Caro-lind inc. manufactures personalized baby quilts. an experienced embroiderer can personalize 8 quilts per hour. because the repetitive nature of the sewing can lead to carpal tunnel syndrome, workers take a 20-minute break after every 8 quilts. before beginning each batch of 8 quilts, workers spend 10 minutes cleaning and setting up their sewing machines. calculate the standard quantity of direct labor for one quilt. (round answer to 2 decimal place, e. g. 3.15.)

standard quantity of direct labor per quilt minutes

11.25 minutes

Explanation:

Total Time taken for 8 quilts:

= Time taken for 8 quilts + Break + Cleaning and setting up their sewing machines

=  60 minutes + 20 minutes + 10 minutes

= 90 minutes

Time taken for 1 quilts:

= Total Time taken for 8 quilts ÷ No. of quilts

= 90 minutes ÷ 8 quilts

= 11.25 minutes

Standard quantity of direct labor for one quilt is 11.25 minutes = 0.1875 hour.

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this