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2 years ago

Find the value of x in the equation 2(x + 2) =6x.

2 answers:

7 0

Okay, this is the solution:

First you multiply the number 2 by everything contained in the bracket as shown below

2(x) + 2(2) =6x
2x + 4 = 6x

Next you group the like terms together that is, the x's by sending 2x to the other side of the = sign

4= 6x - 2x

Now that the like terms are grouped, we can now proceed to any arithmetic left ( -, +,...)

4= 4x

Finally we can find the x value by eliminating the 4 next to it through division as follows

4/4 = 4x/4

When the cancellation is done we will have our answer

x = 1/1
x = 1

Vinil7 [7]2 years ago

4 0

2 (x+2) =6x
2x +4=6x
2x = 6x -4
2x -6x =-4
- 4x = -4
x = -4/-4
Thus, x=1

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What is 5 3/4 subtracted by 5/8

svet-max [94.6K]

Answer:

$5\frac{1}{8}$

Step-by-step explanation:

5 3/4 = 23/4

(23/4)2 = 46/8

46/8 - 5/8 = 41/8 = 5 1/8

7 0

2 years ago

Solve -6 = b/2 a.12 b.3 c. -3 d. -12

Anon25 [30]

I hope this helps you

-6.2= b

b= -12

7 0

2 years ago

Find the point that is 1/5 the way from A to B where A(-7,4) and B(3, 10).

mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B is $(x,y) = (-5,\frac{26}{5})$

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4

⇒ AM : MB = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

$(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2} )$

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

$(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4} )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} ) = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )$

Hence, the coordinates of the point that is 1/5 the way

from A to B is $(x,y) = (-5,\frac{26}{5})$

5 0

3 years ago

hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters

sergij07 [2.7K]

The word in the problem that indicates is a negative number is “descend”

8 0

3 years ago

Read 2 more answers

How do you simplify this equation

dezoksy [38]

$\bf \cfrac{\quad2-\frac{4}{x+2} \quad }{5+\frac{10}{x+2}}\implies \cfrac{\stackrel{LCD~of~x+2}{\frac{2(x+2)-4}{x+2}}}{\stackrel{LCD~of~x+2}{\frac{5(x+2)+10}{x+2}}}\implies \cfrac{\stackrel{distributing}{\frac{2x+4-4}{x+2}}}{\stackrel{distributing}{\frac{5x+10+10}{x+2}}}\implies \cfrac{\quad\frac{2x}{x+2} \quad }{\frac{5x+20}{x+2}} \\\\\\ \cfrac{2x}{\underline{x+2}}\cdot \cfrac{\underline{x+2}}{5x+20}\implies \cfrac{2x}{5x+20}\implies \cfrac{2x}{5(x+4)}$

4 0

2 years ago