One is negative and the other is positive and one has a whole number, and the other only has a decimal
<h2>(1, 4)</h2><h2 />
To solve this system by addition, notice that if we add these two equations together, neither one of our variables will cancel out.
In this situation, we need to set things up so that when we do add our two equations together, one of the variables will cancel out.
Notice that we have a 10x in our second equation. if we had a -10x in our first equation, then the x's would cancel out.
To create a -10x, we can multiply the top equation by -2 to get a -10x.
From there, rewriting our equation gives us -10x - 2y = -18.
Now the x's cancel. Just add the equations together
now to get the two-step equation -9y = -36.
Solving from here, <em>y = 4</em>.
Now plug y into either one of the equations
to find that x =1.
So our solution is (1,4).
Answer:

Step-by-step explanation:
Given
Let R represents rows and C represents Columns
When R = 8, C = 25
When R = 10, C = 20
Required
Given that there exist an inverse variation, determine the constant of proportionality;
We start by representing the variation;

Convert proportion to an equation

Where k is the constant of proportion;

Multiply both sides by C

Reorder

<em>When R = 8, C = 25;</em>
<em>The equation </em>
<em>becomes</em>


<em>When R = 10, C = 20;</em>
<em>The equation </em>
<em>becomes</em>


Hence, the concept of proportionality is 200
Answer:
The height of the tank in the picture is:
Step-by-step explanation:
First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:
- <em>1 liter = 1000 cm^3</em>
So:
- <em>1.2 liters = 1200 cm^3</em>
Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:
- Volume of a cube = long * wide * height
Now, we must clear the height because we know the volume (1200 cm^3):
Height = volume of a cube / (long * wide)
And we replace:
- Height = 1200 cm^3 / (12 cm * 8 cm)
- Height = 1200 cm^3 / (96 cm^2)
- Height = 12.5 cm
Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:
- Heigth of the tank = Height empty zone + height zone with water
- Heigth of the tank = 12.5 cm + 7 cm
- <u>Heigth of the tank = 19.5 cm</u>
In this form, <u>we calculate the height of the tank in 19.5 cm</u>.
Answer:
50 questions
Step-by-step explanation:
Given the following question:
92% of 50
To find the answer we have to use the formula to calculate percentage.



Which means in total there was "50 questions" on the test.
Hope this helps.