Akitchen floor has 15 1/2 tiles in an area of 2 1/5 square feet. how many tiles are in one square foot

Step-by-step explanation:

We have been given that a kitchen floor has tiles in an area of square feet.

To find the number of tile in one square foot, we will divide total number of tiles by total area as:

Convert mixed fractions into improper fractions:

Now, we will convert the division problem to multiplication problem by flipping the 2nd fraction as:

Therefore, tiles are in one square foot.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer will be