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svetlana [45]
4 years ago
13

Solve the following inequality. Then place the correct answer in the box provided. 2x < 8 If someone could please explain it

as well then I would be much obliged! Oh and by the way giving a few points as well!
Mathematics
2 answers:
Tanya [424]4 years ago
8 0
When solving an inequality, the rules are similar to solving an equation, but instead there's an inequality sign. The only thing to be careful about when solving an inequality is that when you multiply/divide by a negative number, you have to flip the inequality sign, but you don't have to worry about that here!

So you have 2x < 8.

Divide both sides by 2 to isolate the variable, x:
2x \ \textless \  8\\&#10;x \ \textless \  4

Your final inequality is x < 4.
Licemer1 [7]4 years ago
4 0

Answer:

The value of x is x< 4.

Step-by-step explanation:

Consider the provided inequality.

2x < 8

We need to solve the above inequality for x.

Divide both the sides by 2.

\frac{2x}{2} < \frac{8}{2}

x< 4

Hence, the value of x is less than 4.

Therefore, the value of x is x< 4.

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Step-by-step explanation:

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3 years ago
A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro
Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

3 0
3 years ago
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog hou
Gnoma [55]

Answer:

49.8 ft²

Step-by-step explanation:

the picture in the attached figure

given:

a=3,  b=1   c=1.8

To know the surface area:

surface area of the figure=surface area of cube+surface area of triangular prism

first lets find out the area of cube and triangular prism.

surface area of cube=4*a²

surface area of cube= 4*3² => 36  ft²

surface area of triangular prism=2*[a*c]+2*[a*b/2]  = 2*[3*1.8]+[3*1]

surface area of triangular prism=10.8 +3  = >  13.8 ft²

Therefore,  surface area of the figure=36 ft²+13.8  ft²

surface area of the figure= 49.8 ft²

the answer is:

49.8 ft²

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3 years ago
Ada got a new puppy for Christmas. She went to the pet store to buy the
kondaur [170]

Answer:

Hope it helps you.

5 0
2 years ago
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