Answer:
Step-by-step explanation:
If two ratios make a proportion then it can be shown as:
Let's verify the answer choices with this method
A. 1/4 and 5/25
- 1*25 = 4*5
- 25 = 20, incorrect, not a proportion
B. 1/4 and 7/24
- 1*24 = 4*7
- 24 = 28, incorrect, not a proportion
C. 1/4 and 10/48
- 1*48 = 4*10
- 48 = 40, incorrect, not a proportion
D. 1/4 and 9/36
- 1*36 = 4*9
- 36 = 36, correct, this is a proportion
Answer:
n = (m-1)/(4-g)
Step-by-step explanation:
m= 4n-gn+1
Subtract 1 from each side
m-1= 4n-gn+1-1
m-1 = 4n -gn
Factor out n
m-1 = n(4-g)
Divide each side by (4-g)
(m-1)/(4-g) = n(4-g)/(4-g)
(m-1)/(4-g) = n
n = (m-1)/(4-g)
Answer:
The solution to the differential equation y'(y + 7)y'' = (y')²
y = Ae^(Kx) - 7
Step-by-step explanation:
Given the differential equation
y'(y + 7)y'' = (y')² ..................(1)
We want to solve using the substitution u = y'.
Let u = y'
The u' = y''
Using these, (1) becomes
u(y + 7)u' = u²
u' = u²/u(y + 7)
u' = u/(y + 7)
But u' = du/dy
So
du/dy = u/(y + 7)
Separating the variables, we have
du/u = dy/(y + 7)
Integrating both sides, we have
ln|u| = ln|y + 7| + ln|C|
u = e^(ln|y + 7| + ln|C|)
= K(y + 7)
But u = y' = dy/dx
dy/dx = K(y + 7)
Separating the variables, we have
dy/(y + 7) = Kdx
Integrating both sides
ln|y + 7| = Kx + C1
y + 7 = e^(Kx + C1) = Ae^(Kx)
y = Ae^(Kx) - 7
Answer:
The answer is 21.10
Explanation:
If her bill in July was $52.75 and her bill in August was only 60% of July
60% of 52.75 is 31.65
and they asked how much more she paid:
52.75-31.65 = 21.10
hope this helps!
Answer:
2w+4x+5d
Step-by-step explanation: