If 3 (x + 2) – 2(x + 1) = 8
what is the value of x

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

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

Answer:

The angle would be 123°.

Answer:

Supplementary and Linear Pair

Step-by-step explanation:

The angles 1 and 2 form 180 degrees. That is the definition of a Supplementary Angle and Linear Pair.

Answer:

Wouldn’t y be 4 and x be 1?

Answer:

Y = -1X + 5

Step-by-step explanation:

I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.

Hope this helps! Let me know!

*the figure is shown in the attachment

Answer/Step-by-step explanation:

Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.

Find the value of n by creating an equation to solve for n:

XY = (9n + 12) ft

XZ = (15n - 6) ft

XY = XZ (2 equal lengths of isosceles ∆)

9n + 12 = 15n - 6 (substitution)

Combine like terms

9n - 15n = - 12 - 6

-6n = -18

Divide both sides by -6

-6n/-6 = -18/-6

n = 3

Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.

XY = (9(3) + 12) ft

XY = (27 + 12) ft

XY = 39 ft

Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.

XZ = (15(3) - 6) ft

XZ = (45 - 6) ft

XZ = 39 ft

Answer:

1st box: 3

2nd box: 39

3rd box: 39

Have a great day, remember to wear a mask! :)

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

Answer:

r=32/7

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)

1/2r+3/2r+-2=1/4r+6

(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)

2r+-2=1/4r+6

2r-2=1/4r+6

Step 2: Subtract 1/4r from both sides.

2r-2-1/4r=14r+6-14r

7/4r-2=6

Step 3: Add 2 to both sides.

7/4r-2+2=6+2

7/4r=8

Step 4: Multiply both sides by 4/7.

(4/7)*(7/4r)=(4/7)*(8)

r=32/7

Answer: r=32/7

hope this helps :)

Answer:

3V/l divide h

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

V = 1/3 lwh

The value of w is 3V/lh

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

V = 1/3 lwh

Multiply 3 on both sides.

3V = lwh

Divide both sides by lh.

3V / lh = w

w = 3V/lh

Thus,

V = 1/3 lwh

The value of w is 3V/lh

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

formula to solve

Step-by-step explanation:

Regular Weekly Pay = Hourly Wage x Hours Worked

Overtime Weekly Pay = Hourly Wage x 1.5 x Overtime Hours

Overtime Hours = The amount of hours worked above-and-beyond 40

hours. If you worked 55 hours in a week, your overtime hours would

be 15.

Total Weekly Pay = Regular Weekly Pay + Overtime Weekly Pay

Total Salary = Weekly Pay x Work Weeks per Year

Example: If you earn $8.35 per hour, work 50 weeks a year, and

average 50 hours/week:

Regular Weekly Pay = 8.35 x 40 = $334

Overtime Weekly Pay = 8.35 x 1.5 x 10 = $125.25

Total Weekly Pay = $334 + $125.25 = $459.25

Total Salary = $459.25 x 50 = $22,962.50

Answer:

7y=14x+3 is your answer

Answer:

[tex]\boxed {x = \sqrt{3} - 3}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x^2 + 6x + 6 = 0[/tex]

-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

-Multiply both [tex]-4[/tex] and [tex]6[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

-Add [tex]34[/tex] and [tex]-24[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

-Take the square root of [tex]12[/tex]:

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

-Divide  [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)

-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)

Answer:

286.1

Step-by-step explanation:

2 km = 2000 m

2 min = 250 m -> 125 m in 1 min

4 min = 1000 m -> 250 m in 1 min

1 min = 350 m -> 350 m in 1 min

3 min = 400 m (the rest) -> 133.33 m in 1 min

To get the average you add up all 3 and divide by 3

So: 125 + 250 + 350 + 133.33 = 858.33

858.33/3 = 286.11

So rounded its 286.1

Answer: No real solutions.

Step-by-step explanation:

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

Answer:

The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,

Step-by-step explanation:

Answer:

0.2686

Step-by-step explanation:

It's basically just 34 times 79 lol

Answer:

0.2686

Step-by-step explanation:

Answer:

C.

That is the closest answer since 8 times 10 6 times gets you 8 million.

Step-by-step explanation:

Answer:

C. 8×10⁶

Step-by-step explanation:

8,406,000 to nearest million is 8,000,000

8,406,000 = 8.406 × 10⁶

8,000,000 = 8 × 10⁶

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

61.2

Step-by-step explanation:

the first option is the correct answer

Answer:

2 ≤y+3 <6

Step-by-step explanation:

y+3 ≥2  and y+3 <6

Let y+3 = x

x ≥2  and x <6

2 ≤x and x<6

2 ≤x <6

Replace x with y+3

2 ≤y+3 <6

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

Answer:

13

Step-by-step explanation:

The square root of 169 is 13

Answer:

The first one is 64

and for the second one i cant really see it, but it should be 4 radical 10

Answer:

x = 2

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis

A line parallel to it must also be a vertical line with equation

x = c ( c is a constant )

The only equation of this form is

x = 2 ← parallel to x = 4

a. 6x2

b. 2x3

c. 5x2

d. 4x2

e. 5x1

Answer:

3 3/7

Step-by-step explanation:

8/1 divided by 2 1/3 = 8/1 x 3/7

8/1 x 3/7 = 24/7

24/7 = 3 3/7