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7nadin3 [17]
3 years ago
13

0=-20.5x+16.35x-0.1245

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0

The value of x in the given equation -20.5x+16.35x -0.1245 = 0\\ is 0.03

<u>Step-by-step explanation:</u>

The given equation is that -20.5x+16.35x -0.1245 = 0\\

<u>The steps to be followed to solve the equation are :</u>

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ (-20.5x+16.35x) - 0.1245 = 0

⇒ 4.15x-0.1245 = 0

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ 4.15x -0.1245+0.1245 = 0.1245

⇒ 4.15x = 0.1245

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒ 4.15x / 4.15 = 0.1245/4.15

⇒ x = 0.03

Therefore, the value of x is 0.03

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Step-by-step explanation:

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3 years ago
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If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
3 years ago
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Will give brainliest!!! hurry up and solve it plzz​
LuckyWell [14K]

Answer:

8

Step-by-step explanation:

we can say that AD is congruent to DC

so your equation for x is: 4x - 1 = 2x

solve this to get x = 0.5

plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF

4(0.5) - 1 = 1

hypotenuse: 1 x 2 = 2

since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,

4(0.5) + 1 = 3

In the diagram, it shows that the legs of triangle are congruent

this means that FE, ED, BA, and BC are all congruent

since we know FE is 3, we know that all the other sides are 3 as well

this means that the perimeter of the triangle is: leg + leg + hypotenuse

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the perimeter is 8

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2 years ago
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marysya [2.9K]

Answer:

\huge x >  \frac{7}{3}  \\

Step-by-step explanation:

8( \frac{1}{2} x -  \frac{1}{4} ) > 12 - 2x \\

<u>Expand the terms in the bracket</u>

That's

8( \frac{1}{2} x) - 8( \frac{1}{4} ) > 12 - 2x \\ 4x - 2 > 12 - 2x

Move -2x to the other side of the inequality

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<u>Move - 2 to the other side of the inequality</u>

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Divide both sides by 6

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We have the final answer as

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Hope this helps you

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Answer:

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Because the graph of the function does not move beyond 4 towards +∞.

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