All categories

3 years ago

Solve the proportion for x. When applicable, simplify all radicals and show all of your work. 3/x=x/4

1 answer:

3 0

To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as shown below.

$\frac{3}{x} = \frac{x}{4}$
$4(3) = x(x)$
$12 = x^{2}$

From this, we can see that the solutions for the equation are the positive and negative roots of 12.

Simplifying the radical, we have

√12 = √(2² x 3) = 2√3

Thus, we have

$x = \pm 2\sqrt3$

You might be interested in

if about 32,834.5 kilobytes of memory is still available how many more pictures can they take if you have only taken 43 pictures

oksano4ka [1.4K]

That will depend, you have to ask yourself first how many kilobytes one picture is. Let's just say that the size of one picture is 100 kb (which is the average size of a picture) Then first you multiply 100 kb with the number of pictures which is 43. Now you have a total used up memory of 4300 kb. After that, you minus the used up memory which is 4300 kb, to the total available space which is 32,834.5 and you will get an available space of 28534.5 kb. After that, you divide the remaining available space with the size of each picture. So this will be 28534.5 divided by 100. You will get 285. You can still take 285 pictures.

5 0

3 years ago

I need help solving

Misha Larkins [42]

It took about 5.3 hours

8 0

3 years ago

To solve work problems, find the portion of the job each person completes in 1 unit of time. The sum of these portions is the po

Gwar [14]

Answer:

4.8 minutes

Step-by-step explanation:

Using the given hint, working together, the amount of floor mopped in 1 minute is ...

1/8 + 1/12 = 3/24 +2/24 = 5/24 . . . . jobs/minute

The reciprocal of that is the rate in terms of minutes per job. Thus the entire job takes 24/5 = 4.8 minutes.

6 0

4 years ago

There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot

Degger [83]

The number of bottles in a full box is 12.

Explanation

Suppose, the number of bottles in a full box is $x$

So, the number of bottles in three full boxes $=3x$

Now, two more boxes are added, both of which have one fewer bottle than the other three. So, the number of bottles in these two boxes $= 2(x-1)$

As there were 9 bottles initially and now there are 67 bottles in the fridge, so the equation will be....

$9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12$

Thus, the number of bottles in a full box is 12.

7 0

4 years ago

For example, Let's say I am graphing a proportional relationship even If it doesn't go through origin and it is an equivalent ra

Lostsunrise [7]

A proportional relationship is described by the equation

... y = k·x

The point (x, y) = (0, 0) is always a solution to this equation.

_____

In short, if the relationship is proportional, its graph will go through the origin. If the graph does not go through the origin, the relationship is not proportional.

___

Note that this is true if the domain includes the origin. You can have y = kx for x > 10 and the graph will not go through the origin because the function is not defined there.

6 0

3 years ago