Problem page the bailey family and the harris family each used their sprinklers last summer. the water output rate for the bailey family's sprinkler was 15 l per hour. the water output rate for the harris family's sprinkler was 40 l per hour. the families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1325 . how long was each sprinkler used?

Bailey family's sprinkler was used for 35 hours and Harris family's sprinkler was used for 20 hours.

Step-by-step explanation:

 Set up a system of equations.

Let be "b" the time Bailey family's sprinkler was used and "h" the time Harris family's sprinkler was used.

Then:

You can use the Elimination method. Multiply the first equation by -15, then add both equations and solve for "h":

Substitute into an original equation and solve for "b":

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

your answer would be 12