Three times a number decreased by the sum of seven times the number and 12 is equal to twice the difference of the number and 3

Answers

Answer 1

Answer:

x = -1

Step-by-step explanation:

3x - (7x +12) = 2(x - 3)

3x - 7x - 12 = 2x - 6

-4x - 12 = 2x - 6

-12 = 6x - 6

-6 = 6x

x = -1

Check:

-1(3) - (-1(7) + 12) = 2(-1 - 3)

-3 - (-7 + 12) = -2 - 6

-3 - (5) = -2 - 6

-8 = -8

correct!

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K


Related Questions

simplify 2 root 3 + 3 root 3 - 4 root 3​

Answers

Answer:

√ 3

Step-by-step explanation:

2√3 + 3√ 3 - 4√ 3

5√3 - 4√ 3

1√3

=> √ 3

Answer:

→ 2√3 + 3√3 - 4√3

= (2+3-4)√3

= (5-4)√3

= √3

Therefore, √3 is the right answer.

Complete the pattern 13, 14, 16, 19, 23, ______.

Answers

Answer:

28

Step-by-step explanation:

it is increasing by 5 then 6,7,8,9...

Answer:

28

Step-by-step explanation:

Multiply / Divide Radical Expressions
i need help please.

Answers

Answer:

2 with the sqaure root of 12 is = 6.9     simp =  6.9

4 with the sqaure root of 10 is = 12.6    simp= 12.6

sum = 19.5

I hoped this helped! :)

If I started at 7:20 and ended at 8:07 how much times is that?

Answers

Answer:

47 minutes

Step-by-step explanation:

The answer would be 47 minutes

if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each should we combine to get 40 gallons of 5% concentrate solution​

Answers

Answer:

30 gallons solution 4% and 10 gallons solution 8%

Step-by-step explanation:

x•4%+y•8%=40•5%

4x+8y=40•5 and x+y=40

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)

=> x=40-10=30 (gallons solution 4%)

30 gallons solution 4% and 10 gallons solution 8%

what is the commutative property in x+3y
PLEASE ANSWER QUICKLY

Answers

Answer:

3y+x

Step-by-step explanation:

commutative property :

a+b=b+a

Similarly:

x+3y=3y+x

Answer:

[tex]we \: know \: that \: commutative \: \\ prop \: is \: x + y = y + x \\ so \: x + 3y = 3y + x \\ \\ thank \: you[/tex]

if x=1+3i ,y=x-i find the value of x^2-y^2​

Answers

Answer:

Step-by-step explanation:

x = 1 + 3i

x^2 = (1 + 3i)(1 + 3i)

f: 1 * 1 = 1o: 1 * 3i = 3ii:  3i * 1 = 31L: = 3i * 3i = 9i^2 = - 9

x^2 = 1 + 6i - 9 = -8 + 6i

By a similar method

y = (x - i)

y^2 = x^2 - 2i*x + i^2

y^2 = x^2 - 2ix - 1

y^2 = -8+6i - 2i(1 + 3i) -1

y^2 = -8+6i -2i - 6i - 1

y^2 = -8 - 2i - 1

y^2 = - 9 - 2i

x^2 - y^2 = -8 + 6i - (9 - 2i)

x^2 - y^2 = -8 + 6i - 9 + 2i

x^2 - y^2 = -17 + 8i

What is the equation of the line that passes through the point (-2,5) and has a
slope of -4?

Answers

Answer:

[tex]\boxed {\boxed {\sf y= -4x -3}}[/tex]

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

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

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).

m= -4 x₁= -2 y₁ = 5

Substitute the values into the formula.

[tex]y-5 = -4 (x--2)[/tex]

[tex]y-5 = -4 (x+2)[/tex]

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

[tex]y-5=( -4 *x ) + (-4* 2 )[/tex]

[tex]y-5 =(-4x)+ (-8)\\y-5= -4x -8[/tex]

5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.

[tex]y-5 =-4x -8 + 5[/tex]

[tex]y= -4x -3[/tex]

The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.

|2x+9|>10=5 Please help ASAP

Answers

Simplifying

2x + 9 + -10 = -5

Reorder the terms:

9 + -10 + 2x = -5

Combine like terms: 9 + -10 = -1

-1 + 2x = -5

Solving

-1 + 2x = -5

Solving for variable 'x'.

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

Add '1' to each side of the equation.

-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0

0 + 2x = -5 + 1

2x = -5 + 1

Combine like terms: -5 + 1 = -4

2x = -4

Divide each side by '2'.

x = -2

Simplifying

x = -2

I hope it helps you

Chen rode his skateboard 3 3/4 miles in of 3/4 an hour. What was his average speed in miles per hour?

Answers

Answer:

5

Step-by-step explanation:

Dont ask why i think its 5 mph

It would be 1 1/4 miles per hour.

