The number is -1

Answer:

i

Step-by-step explanation:

make q subject in formula
t=q/2 + 5

Answers

Answer:

[tex] q = 2(t - 5) [/tex]

Step-by-step explanation:

[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]

hope this helps you.

Have a nice day!

Answer:

2 ( t - 5 ) = q

Step-by-step explanation:

t = q/2 + 5

subtract 5 from both side

t - 5 = q / 2 + 5 - 5t - 5 = q / 2

multiply each side by 2.

2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = q

The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in

Answers

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

Find the slope of the line that passes through (10, 4) and (6, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4

Step-by-step explanation:

The given points son the line are; (10, 4), and (6, 3)

The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, the slope of the found line is given as follows;

(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)

[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]

The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4

Select all of the following that are equivalent to 1/10,000

A (10,000)^-1
B(-10,000)
C(100)^-2
D(10)^-4
E(-10)^2

Answers

D.( 10 )^-4

This is the answer of your question

hope it is helpful to you

The correct answer is D

I need answer for number 8 please no links and the right answer thank youuu

Answers

Answer:

y = 2/5x - 4

Step-by-step explanation:

y = mx+b  where m is the slope and b is the y intercept

y = 2/5x - 4

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