Answer:
40 students
Step-by-step explanation:
If the tickets are 1/5 that means they cost 4/5
25 * 4/5 = 20
The tickets cost 20 and the train costs 15 so the total per person is 35
Teachers: 2 at 35 = 70
1500 -70 = 1430
Take 1430 / 35 =40.85714286
We can send 40 students
Answer:
dh/dt=9.82x10^-3 ft/min
Step-by-step explanation:
1. You have that the rate is10 ft³/min. Then:
dV/dt=10
2. The formula for calculate the volume of a cone, is:
V=1/3(πr²h)
"r" is the radius and "h" is the height.
3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:
r=diameter/2
diameter=3h
r=3h/2
4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:
V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12
5. Therefore:
dV/dt=(9πh²/4)dh/dt
h=12
dV/dt=10
6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:
dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)
7. Finally, you obtain:
dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min
Its the difference between the y- values divided by the distance between the corresponding x values. Or its sometimes called rise / run.
Answer:
The answer is 27 miles and option b will give that.
Step-by-step explanation:
1.75 + 0.45m = 13.90
m = (13.90 - 1.75) / 0.45
m = 27 miles
Hope this helped