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

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

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).

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.

Answer:

30 gallons solution 4% and 10 gallons solution 8%

Step-by-step explanation:

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%

Answer:

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

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

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!

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]

Answer:

D is right answer

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! :)

Answer:

16 units squared

Step-by-step explanation:

shape: square (ALL equal sides)

length: 4

width: 4

4 X 4 = 16

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.

Answer:

is there an equation we are suppose to use?

Step-by-step explanation:

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

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

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.

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.

Answer:

Step-by-step explanation:

x = 1 + 3i

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

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

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.

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]

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

Answer:

5

Step-by-step explanation:

Dont ask why i think its 5 mph

Answer:

option c is correct answer

A (-2,6)

B (7,3)

C (0,4)

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

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

Answer:

47 minutes

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

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

Answer:

28

Step-by-step explanation: