Answer:
The value of the proportionality constant (y to x) is: 3/10
Step-by-step explanation:
We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.
i.e. y = kx
and k = y/x
Given the points
We know that the proportionality constant (y to x) is:
k = y/x
For the point (100, 30)
k = 30/100=3/10
For the point (300, 90)
k = 90/300=3/10
For the point (500, 150)
k = 150/500=3/10
As the value of proportionality constant (y to x) is the same.
i.e. k = 3/10
Thus, the value of the proportionality constant (y to x) is: 3/10
Answer:
10 and 14
Step-by-step explanation:
Let the first number be x and the second number be y, then
x + 18 = 2y → (1)
y + 16 = 3x → (2)
Rearrange (1) expressing x in terms of y by subtracting 18 from both sides
x = 2y - 18 → (3)
Substitute x = 2y - 18 into (2)
y + 16 = 3(2y - 18) ← distribute
y + 16 = 6y - 54 ( subtract 6y from both sides )
- 5y + 16 = - 54 ( subtract 16 from both sides )
- 5y = - 70 ( divide both sides by - 5 )
y = 14
Substitute y = 14 into (3) for corresponding value of x
x = (2 × 14) - 18 = 28 - 18 = 10
The 2 numbers are 10 and 14
Answer:
He began with 12.
Step-by-step explanation:
14-8=6
You need to multiply 6 because he sold half of his comic books at the beginning.
6*2=12
Answer:
Step-by-step explanation:
i belive its 3