Isabella's ballet class is preforming a spring recital for which they need butterfly costumes. each butterfly costume is made from 3 3/5 yards of fabric. use distributive property to find the number of yards of fabric needed for 5 costumes. (hint: a mixed number can be written as the sum of an integer and a fraction.)

We are given that:

fabric required = 3 3/5 yards

costumes = 5

We can write fabric required as a fraction in the form of:

(3 * 5) + 3 = 18

fabric required = 18 / 5 yards

So total fabric required is = (18 / 5 yards) * 5 = 18 yards

18 yards

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