Answer:
x=3
Step-by-step explanation:
3+x=2x
Subtract x from each side to get the variable on one side
3+x-x=2x-x
3 = x
1) In a proportion: y/x=k
k is your constant of proportionality.
x is your independent variable and y is your dependent variable.
Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.
So k=1.5 (3/2)
3)
a) y/x as a showed above. This question is very similar to #1.
b) y/x=k
Answer:
the y intercept is (0,29)
Answer:
the width is 17.5 feet and the length is 82.5 feet.
Step-by-step explanation:
The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.
We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).
Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.
Let's write this in algebraic form

Therefore, the width is 17.5 feet.
Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:
feet
Therefore, the width is 17.5 feet and the length is 82.5 feet.