Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y
The price of the stock of PEV Corporation varies as shown. we have to determine the net charge. Net change is just how much it changed overall, so we will look for all the ups minus all the downs.
Here, "went up" goes with a + sign, and "went down" goes with a - sign.
So, Net charge = 
= 
= 
= 
LCM of 2,3 and 10 is 30
= 
= 
= 
So, the net charge is
Answer: x = 1, y = - 5
Step-by-step explanation:
The given system of linear equations is expressed as
x - 2y = 11- - - - - - - - - - - - -1
- x + 6y = - 31- - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- 2y + 6y = 11 - 31
4y = - 20
Dividing the the left hand side and the right hand side of the equation by 4, it becomes
4y/4 = - 20/4
y = - 5
Substituting y = - 5 into equation 1, it becomes
x - 2 × - 5 = 11
x + 10 = 11
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
x + 10 - 10 = 11 - 10
x = 1
The greatest commons factors are for 12 is 1,2,3,4,6,12 because 2 × 6 = 12, or 4 × 3 = 12, or 1 × 12 = 12 hope that help!
2(m-n^2)-6(n^2+3m)
=2m-2n^2-6n^2+18m
=20m-8n^2
Done ✅ Hope it helps
