Solve for x: 2 over 3 (x - 4) = 2x.

Answers

Answer 1

Answer: 2/3 (x - 4 ) = 2x

Simplify both sides of the equation.

2/3(x−4)=2x

Simplify:

2/3(x−4)=2x

(2/3)(x)+(2/3)(−4)=2x(Distribute)

2/3x+−8/3=2x

Subtract 2x from both sides.

2/3x+−8/3−2x=2x−2x

−4/3x+−8/3=0

Add 8/3 to both sides.

−4/3x+−8/3+8/3=0+8/3

−4/3x=8/3

Multiply both sides by 3/(-4).

(3/−4)*(−4/3x)=(3/−4)*(8/3)

x=−2

Answer 2

Answer:

The correct answer for the value of for the expression $(2)/(3)(x - 4) = 2x$ is

-2.

To solve for x in the equation:

$(2)/(3)(x - 4) = 2x$

First, distribute the $(2)/(3)$ to the terms inside the parentheses:

$(2)/(3) x - (2)/(3)*4 = 2x$

$(2)/(3) x - (8)/(3) = 2x$

Next, Isolate the terms with x on one side of the equation.

Subtract $(2)/(3)x$ term from both side of the equation:

$(2)/(3) x - (2)/(3) x-(8)/(3) = 2x-(2)/(3) x$

$(-8)/(3) = (4)/(3) x$

Now, Solve for x by multiplying both sides of the equation by the reciprocal of $(4)/(3)$ , which is $(3)/(4)$ :

$(-8)/(3) * (3)/(4)= (4x)/(3) * (3)/(4)$

$x= (-8)/(4)$

Simplify further:

$x = -2$

The solution of the equation $(2)/(3)(x - 4) = 2x$ is $x = -2$ .

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Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.

Answers

Answer: z-v/x-w

Step-by-step explanation: just did the test with this question and it’s right :)

Final answer:

Parallel lines have the same slopes.

Explanation:

The subject of this question is Mathematics as it involves calculating slopes using a formula.

Slope is calculated using the formula m = (v2 - v1) / (x2 - x1). When two lines are parallel, their slopes are equivalent, meaning that they have the same slope. This is because parallel lines have the same steepness or inclination.

For example, if Line A has a slope of 2 and Line B is parallel to Line A, then Line B will also have a slope of 2.

Learn more about Slope of parallel lines

suppose you have a 1/10 chance of winning with a scratch off lottery ticket if you buy 5 tickets what is the probability of winning with all five

Answers

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Let us assume that, A be the event of winning the lottery.

The probability of winning is,

P(A) = 1/10

Since, 5 tickets are bought,

The probability of winning all five can be given by formula $^nc_rp^r.q^(n-r)$

According to the given condition,

n=5 and r=5

Probability = $^5C_5(1/10)^5$ = (1/10)⁵

Therefore, the probability of winning all five = (1/10)⁵

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Answer:

$10^(-5)$

Step-by-step explanation:

Let us assume that, A be the event of winning the lottery.

The probability of winning is,

$P(A)=(1)/(10)$

You bought 5 tickets. Winning all the five lotteries will be,

$P(\text{A and }\text{A and }\text{A and }\text{A and }\text{A})=P(A)\cdot P(A)\cdot P(A)\cdot P(A)\cdot P(A)\n\n=(1)/(10)\cdot (1)/(10)\cdot(1)/(10)\cdot(1)/(10)\cdot(1)/(10)=(1)/(10^(5))=10^(-5)$

Find th equation of the line below.If necessary, use a slash to indicate a division bar..(2,14) (1,7)

Answers

$(2,14), \ \ (1,7)\n\n\n First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 7-14)/(1-2) = ( -7)/(-1)=7 \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1)) \n \nm=7, \ \ x_(1)=2, \ \ y_(1)=14\n\ny-14 =7(x-2)\n\ny = 7 x-14+14 \n\n y=7x$

General equation for line:
y=ax+b
Putting those points to equation:
(2,14)
14=a*2+b
(1,7)
7=a+b
From substituting method:
a=7-b
14=(7-b)*2+b
14=14-2b+b
b=0
a=7
y=7x - result

The near term needs of raising a family can affect one's ability to save for retirement.

Answers

What's the question

Answer: The answer is True

Step-by-step explanation:

What is the greatest possible error of the measurement?19.2 m

a. 9.6 m
b. 0.5 m
c. 0.05 m
d. 0.01 m

Answers

the answer is a.9.6

hope this helps :-)

I think it would be A. 9.6. I'm completely sure on that one.

The sum of three consecutive intergers is 174. What are the intergers?

Answers

I have no idea what intergers are.

If you were talking about integers (whole numbers) instead,
then you could make 174 with 57, 58, and 59 .

Let the middle integer = x.
That means we have (x-1) + x + (x+1) = 174
3x = 174
x = 58
x-1 = 57
x+1 = 59

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