A rain barrel holds 47 gal. 1 qt of water. Mr. Jiko uses 12 gal. 2 qt to water his flower garden and 7 gal. 1 qt. to water his
trees. How much water is left in the rain barrel?
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27 gallons, 2 quarts

Step-by-step explanation:

The measurements are given in gallons and quarts. Lets convert everything to quarts.

We know:

4 quarts = 1 gallons

So,

Rain Barrel Capacity = 47*4  + 1 = 189 quarts

Jiko uses 12 gallon  2 quart to water flower garden = 12*4  + 2 = 50 quarts

Jiko uses 7 gallons 1 quarts to water trees = 7*4  + 1 = 29 quarts

He used up = 50 + 29 = 79 quarts

Remaining Water in Rain Barrel = 189 - 79 = 110 quarts

In gallons and quarts:

27 * 4 = 108 quarts

So, water left = 27 gallons, 2 quarts

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

the answer is 1/4

step-by-step explanation: