1. the knitting club sold 40 scarves and hats at a winter festival and made $700 from
the sales. they charged $18 for each scarf and $14 for each hat.
if s represents the number of scarves sold and h represents the number of hats sold,
which system of equations represents the constraints in this situation?

and .

Step-by-step explanation:

Given: The knitting club sold 40 scarves and hats at a winter festival and made $700 from   the sales. They charged $18 for each scarf and $14 for each hat. Here, s represents the number of scarves sold and h represents the number of hats sold.

To find: System of equations representing the constraints in the given situation.

Solution:

We have, number of scarves sold as s, and  the number of hats sold as h.

It is given that The knitting club sold 40 scarves and hats.

So, we have

Also, they made $700 from  the sales. They charged $18 for each scarf and $14 for each hat.

So, we have

Hence, the system of equations representing the constraints in this situation is   and .

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)