Let us assume the common ratio to be = x
Then
7x + 8x = 45
15x = 45
x = 45/15
= 3
Then the two numbers are
7x :8x
7 * 3:8 * 3
21: 24
Then the two numbers are 21 and 24.
I hope the procedure in which
the problem is done is clear to you. This is a simple but effective way of
solving such problems. In future this method will make you confident about
solving these kind of problems.
Answer:
Step-by-step explanation:
Hour hand = radius = 5.5 in
It will travel one full circle in one day, and 3 full circles in 3 days.
<u>The travel distance is:</u>
- 3C = 3(2πr) = 6*3.14*5.5 in = 103.62 in
Answer:
x = 50*e∧ -t/100
Step-by-step explanation:
We assume:
1.-That the volume of mixing is always constant 300 gallons
2.-The mixing is instantaneous
Δ(x)t = Amount in - Amount out
Amount = rate * concentration*Δt
Amount in = 3 gallons/ min * 0 = 0
Amount out = 3 gallons/min * x/ 300*Δt
Then
Δ(x)t/Δt = - 3*x/300 Δt⇒0 lim Δ(x)t/Δt = dx/dt
dx/dt = - x/100
dx/ x = - dt/100
A linear first degree differential equation
∫ dx/x = ∫ - dt/100
Ln x = - t/100 + C
initial conditions to determine C
t= 0 x = 50 pounds
Ln (50) = 0/100 * C
C = ln (50)
Then final solution is:
Ln x = - t/100 + Ln(50) or
e∧ Lnx = e ∧ ( -t/100 + Ln(50))
x = e∧ ( -t/100) * e∧Ln(50)
x = e∧ ( -t/100) * 50
x = 50*e∧ -t/100
80 plus 80 is equal to 160. It's like 8 plus 8 equals 16, just add a zero to the end to each numbers it's easier to think that way
5/2 = 2.5
you can check by multiplying 2.5 and 2.