Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
        
             
        
        
        
I don’t know the first one
8/10 is 4/5
25/50 is 1/2
2/18 is 1/9
3/21 is 1/7
3/4 is 3/4
        
                    
             
        
        
        
Answer:
45.
Step-by-step explanation:
Since Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute, to determine what is the initial value of the linear function that represents the situation, the following calculation must be performed:
45 (starting number) - 15(number of gallons per minute) X(minutes) = Y
Therefore, the equation would be 45 - 15X = Y, with which the initial value of the linear function that represents the situation is 45.
 
        
             
        
        
        
The linear inequality is 
16S + 10T ≤ 100
T = Number of t-shirts
S = Number of shorts
For 2 shorts,
32 + 19T ≤ 100.
<h3>What is inequality?</h3>
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = 
Greater than and equal= 
We have,
Cost of shorts = $16
Cost of t-shirts = $10
Total amount to spend = $100
Number of shorts to purchase = S
Number of t-shirts to purchase = T
The linear inequality is given as:
16S + 10T ≤ 100
Since S = 2,
16 x 2 + 10T ≤ 100
32 + 10T ≤ 100
10T ≤ 100 - 32
1OT ≤ 68
T ≤ 6.8
This means he can buy 6 or less than 6 t-shirts.
Thus,
The linear inequality is 
16S + 10T ≤ 100
T = Number of t-shirts
S = Number of shorts
For 2 shorts,
32 + 19T ≤ 100.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ1
 
        
             
        
        
        
I’m not sure if this is right. But I think it’s 29
x=4 
8(4) -3
32-3=29