Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: 
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: 
, where r is the radius. From above, we know that 
, so we can plug this into the equation:
Thus, the answer is C.
Answer:
Option D.
Step-by-step explanation:
Consider option D. 
Take point (0,0)
On putting this point in inequation 
, we get
which is true . So, solution is region towards the origin i,e region below the line 
including the line itself .
On putting (0,0) in inequation 
, we get 
which is false , so solution is region away from the origin i.e region below line 
including the line itself .
So, common solution to both the inequations is the shaded part in the given figure .
In other words, we can say that the graph shown in the given figure represents system of equations:
Answer:
(50-10) ÷ (3+2)
Step-by-step explanation:
Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
a = 5b.......(first equation)
"Three years ago, she was nine times older" could be written as:
a - 3 = 9(b - 3)......(second equation)
Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
5b - 3 = 9b - 27
5b - 9b = -27 + 3
-4b = -24
b = -24/-4
b = 6
Her son, Bob, is 6 years old
To find Agatha's age, substitute the value of b to the first equation
a = 5b
a = 5 × 6
a = 30
Agatha is 30 years old
The probability would be 15 over 24.
We can tell this because by the table, the number 2 was rolled 4 total times, the number 4 was rolled 9 total times and the number 6 was rolled 2 total times. When you add those together you get 15. You can state the probability by expressing with the number of times rolled over total times rolled. Since it was rolled a total of 24 times, we are left with 15/24.
