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Ne4ueva [31]
2 years ago
6

How many solutions exist for the given equation? 3(x - 2) = 22 -x

Mathematics
2 answers:
alexgriva [62]2 years ago
7 0
There is only one solution because it is a linear equation.
3x - 6 = 22 - x
3x + x = 22 + 6
4x = 28
X = 7
Sveta_85 [38]2 years ago
6 0

Answer:

One solution

Step-by-step explanation:

The equation can be rewrite as 3x - 6 = 22 - x

so we try to get all the x on one side so we add x and 6 to both sides so we get 4x = 28 then we divide by 4 both side and get x=7

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Please help brainlist
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Answer:

B

Step-by-step explanation:

The answer is B because if a line goes through (0,0) then it is automatically proportional.

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3 years ago
At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the numbe
Reil [10]
You have to set up a system of equations

x+y=104
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Sodas = 78
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7 0
3 years ago
What is the sum 10 + (-10)
Marta_Voda [28]

Answer:

0

Step-by-step explanation:

because

k  c  r

10 + (-10)

10 - 10=0

8 0
3 years ago
Read 2 more answers
A building that is 150 m tall, 100 m wide, and 80 m deep has glass on all sides except the roof and the base.
Airida [17]

Answer:

C. 54,000 m^2

Step-by-step explanation:

2 sides + 2 more sides

2(150x100) + 2(150x80)

30000 + 24000

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3 0
3 years ago
An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0
3 years ago
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