Mai-li has 6 1/3 yd of material. her new skirt will take 2 1/3 yd. how much material will she have left after the skirt is made?

a. 8 yd
b. 8 2/3 yd
c. 4 yd
d. 12 2/3

C. 4 yd

Step-by-step explanation:

6 1/3 and 2 1/3 are mixed numbers because they are a combination of a whole number and a fraction. They could be represented like:

6 1/3 = 6 + 1/3

2 1/3 = 2 + 1/3

To substact them, we need to convert the integer into a fraction. Since 6 = 6/1, we can multiply the numerator a denominator by 3 to get an equivalent fraction. We will do the same with 2 1/3.

6 + 1/3 = 6/1 + 1/3 = 6/1 × (3/3) + 1/3 = 18/3 + 1/3 = 19/3

2 + 1/3 = 2/1 + 1/3 = 2/1 × (3/3) + 1/3 = 6/3 + 1/3 = 7/3

The remaining material will be:

19/3 - 7/3 = 12/3 = 4

There will be 4 yd left.

what the question so we can you out

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