Hannah's necklace is 10 1/5 inches long. Erin's necklace is 2 2/3 times as long as Hannah's. Abot how long is erins necklace

Erin's Necklace is 47.6 inch long.

Step-by-step explanation:

Hannah 's necklace is 10 1/5 inches long which means =  (50+1)/5 = 51/5

Erin's necklace is 2 2/3 times = (6+8)/3 = 14/3 longer than Hannah's

Solving for this :

Erin's necklace =

⇒

⇒ 47.6 Inch

Erin's Necklace is 47.6 inch long.

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