Answer:
13 inches
Step-by-step explanation:
the volume of a prism is (L)(w)(h)
height=2
width=4
length=?
2(4)(x)=104
8x=104
x=13 inches.
Answer:

Step-by-step explanation:
Given
x ----- y
0.5. --- 0.8
1. --- 1.6
3.--- 4.8
25. --- 40
Required
Determine the constant of proportionality
This can be calculated using the following formula:
; Where r is the constant of proportionality;
Solve for r

When x = 0.5; y = 0.8


When x = 1; y =1.6


When x = 3; y = 4.8


When x = 25; y = 40


Notice that the value of r is constant throughout;
Hence:

Answer:
Step-by-step explanation:
It takes Lucas 3 hours to cycle from his home to his friend’s village:
3 hours • (a certain speed) = distance in miles
If he travels 5mph slower, it will take him 1.5 hours longer:
4.5 hours • (the same speed - 5mph) = the same distance in miles
4.5 • (x - 5) = 3x
4.5x - 22.5 = 3x
1.5x = 22.5
x = 15mph
3hours • 15mph = 45 miles
199 is greater than 190, and less than 200.