All categories

3 years ago

Make x the subject of y=x/3

2 answers:

6 0

This question just asks to represent this equation in respect to x, meaning we want x on one side and everything else on the other.

Our only step to do so is to multiple both sides by 3, getting rid of the fraction x was trapped in, making it 3y=x

To make it easier to understand, we can just flip it and say x=3y, but both answers work.

lyudmila [28]3 years ago

4 0

This simply means moving everything possible thing off x and isolate it.

y=x/3

We see x is stuck with a divide by 3 so we need to get rid of that by multiplying by 3 on both sides.

y*3=x/3*3

switch left and right side and simplify

x=3y

Done! as simple as that.

You might be interested in

A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales repres

kati45 [8]

Answer:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : $y = mx+b$ . Where:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917$

So the line would be given by:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

8 0

3 years ago

If you are buying at item at a store for a price of $52, and there is a 6% tax added on top, what would be the total amount due

serious [3.7K]

With tax it would be $55.12

7 0

4 years ago

Please help me !!!!!!!!!!!!!!!!!!

Vitek1552 [10]

Answer:

11.27

Step-by-step explanation:

8 0

3 years ago

To mix weed killer with water correctly, it is necessary to mix 18 teaspoons of weed killer with 3 gallons of water. How many ga

spin [16.1K]

We know that you need 18 teaspoons of weed killer and 3 gallons of water. We can represent this as a fraction as 18/3. We can simplify this fraction. 18/3 simplified is 6/1. Next, we can multiply the numerator and denominator by 4. (6*4 is 24.) This gives us 24/4. This means that for 24 teaspoons of weed killer, we need 4 gallons of water.

3 0

3 years ago

The temperature Rose 4 degrees each hour for 3 hours what was the total change in the temperature?

ozzi

12 degrees change in temp.

4 0

3 years ago