4 (4, ) 8 (8, ) Complete the ordered pairs in the table by finding the y-coordinate of the ordered pairs for the equation y=1/4x. (2 points) x y (x, y) 0 (0, ) 4 (4, ) 8 (8, ). What’s the answer

x y (x, y)

0 (0, 0)
4 (4, 1)
8 (8, 2)

Therefore, the complete ordered pairs are:
(0,0), (4,1), (8,2)

In a cleaning mixture, the amount of water is directly proportional to the amount of ammonia mix with 5 gallons of water requires 10 teaspoons of ammonia. How many gallons of water are needed for 25 teaspoons of ammonia write your answer in decimal form.

To find the gallons of water needed for 25 teaspoons of ammonia, we can set up a proportion using the given information:

5 gallons of water is to 10 teaspoons of ammonia as x gallons of water is to 25 teaspoons of ammonia.

5/10 = x/25

Now, cross multiply to solve for x:

10x = 125
x = 125/10
x = 12.5

Therefore, 12.5 gallons of water are needed for 25 teaspoons of ammonia.

Use the graph to derive the equation Y equals X or a line through the origin simplify the numeral coefficient if needed. Y equals 8X Y equals 3X Y equals X or Y equals 3/3X

To derive the equation y = x or a line through the origin, we can see from the given equations that y = x fits the criteria.

Therefore, the equation y = x simplifies to y = 1x or y = 1*x, which represents a line through the origin with a slope of 1, passing through the point (0,0).

So, the equation y = x is the correct answer to represent a line through the origin in this context.