Serenity wanted to make a lot of bows that she could sell. she had 6 1/4 yards of ribbon. each bow takes 3/4 yard to make. how many bows could she make? how much extra fabric was left?

8 Bows

Step-by-step explanation:

I will be using money as an example.

It takes 4 quarters to make a dollar. (1/4 1/4 1/4 1/4 = 1)

By using this method we will know that it takes 24 quarters to make 6 dollars and the additional 1/4 is an extra quarter. Now that we have 25 quarters we will divide it by 3 because it takes 3/4 to make a bow.

6x4=24

24 + 1 = 25

25/3= 8.333333

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