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elixir [45]
4 years ago
7

12(x-2)+3x=1/2(x+6) +2

Mathematics
2 answers:
jeka944 years ago
8 0

Answer:

X = 2

Step-by-step explanation:

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

12(x−2)+3x=1/2(x+6)+2

Step 1: Simplify both sides of the equation.

12(x−2)+3x=1/2(x+6)+2

(12)(x)+(12)(−2)+3x=(1/2)(x)+(1/2)(6)+2(Distribute)

12x+−24+3x=1/2x+3+2

15x+−24=1/2x+5

15x−24=1/2x+5

Step 2: Subtract 1/2x from both sides.

15x−24−1/2x=1/2x+5−1/2x

\frac{29}{2}x−24=5

Step 3: Add 24 to both sides.

\frac{29}{2}x−24+24=5+24

\frac{29}{2}x = 29

Step 4: Multiply both sides by 2/29.

(\frac{29}{2})*(\frac{29}{2}x)=(\frac{29}{2})*(29)

x = 2

garri49 [273]4 years ago
6 0

Answer: I think your answer is 2 ( please let me know if this is wrong ) !

Step-by-step explanation:

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Lisa ate 1/3 of pizza. Kate ate 4/12 of same pizza. What fraction did they eat altogether
sukhopar [10]
Its 2/3 because after finding the lcd  you find its the same number in the question 
8 0
3 years ago
Identify the area of a regular pentagon with side length 15 cm rounded to the nearest tenth. NEED HELP ASAP
n200080 [17]

Answer:

I believe the answer to be 387.11

Step-by-step explanation:

A=1/4√5(5+2√5) a°2=1/4√5•(5+2•√5)•15°2=387.10742 cm°2

Rounded= 387.11

8 0
2 years ago
The sum of three consecutive even integers is −246. Find the three integers.
Karolina [17]

Answer:

-83, -82, and -81

Step-by-step explanation:

Step 1: Declare your variable

Let x represent the largest of the 3 consecutive integer

Integer 1: x

Integer 2: x + 1

Integer 3: x + 2

Step 2: Create an equation

(x) + (x + 1) + (x + 2) = -246

Step 3: Solve

x + x + 1 + x + 2 = -246

3x + 3 = -246

3x = -249

\frac{3x}{3}=\frac{-249}{3}

x = -83

FInd the other 2 numbers

Integer 1: -83

Integer 2: -82

Integer 3: -81

Step 4: Therefore Statement

Therefore the 3 consecutive numbers are -83, -82, and -81

3 0
3 years ago
What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.
spin [16.1K]
Y - 1 = m(x - 1) . . . (1)
y = mx - m + 1 . . . (2)

From(2), -m + 1 = 2 => m = 1 - 2 = -1

Substituting for m in (1), we have:
y - 1 = -(x - 1) . . . (3)

Equation of a line in general form is given by ax + by = c

From (3), y - 1 = -x + 1
x + y = 1 + 1

Therefore, required equation is x + y = 2.
4 0
3 years ago
Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3. Which geometry concept
andreyandreev [35.5K]

In this question, angle 5 and angle 2 are linear pair. And angles of linear pair are supplementary angles .

Therefore

\angle 5 + \angle 2=180

And sum of interior angles of a triangle is 180 degree, that is

\angle 1 + \angle 2 + \angle 3 =180

SInce both the equations have 180 in the right side, left side of both equations are equal too . That is

\angle 5 + \angle 2 = \angle 1 + \angle 2 + \angle 3

Which gives

\angle 5=\angle 1 + \angle 3

So the correct option is A .

5 0
4 years ago
Read 2 more answers
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