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3 years ago

How would you solve 7w+12-2w=-3?

Mathematics

1 answer:

Igoryamba3 years ago

8 0

Answer:

Step-by-step explanation:

Collect all variables in one side and numbers on the other side

7w-2w=-3-12

5w=-15

W=-15/5=-3

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the answer is 34 degrees

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What is 2,034,627 rounded to the nearest ten thousand

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2,034,627

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2 years ago

Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...

MrMuchimi

Answer:

$-13x-23$

Step-by-step explanation:

Given sequence: $x-9, -x-11, -3x-13$

Therefore,

$a_1=x-9$
$a_2=-x-11$
$a_3=-3x-13$

General form of an arithmetic sequence: $a_n=a+(n-1)d$

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

$\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}$

Therefore,

$a_n & =(x-9)+(n-1)(-2x-2)$

To find the 6th term, input n = 6 into the equation:

$\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}$

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2 years ago

Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79

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2 years ago

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Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be

drek231 [11]

Answer:

Step-by-step explanation:

<h3>Solving linear equation with one variable:</h3>

1) -4 + 3x = 4x - 8

Add 4 to both sides

-4 + 3x + 4 = 4x - 8 + 4

3x = 4x - 4

Subtract 4x from both sides,

3x - 4x = -4x + 4x - 4

-x = -4

$\sf \boxed{\bf x = 4}$

2) -5x - 8 = 2

Add 8 to both sides

-5x - 8 + 8 = 2 + 8

-5x = 10

Divide both sides by (-5)

$\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}$

$\sf \boxed{\bf x = -2}$

3) 12r - 14 = 5(2-r)

12r - 14 = 5*2 - 5*r

12r - 14 = 10 - 5r

Add 14 to both sides

12r - 14 + 14 = 10 - 5r + 14

12r = 24 - 5r

Add 5r to both sides

12r + 5r = 24

17r = 24

Divide both sides by 17

r = 24/17

4) 3x - 8 = -(17 + 2x)

3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

3x = -9 - 2x

Add 2x to both sides

3x + 2x = -9

5x = -9

Divide both sides by 5

$\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}$

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1 year ago

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