Answer:
x > 3 1/5
Step-by-step explanation:
5x +3>19
Subtract 3 from each side
5x +3-3>19-3
5x >16
Divide each side by 5
5x/5 > 16/5
x > 16/5
x > 3 1/5
The answer is: The diameter is 4 centimeters.
The explanation is shown below:
1. The volume of the cylinder is:

Where
is the radius (
) and
is the height (
).
Then:
2. The total volume of the 12 spheres is:

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

4. Now, you must solve for the radius:
![r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%5Cpi%7D%7B16%5Cpi%7D%7D%5C%5Cr%3D2cm)
5. The diameter is:

Choicexs?
?????????????????????????
Answer:
x = 17
Step-by-step explanation:
1) Make the bases the same then rewrite.
4 = 2²
2^2(2x - 5) = 2^3x + 7
2) Since the bases are the same, set the exponents equal to each other.
2(2x -5) = 3x + 7
4x - 10 = 3x + 7
4x - 3x = 7 + 10
x = 17