All categories

3 years ago

2( 4x + 2) = 4x - 12(x-1)

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

$x=\frac{1}{2}$

Step-by-step explanation:

distribute 2 into (4x+2) and -12 into (x-1)

8x+4=4x-12x+12

combine like terms

8x+4=-8x+12

add -8x on both sides

8x+8x+4=12

16x+4=12

subtract 4 on both sides

16x=8

divide both sides by 16

x=1/2

hope this helps

You might be interested in

Simplify the expression: 42 + 8 ÷ 2.

igor_vitrenko [27]

Your final answer is 25

4 0

3 years ago

the first group of students consists of 10 and their average age was 13 years old the next group consisted of 30 students and th

Kazeer [188]

Answer: The average was 9 years old find the average age of both groups is 10 years old.

Step-by-step explanation:

Formula foe average : $\text{Average} =\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$

Given : The first group of students consists of 10 and their average age was 13 years old.

i.e. $13=\dfrac{\text{Sum of ages of students of first group}}{10}\\\\\Rightarrow\ \text{Sum of ages of students of first group}=13\times10=130$ (1)

The next group consisted of 30 students and their average was 9 years old.

i.e. $9=\dfrac{\text{Sum of ages of students of next group}}{30}\\\\\Rightarrow\ \text{Sum of ages of students of nextgroup}=9\times30=270$ (2)

Then from (1) and (2) , the sum of both groups (first group and next group )students = 130+270 =400

Combined students of both groups (first and next group )= 10+30=40

Now , the average of both groups = $\dfrac{\text{Sum of combined students}}{\text{combined students}}$

$=\dfrac{400}{40}=10$

Hence, the average was 9 years old find the average age of both groups is 10 years old.

4 0

3 years ago

A researcher surveyed people as they left a museum, asking whether they visited the gift shop and whether they watched the film

BARSIC [14]

Hey there!

P(y) = 0.46

P(x) = 0.49

P(y') = 0.54

P(x') = 0.51

P(y and x') = 0

x = person that watched the film

y = person that visited the gift shop

P(y and x') / P(x')

0.1 / 0.51 = 0.196

Now convert that into a percentage!

0.196 = 19.6%

Your answer is 19.6%

Hope I helped!

Let me know if you need anything else!

~ Zoe

5 0

3 years ago

In the data set below, what is the mean absolute deviation? 43 25 43 30 55 10 81 If the answer is a decimal, round it to the nea

Fudgin [204]

Answer:

16.6

Step-by-step explanation:

5 0

3 years ago

What is 5 cubed in exponential form, expanded form, and standard form

Art [367]

5 cubed

Exponential form = 5³
Expanded form = 5 × 5 × 5
Standard form = 125

5 cubed is an exponent and when you solve it, you multiply the base itself how many ever times it says in the power.

4 0

3 years ago

2( 4x + 2) = 4x - 12(x-1)​

2( 4x + 2) = 4x - 12(x-1)