There are 8 cupcakes on a plate. Five children will share them equally. How many cupcakes will each child receive? Represent the scenario three ways:
With math vocabulary, as an expression, and as a fraction.

Answers

Answer:

Each child will receive eight fifths of the cupcakes.

5x=8 ; x represents how many cupcakes each child receives.

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

There are 8 cupcakes in total.

5 children.

Divide 8 by 5. [tex]\frac{8}{5}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

Quadrilateral ABCD is a rectangle. What is the length of AC?

Select the best answer from the choices provided.
A.14
B.17
C.25
D.31

Answers

Answer:

option c is correct answer

How many solutions does the system have?
5y = 152 – 40
y = 3r – 8

Answers

the system has one solution
there is one solution

12 bars of chocolate costs $3.00 . What is the cost of each chocolate bar? ​

Answers

Answer:

$0.25

Step-by-step explanation:

Divide the cost by the amount.

[tex]\frac{3}{12}=0.25[/tex]

Therefore, the cost of each chocolate bar is $0.25.

Solve for x: 4x + 1/2 (2x + 4) > 12
( 9th grade Algebra 1)

Answers

Answer:

x > 2

Step-by-step explanation:

Distribute and cross-simplify 1/2 with parenthesis

4x + x + 2 > 12

Solve left side

5x + 2 > 12

Subtract 2 from both sides

5x > 10

Divide both sides by 5

x > 2

Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 4 hours, what is the rate of the slower car?

Answers

Answer:

Let speed of slower car be xkm/h

Therefore rate of other car=x+20 km/h

After 4 hrs ,

Distance covered by Car A=4x

Distance covered by Car B=4x+80

4x+4x+80=760km

8x=680

x=45

The rate of the slower car=45km/h

Find the value of k. please help

Answers

Answer:

k=57

Step-by-step explanation:

-k+15=k-99(vertically opposite angles)

k=57

Opposite angles are equal

[tex]\\ \rm\longmapsto -k+15=k-99[/tex]

[tex]\\ \rm\longmapsto -k-k=-99-15[/tex]

[tex]\\ \rm\longmapsto -2k=-114[/tex]

[tex]\\ \rm\longmapsto 2k=114[/tex]

[tex]\\ \rm\longmapsto k=\dfrac{114}{2}[/tex]

[tex]\\ \rm\longmapsto k=57[/tex]

NEED HELP ASAP will give BRAINLIEST :)

Answers

10a+4+14a-2=14a+31
Add the common variables
24a+4-2=14a+31
24a+2=14a+31
Subract 2 from each side
Subract 14a from each side
Then divide each side by 10
A=-2.9

A= -3.7

10. The triangle has a perimeter of 23 feet. Find the value of x.
x ft
(x + 3) ft
3x ft.

Answers

Answer:

x = 4

Step-by-step explanation:

3x + x + (x + 3) = 23 feet

3x + x + x = 20 feet

5x = 20 feet

x = 20/5

x = 4

what is this pls help me​

Answers

A (-2,6)

B (7,3)

C (0,4)

You just have to move them in that direction and that's the answer

someone help me with this question please​

Answers

Answer:

is there an equation we are suppose to use?

Step-by-step explanation:

Solve for x please will mark brainliest

Answers

Answer:

[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]

Find the are of the shaded region

Answers

16 - area is the space inside so there are 4x4 so there are 16 squares

Answer:

16 units squared

Step-by-step explanation:

shape: square (ALL equal sides)

length: 4

width: 4

4 X 4 = 16

A patient is to take 4 2/3 tablespoons of medicine per day in 4 equally divided doses. How much medicine is to be taken in each dose?

Answers

Answer:

1 1/6

Step-by-step explanation:

4 2/3 ÷ 4

Convert the mixed number into an improper fraction:

4 2/3 = 14/3

14/3 ÷ 4

14/3 ÷ 4/1

Use cdf (copy dot flip)

14/3 × 1/4

14 × 1 / 3 × 4

14/12

Convert improper fraction into a mixed number:

14/12 = 1 2/12

1 1/6

(x-3)/(-3) = 27 /3 - x

Answers

Answer:

X= 12

Step-by-step explanation:

Divide 27/3= 9

Multiply 3 from both sides: x-3/-3 * 3 = 9 *3- x  * 3

Simplify: -(x-3) =27-x*3

2x=24

Divide 2 from both sides: 2x/2= 24/2

x=12

Pls I need help! Multiple choice question

Answers

Answer:

D is right answer

You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the​ boxes, about how tall will the stack be?

Answers

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

Explain how to do order of operations. Use an example

Answers

Answer:

First, solve what is in the parentheses of the function. Next, solve the exponents. This includes normal exponents, negative exponents, square roots, cube roots, etc. After that, multiply and divide, and finally, add and subtract the remaining equation.

why is this simplified by combining like terms
3(4x+5) +2

Answers

3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17

help me please????????

Answers

Answer:

c

Step-by-step explanation:

Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.

Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.

For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.

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