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VMariaS [17]
3 years ago
5

4 times a number less than 6 is 8 more than twice that number. find the number.

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
First, let's break the worded equation up into two parts:

- "<span>4 times a number less than 6'

This is 4 * (6-x)

- "</span><span>8 more than twice that number"

This is 2x+8


Now combine these two expressions:

</span>4 * (6-x) =  2x+8

4 * (6-x) = 2 * (x+4) 

2 * (6-x) = x+4

12-2x = x+4

-3x = -8

x = 8/3


If you have any questions, please leave it in the comment section below.

Hope this helps!
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2 years ago
Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
notka56 [123]

Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

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⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

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⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~\text{ TheAnimeGirl}

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3 years ago
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