Ask question

Ask question

All categories

2 years ago

15

Solve for x: -4(3x − 2) = 6x + 2

2 answers:

loris [4]2 years ago

6 0

Answer:

$x=\frac{1}{3}$

Step-by-step explanation:

$\text{We're given the following:}\\-4(3x-2)=6x+2\\\\\text{First, let's distribute the -4:}\\-12x+8=6x+2\\+12x\qquad+12x\\\\\text{That gives us:}\\8=18x+2\\-2\qquad-2\\6=18x\\\\\text{Now divide both sides by 18:}\\\frac{6}{18}=x\\\\\text{And simplify the fraction:}\\x=\frac{1}{3}$

stepladder [879]2 years ago

4 0

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

You might be interested in

Divide. Round your answer to the nearest hundredth 1÷3

ipn [44]

Well your going to get 0.3333333333(the 3's are infinite) :D

8 0

3 years ago

Read 2 more answers

Which number is not equal to one of the following expressions?

DanielleElmas [232]

C: 703.5 is the answer

8 0

3 years ago

What is the value of x in 2(5x) = 14?

Ray Of Light [21]

Answer:

x= 7/5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac

Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

$20x+50y\leq 400$

Larry must purchase at least nine items.

$x+y\geq 9$

Check both inequalities of all given ordered pairs.

For (5,6),

$20(5)+50(6)\leq 400\Rightarrow 400\leq 400$

$5+6\geq 9\Rightarrow 16\geq 9$

Point (5,6) satisfy both inequalities.

For (10,4),

$20(10)+50(4)\leq 400\Rightarrow 400\leq 400$

$10+4\geq 9\Rightarrow 14\geq 9$

Point (10,4) satisfy both inequalities.

For (20,0),

$20(20)+50(0)\leq 400\Rightarrow 400\leq 400$

$20+0\geq 9\Rightarrow 20\geq 9$

Point (20,0) satisfy both inequalities.

For (15,2),

$20(15)+50(2)\leq 400\Rightarrow 400\leq 400$

$15+2\geq 9\Rightarrow 17\geq 9$

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0

3 years ago

Komok [63]

Answer:

Future amount (A) = $1,258.77 (Approx)

Step-by-step explanation:

Given:

Amount deposit (p) = $693

Rate of interest monthly (r) = 4.9% / 12 = 0.003833

Number of month (n) = 13 × 12 = 156

Find:

Future amount (A)

Computation:

$A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77$

Future amount (A) = $1,258.77 (Approx)

6 0

2 years ago