Question:
Find the constant of proportionality k. Then write an equation for the relationship between x and y
Answer:
(a) 
(b) 
Step-by-step explanation:
Given
Solving (a): The constant of proportionality:
Pick any two corresponding x and y values
The constant of proportionality k is:
Solving (b): The equation
In (a), we have:
k can also be expressed as:
Substitute values for x1, y1 and k
Cross multiply:
Open bracket
Add 10 to both sides
Answer:
379/47
Step-by-step explanation:
1. Simplify
2. Reduce fraction to lowest terms
1 is the greatest common divisor of 3 and 47. The result can't be further reduced.
3. Convert mixed number to improper fraction
Take 2000 divide 76 =26.3 so the elevator can carry 26 boxes
Answer:
12/13
Step-by-step explanation:
By definition, for a right triangle with an internal angle X
sin X = length of opposite side / length of hypotenuse
in this case,
for angle F, the opposite side = GH and the hypotenuse is HF
hence
sin F = GH / HF = 12/13
