All categories

3 years ago

Solve ; 7/x-3/2x+7/6=9/x

Mathematics

1 answer:

german3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

7/x - 3/(2x) + 7/6 = 9/x

x(7/x - 3/(2x) + 7/6) = x(9x)

x*7/x - 3*x/(2x) + x*7/6 = x*9x

7 - 3/2 + 7x/6 = 9

7x/6 = 9 - 7 + 3/2

7x/6 = 2 + 3/2

7x/6 = 12/6 + 9/6

7x = 12+9

7x = 21

x = 21/7

x = 3

probe:

7/3 - 3/(2*3) + 7/6 = 9/3

14/6 - 3/6 + 7/6 = 3

(14 - 3 + 7) / 6 = 3

18/6 = 3

You might be interested in

16x-15-9x=13 how do I solve for x

dangina [55]

Add two like terms: 16x+(-9x)=7x
Add 15 to both sides: 7x=28
Divide 7 on both sides: x=4

7 0

3 years ago

The average density of the material in intergalactic space is approximately 2.5 × 10–27 kg/m3. what is the volume of a lead samp

Lesechka [4]

Answer:

e. $1.8\times 10^{-6}m^3$

Step-by-step explanation:

It is given that,

The density of intergalactic space material is $2.5 \times 10^{-27}$ kg per cubic meter.

And the volume of intergalactic space material is $8.0\times 10^{24} m^3$

So the mass of that much intergalactic space material is,

$m= \rho\times v$ , where 'm' is the mass, and 'v' is the volume.

Putting the values we get,

$m=2.5 \times 10^{-27}\times 8.0 \times 10^{24}$

$m=20\times 10^{(-27+24)}=20\times 10^{-3} kg$

It is also given that the mass of lead is the same as the mass of the intergalactic space material. Therefore, the mass of lead is $20 \times 10^{-3}=2 \times 10^{-2}kg$

So the volume of lead is,

$v=\frac{m}{\rho} =\frac{2 \times 10^{-2}}{11300} = 0.00000177 m^3$

$v=1.77 \times 10^{-6}=1.8\times 10^{-6}m^3$

So the volume of lead is $v=1.8\times 10^{-6}m^3$ .

3 0

4 years ago

What is 12/39 in simplest form

Genrish500 [490]

If you would like to know what is 12/39 in simplest form, you can calculate this using the following step:

12/39 simplifies to 4/13 (the common factor of 12 and 39 is 3, so you can divide both numbers by 3).

The result is 4/13.

8 0

3 years ago

Read 2 more answers

5) Using the terms "input" and "output" and the definition of a function, explain why this relationship is or is

Aleks [24]

Answer:

This relationship is a function

Step-by-step explanation:

While a function may not have two output values (y) assigned to the same input value (x), it may have two input values (x) assigned to the output value (y).

The table follows that rule

6 0

3 years ago

A transformation is applied to the smaller triangle, A, to

Sergio039 [100]

Answer: dilation

Step-by-step explanation:

8 0

3 years ago