Answer:
2 2/3 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume =96 pi and the diameter is 12
We want the radius
r =d/2 = 12/2 =6
96 pi = pi * (6)^2 h
96 pi = 36 pi h
Divide each side by 36 pi
96 pi/36 pi = 36pi h / 36 pi
8/3 = h
Changing from an improper fraction to a mixed number
2 2/3 = h
The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.
<em>Travel time = distance ÷ speed </em>
<u>Second half of the trip</u> :
- <em>Distance covered = 15 miles</em>
<u>Time taken for second half of trip</u> :
Time taken = 15 / s
<u>First half of the trip</u> :
- <em>Speed = s + 2 mph </em>
<u>Time taken for first half of trip :</u>
Time taken = 15 / (s+2)
<u>Total time taken :</u>
<em>First half + second half</em>
15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s
B)
If s = 12
<em>Substitute s = 12 into the expression</em> :
[15(12) + 15(12+2)] / 12² + 2(12)
[180 + 210] / 144 + 24
390 / 168
= 2.32 hours
Therefore, the total time taken is 2.32 hours.
Learn more : brainly.com/question/18796573
Answer: B $852.00
Step-by-step explanation:
Answer:
-(1/10)x
Step-by-step explanation:
This is an addition problem. Since the variable (x) is the same in both terms, we need only sum up the coefficients -3/5 and 1/2 and then multiply x by this sum.
-3/5x+1/2x = (-3/5 + 1/2)x
The LCD of -3/5 and 1/2 is 10. The -3/5 term converts to -6/10 and the 1/2 term to 5/10. Thus, we have (-6/10 + 5/10)x = -(1/10)x
