Answer:
4 hours
Step-by-step explanation:
Ratio of working together
Job : number of hours
1 : 3 = 1/3
Trainer
Job : number of hours
1 : x = 1/x
Trainee
Job : number of hours
1 : 3x = 1/3x
1/x + 1/3x = 1/3
Multiply through by 3x
3x(1/x) + 3x(1/3x) = 3x(1/3)
3 + 1 = x
4 = x
x = 4 hours
It takes the trainee 4 hours to finish the job
20-17.92 is 2.08. .13x=2.08.
divide by 2.08 to get your answer which is .0625 or 06 minutes.
Answer:
The height = 223.6 ft
Step-by-step explanation:
∵ Initial velocity (u) = 144 ft/sec
∵ t = 2 sec
∵ a = - 32.2 ft/sec²
∵ h = ut + 1/2 at²
∴ h = 144(2) +1/2 (-32.2 × 4) = 288 + 1/2( -128.8) = 223.6 ft
Answer:
Therefore, Miranda can register for at most 3 courses.
Explanation:
If x is the number of courses in which Miranda register, the total cost for her tuition will be:
45 + 450x
Because there is a fixed cost of $45 and a cost per course of $450.
Then, this cost should be less than or equal to $1500, so we can write the following inequality:
45 + 450x ≤ 1500
Now, we can solve the inequality for x. Subtract 45 from both sides:
45 + 450x - 45 ≤ 1500 - 45
450x ≤ 1455
Divide both sides by 450:
450x/450 ≤ 1455/450
x ≤ 3.23
Therefore, Miranda can register for at most 3 courses.
Volume of the sphere = 3/4 pi r^3
The spheres radius is one third of the hemisphere's so radius of hemisphere = 3r
Volume of the hemisphere = 1/2 * 4/3 pi (3r)^3
= 2/3 * 27 pi r^3
= 18 pi r^3
So vol hemisphere / vol sphere = 18 pi r^3 / 4/3 pi r^3 = 18 * 3/4 = 13.5
Hemisphere is 13.5 times the volume of the sphere.
