Answer:
z = 7.5
Step-by-step explanation:
Given that z is directly proportional to x and inversely proportional to y then the equation relating them is
z = ← k is the constant of proportionality
To find k use the condition when x = 16, y = 5, z = 16, then
k = = = 5
z = ← equation of proportionality
When x = 21, y = 14, then
z = = 7.5
From the diagram we obtain two expressions for hypo length and set them equal to one another: 3y = x + 3
Next, set y + 1 = x.
Subst. y + 1 for x in 3y = x + 3: 3y = y + 1 + 3, or 2y =4, or y=2.
Then x= 2 + 1 = 3
So the desired values are x = 3 and y = 2.
237 1/2 = 475/2 = 237.5
237.5 ÷ 100 = 2.375 %