Given parameters:
Diameter of the malt balls = 0.8in
Dimensions of the prism = 4in x 3in x 7.5in
Unknown:
Number of malt balls that will fit in the carton = ?
Solution:
To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.
Volume of the malt balls = 
This is because we assume that the balls have a spherical shape.
Where r is radius and π is a constant
Radius of the malt balls = 
= 0.4in
So, volume = 
= 0.27in³
Volume of the rectangular prism = l x w x h
where l is the length
w is the width
h is the height
So the volume is 4 x 3 x 7.5 = 90in³
The number of malt balls that can be packed here = 
= 333 malt balls
Remember to subtract based on the place of the digits. In this case:
32.654
- 0.1
-------------
32.554
32.554 is your answer
hope this helps
Distribute and combine like terms.
-5(y-2) - 7y
-5y + 10 - 7y
-12y + 10
A (-12y + 10) would be the answer.
In the case of whole numbers, dividing 2 by itself would prove the conjecture false.
2/2 = 1
2/8 = 0.25
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 150
R interest rate 0.025
T time?
3000=150 (1+0.025/12)^12t
Solve for t
3000/150=(1+0.025/12)^12t
Take the log
Log (3000/150)=log (1+0.025/12)×12t
12t=Log (3000/150)÷log (1+0.025/12)
T=(log(3,000÷150)÷log(1+0.025÷12))÷12
T=119.95 years
