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creativ13 [48]
3 years ago
11

What is 4(2×-7)+3(3×-1)=3(2-×)​

Mathematics
2 answers:
Mama L [17]3 years ago
8 0

Answer:

x=37/20

Step-by-step explanation:

4(2x-7)+3(3x-1)=3(2-x)

8x-28+9x-3=6-3x

17x+3x=6+31

20x=37

fenix001 [56]3 years ago
8 0

Answer:

x = \frac{71}{3}

Step-by-step explanation:

1. Simplify/distribute each side.

4(2)(-7)+3(3)(-1)=3(2-x)

4(2)(-7)+3(3)(-1)=(3)(2)+(3)(-x)

-56+-9=6+-3x

2. Flip the equation around.

-3x+6=-65

3. Subtract 6 to balance the equation.

-3x+6-6=-65-6

-3x=-71

4. Divide each side by 3. We know they are in the same fact family.

\frac{-3x}{-3} = \frac{-71}{3}

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Examine the graph of the logarithmic function f(x).
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The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

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4 years ago
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