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Stella [2.4K]
2 years ago
14

-1/2x + 6 < 4x - 3 i need to find the value of X with step-by-step explanation

Mathematics
2 answers:
Ray Of Light [21]2 years ago
8 0

Answer:

\boxed{\boxed{\tt x>2}}

Step-by-step explanation:

\tt -\cfrac{1}{2}x+6

<u>Subtract 6 from both sides:</u>

  • <u />\tt -\cfrac{1}{2}x+6-6<u />
  • <u />\tt -\cfrac{1}{2}x<u />

<u>Now, subtract 4x from both sides:</u>

  • <u />\tt -\cfrac{1}{2}x-4x<u />
  • <u />\tt -\cfrac{9}{2}x<u />

<u>Multiply both sides by -1:</u>

  • <u />\tt -\cfrac{9}{2}x\times -1<u />
  • <u />\tt \cfrac{9}{2}x>9<u />

<u>Multiply both sides by 2:</u>

  • <u />\tt 2\times \cfrac{9}{2}x>9\times \:2<u />
  • <u />\tt 9x>18<u />

<u>Divide both sides by 9:</u>

  • <u />\tt \cfrac{9x}{9}>\cfrac{18}{9}<u />
  • <u />\tt x>2<u />

<u>____________________________</u>

WITCHER [35]2 years ago
7 0

Answer:

x > 2

Step-by-step explanation:

-1/2x + 6 < 4x - 3

Start by adding 1/2x to both sides to get both x's on the same side

6 < 4 1/2x - 3

Add 3 to both sides to keep the x's by themselves on one side

9 < 4 1/2x

Divide both sides by 4 1/2 to get x by itself

2 < x  so x > 2

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insens350 [35]
ITS B. The range is the stuff in the right circle. So its 245
6 0
2 years ago
A park is 4 times as it is wide. If the distance around the park is 12.5 kilometers what is the area of the park
MaRussiya [10]

Answer:

6.25 km

Step-by-step explanation:

Here is the correct question: A park is 4 times as long as it is wide. If the distance around the park is 12.5 kilometers, what is the area of the park?

Given: Perimeter (Distance) of the park= 12.5 km

Considering park is in rectangular shape.  

Let the width of park be x

∴ as given length will be 4x.

Formula for perimeter of rectangle =2\times (length + width)

Perimeter is given 12.5 km

⇒ 12.5= 2\times (4x+x)

⇒ 12.5= 10x

∴ x= 1.25 km, which means width is 1.25 km and length is 5 km.

Now, finding the area of park

Formula; Area of rectangle= length\times width

∴ Area of rectangle= 5\times 1.25 = 6.25 km

∴Area of park will be 6.25 km.

6 0
3 years ago
Find the equation of the line<br> In the form y=mx+b
Aleonysh [2.5K]

Answer:

y = -1/3x + 5

Step-by-step explanation:

-1/3 is the slope because the line goes down 1 unit and right 3 units.

The y-intercept is 5 because that is where the line crosses the y-axis.

8 0
3 years ago
What is the value of x?<br> x = [ ? ]
Mnenie [13.5K]

Answer:

Step-by-step explanation:

The tangent to the angle makes an angle of 90° with the radius.

The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.

By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore

x = 60-30 = 30°.

4 0
3 years ago
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Ymorist [56]
65 full row of Apple trees
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3 years ago
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