All categories

4 years ago

Solve for x 2(3x-4)=4(1/2x-8)

Mathematics

1 answer:

Leona [35]4 years ago

7 0

Answer:

x = -6

Step-by-step explanation:

Solve for x:

2 (3 x - 4) = 4 (x/2 - 8)

Put each term in x/2 - 8 over the common denominator 2: x/2 - 8 = x/2 - 16/2:

2 (3 x - 4) = 4 x/2 - 16/2

x/2 - 16/2 = (x - 16)/2:

2 (3 x - 4) = 4 (x - 16)/2

4/2 = (2×2)/2 = 2:

2 (3 x - 4) = 2 (x - 16)

Divide both sides by 2:

3 x - 4 = x - 16

Subtract x from both sides:

(3 x - x) - 4 = (x - x) - 16

3 x - x = 2 x:

2 x - 4 = (x - x) - 16

x - x = 0:

2 x - 4 = -16

Add 4 to both sides:

2 x + (4 - 4) = 4 - 16

4 - 4 = 0:

2 x = 4 - 16

4 - 16 = -12:

2 x = -12

Divide both sides of 2 x = -12 by 2:

(2 x)/2 = (-12)/2

2/2 = 1:

x = (-12)/2

The gcd of -12 and 2 is 2, so (-12)/2 = (2 (-6))/(2×1) = 2/2×-6 = -6:

Answer: x = -6

You might be interested in

Find DEC pls give through explanation

galina1969 [7]

$\large{\rm{\underline{\underline{Answer:}}}}$

Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,

⇛ Angle AEB = Angle DEC

⇛ 9x + 8° = 3x + 42°

⇛ 9x - 3x = 42° - 8°

⇛ 6x = 34°

⇛ x = (34/6)°

To find: Angle DEC = 3(

34/6 °) + 42° = 59° (Ans)

3 0

3 years ago

Find the length x…..

gavmur [86]

Answer:

x = 4

Step-by-step explanation:

6 : 4.5 = 4 : 3

x : 3 = 4: 3

x= 4

4 0

2 years ago

What is the volume of the pyramid?

Maurinko [17]

Answer:16cm^3

Step-by-step explanation:

height=3

Length of base edge=4cm

Area of base= length x length

Area of base=4x4=16

Volume =1/3 x base area x height

Volume=1/3 x 16 x 3

Volume =(1x16x3) ➗ 3

volume=48 ➗ 3

Volume=16

Volume =16cm^3

6 0

4 years ago

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to

katen-ka-za [31]

Answer:

- 0.7

Step-by-step explanation:

We are given the general quadratic formula, as " $x = -b \frac{+}{-} \sqrt{(b^2-4ac)} / 2a$ . " This can be represented by two separate formula's, which will come in handy when determining the positive and negative roots of the equation ( and here we need the negative root ):

1 ) $x = - b+ ( \sqrt{b^2-4ac} ) / 2a$ ,

2 ) $x = - b- ( \sqrt{b^2-4ac} ) / 2a$

We know that a = 1, b = - 5, and c = - 4 from the equation " $0 = x^2 - 5x - 4$ " ( which can be rewritten in the form $0 = ax^2 + bx + c$ ). Therefore, simply plug in these values into the quadratic formula to receive two solutions:

$x = 5 + ( \sqrt{( - 5 )^2 - 4( 1 )( - 4 )} ) / 2( 1 ),\\x = 5 + ( \sqrt{25 + 16} ) / 2,\\x = 5 + \sqrt{41} / 2,\\x = ( About ) 5.7$ - This is our positive solution

__________

$x = 5 - ( \sqrt{( - 5 )^2 - 4( 1 )( - 4 )} ) / 2( 1 ),\\x = 5 - ( \sqrt{25 + 16} ) / 2,\\x = 5 - \sqrt{41} / 2,\\x = ( About ) - 0.7$ - And this is our negative solution

You can see that - 0.7 is the negative real number solution to Joline's quadratic equation!

4 0

3 years ago

Percy paid 24.10 for a basketball. The price of the basketball was 22.99. what is the sales tax rate

blondinia [14]

$1.11 is the sales tax rate

6 0

4 years ago

Read 2 more answers