Answer:
B=55
Step-by-step explanation:
2x+3x+2x+5=180
7x=175
X=25
B= 2x+5
B=2*25 +5
B=55
Answer:
y = -8/3x + 8
Step-by-step explanation:
y = -8/3(x - 3)
Distributing the -8/3 you get:
y = -8/3x + 8
(The -3 in (x - 3) cancels out the 3 in -8/3, therefore it creates 8 with the negative multiplying by a negative.)
It will take 29 minutes to empty a 2,030- Gallon Tank.
70 x 1 = 70 Gallons per minute
2,030/70 = 29 minutes
Answer:
60 km/hr
Step-by-step explanation:
First we will determine the speed of the bus following it's increase. The speed is increased by:
50m/9sec=50.60.60/9/1000 .km/hr=20 km/hr
Therefore, the new speed is V = 50 + 20 + = 70
km/hr. If x is the number of hours according to the schedule, then at the speed of 50 km/hr the bus travels from A to B within ( x + 42/60 ) hr. When the speed of the bus is V = 70 km/hr, the travel time is x -30/60 hr. Then:
50(x+42/60)=70(x-30/60)
5(x+7/10)=7(x-1/2)
7/2+7/2=7x-5x
2x = 7
x=7/2 hr
So, the bus is scheduled to make the trip in 3 he 30 minutes.
The distance between the two towns is 70 ( 7/2 – 1/2 ) = 70 • 3 = 210 km and the scheduled speed is:
270/7/2=60km/hr
Answer:
(7/3) x^3 ln x - (7/9) x^3 + c.
Step-by-step explanation:
∫udv = uv - ∫vdu
u = ln x and dv = 7x^2dx so,
du = 1/x and v = 7x^3/3 so:
∫7x^2 ln x = (7x^3/3) ln x - 7 ∫x^3/3 * 1/x dx
= 7/3 x^3 ln x - 7 ∫x^2/3 dx
= 7/3 x^3 ln x - 7/x^3/2 * 1/3 dx
= 7/3 x^3 ln x - 7/9 x^3 + c.