The Garcia family and the Johnson family each used their sprinklers last summer. The Garcia family's sprinkler was used for 20 hours. The Johnson family's sprinkler was used for 25 hours. There was a combined total output of 1175 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55 L per hour?

W is the time Woody family used sprinkler.

C is the time Carter family used sprinkler.

Time used total: 50 hours.

W+C = 50                                 (1)

Total water used is 1900 L.

Woody family used: 40W;

Carter family used 35C.

Equation showing how much water both families used:

40W + 35 C =1900.                   (2)

We have a system with two equations and two variables. We can use substitution method to solve the system. From equation (1) we express W:

W=50 - C.                                              (1a)

We substitute the variable in equation (2):

40(50 - C) +35C =1900.

We open the parenthesis

2000 -40C +35C =1900,

We combine like terms

2000 -5C =1900,

We subtract 2000 from both sides of the equation

-5C = 1900 - 2000,

We simplify

-5C = -100,

We divide by -5

C = 20.

We substitute the values of C in the equation (1a) and find the value of W:

W = 50 - C,

W = 50 -20 =30.

The Woody family used water for 30 hours and the Carter family used water for 20 hours.

We check our work to be sure we did not make any mistakes:

Total water used:

40 x 30 + 35 x 20 = 1200 + 700 = 1900 L.

it happens during combustion and impacts the environment because the plants and trees take in that and it can cause them to die.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)