5/4 gallons of water fill 5/6 of a bucket how many gallons of water fill the entire bucket

gallons

Step-by-step explanation:

If gallons fill of a bucket.

Then we can write the ratio;

Let gallons fill the entire bucket which is equivalent to .

Then we can again write the ratio;

We can write the following equation of proportion to solve for .

This implies that;

We simplify to get;

Therefore gallons will fill the entire bucket

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,