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
Answer: The numbers are 10.8 and 46.2.
Step-by-step explanation: The sum of two numbers is 57.
x + y = 57
Assume x is the larger number.
x - 3 = 4y
x = 4y + 3
Use subsitution.
4y + 3 + y = 57
y = -4y - 3 + 57
y = -4y + 54
5y = 54
y = 10.8
Plug in y.
x + 10.8 = 57
x = 46.2
Check.
46.2 - 3 = 4(10.8)
43.2 = 43.2
In order to solve this problem, you must divide 30 beads by 5 beads to get 6 pairs of purple beads. Then multiple 6 by 2 to get 12 white beads.
In ratio form, this can look like 30:12
Answer:
The graph of g(x) is translated 4 units down compared to f(x)
Step-by-step explanation:
the -4 in 
means it is translated 4 units down
The answer is
1.6x-(x-2.8)=(0.2x+1.5)-0.7
1.5-0.7
1.6x-(x-2.8)=0.2x+0.8
1.6x-x
0.6x+2.8=0.2x+0.8
2.8-2.8 0.8-2.8
0.6x=0.2x-2
0.6x-0.2x 0.2x-0.2x
0.4x=-2
0.4x/0.4 -2/0.4
X=-5
