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Kobotan [32]
3 years ago
10

Solve for x: 4(x + 4) = 6(x - 2) O A. x = 9 B. x = 14 O C. x = 8 D. x = 1

Mathematics
2 answers:
ad-work [718]3 years ago
5 0

Answer: 14 = x

Step-by-step explanation: Start by distributing through the parenthses

on each side of the equation to get 4x + 16 = 6x - 12.

Now move your x's to the right and numbers

to the left and you get 28 = 2x.

Divide both sides by 2 and 14 = x.

BigorU [14]3 years ago
4 0

Answer:

x = 14

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

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

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   4x + 16 = 6x - 12
  2. Subtract 4x on both sides:         16 = 2x - 12
  3. Add 12 on both sides:                28 = 2x
  4. Divide 2 on both sides:              14 = x
  5. Rewrite:                                       x = 14

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(14 + 4) = 6(14 - 2)
  2. Add/Subtract:               4(18) = 6(12)
  3. Multiply:                        72 = 72

And we have our final answer!

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If he put 10 in the bowl and there are 150 cards, the chance for him to win would be 10/150.
now by simplifying it, you get 1/15.
therefore answer is C
5 0
3 years ago
I need help now pleaseeee
Klio2033 [76]

Answer:

y=75° (opposite angle of parallelogramare equal)

x+8=16(opposite sides are equal)

x=16-8

x=8

8 0
3 years ago
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Write the prime factorization of each number in exponential notation
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8 0
2 years ago
Solve the system:<br> 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19
Aleksandr-060686 [28]

Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

x + 3y = 5

Make x the subject of formula

x = 5 - 3y

Substitute 5 - 3y for x in equation 1

5.5(5 - 3y) - 7.5y = 3.5

27.5 - 16.5y - 7.5y = 3.5

27.5 - 24y = 3.5

Collect like terms

-24y = 3.5 - 27.5

-24y = -24

Divide through by - 24

y = 1

Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

3 0
3 years ago
Will mark bianleast
Leni [432]

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

Positive number: Right or Up

8 0
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