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skad [1K]
3 years ago
10

5 (2x – 1) –7 = 2 (x – 3)

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

Answer:

x−3=x−3

Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3

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Identify the slope and y-intercept of the<br> line!
marta [7]

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

Solution:

General form of equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

Equation of a line:

$y=\frac{1}{2} x-7

To compare this with general equation.

$m=\frac{1}{2}

c=-7

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

5 0
3 years ago
Your interest is $72, your principal is $600 and the rate is 4%. How much time will you need to pay off the loan?
hram777 [196]

Answer:

3 years

Step-by-step explanation:

A=P( 1+rt)

A= Total amount

P= Principal

r = yearly interest

t= time in year

672=600(1+0.04t). Distribute

672=600+600x0.04t

72= 24t

t= 3 years

8 0
3 years ago
Solve for e.<br> 0.75(8 + e) = 2 - 1.25e
timofeeve [1]

Answer:

e = -2

Step-by-step explanation:

Well to solve for e in the following equation,

.75(8 + e) = 2 - 1.25e

We need to distribute and use the communicative property to find <em>e</em>.

6 + .75e = 2 - 1.25e

-2 to both sides

4 + .75e = -1.25e

-.75 to both sides

4 = -2e

-2 to both sides

e = -2

<em>Thus,</em>

<em>e is -2.</em>

<em />

<em>Hope this helps :)</em>

3 0
3 years ago
Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor
LenKa [72]

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}

The mean of set of a is:

Mean=\dfrac{200+104+100+160}{4}

Mean=\dfrac{564}{4}

Mean=141

The mean of set of b is:

Mean=\dfrac{270+400+483+300+x}{5}

Mean=\dfrac{1453+x}{5}

Mean=\dfrac{1453+x}{5}

It is given that,

Mean of set a: mean of set b= 3:8

\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}

\dfrac{705}{1453+x}=\dfrac{3}{8}

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5640=4359&#10;+3x

Isolate the variable x.

5640-4359&#10;=3x

1281&#10;=3x

Divide both sides by 3.

\dfrac{1281}{3}&#10;=x

427&#10;=x

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3 0
3 years ago
O is the centroid. Find the value of x. (Sorry if u cant see the photo :/, but this is Geometry btw)
klemol [59]

Answer: x = 6

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

Explanation:

The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,

OP = 2*MO

and

MP = MO + OP

MP = MO + 2*MO .... replace OP with 2*MO

MP = 3*MO

9x-24 = 3*(x+4) ... plug in the given expressions

9x-24 = 3x+12

9x-3x = 12+24

6x = 36

x = 36/6

x = 6

8 0
4 years ago
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