Acandy shop sells a box of chocolates for $30. it has $29 worth of chocolates plus $1 for the box. the box includes two kinds of candy; caramels and truffles. lita knows how much the different types of candies cost per pound and how many pounds are in the box. she said if x is the number of caramels included in the box and y is the number of pounds of truffles in the box then i can write the following equations based on what i know about one of these boxes:
x+y=3
8x+12y+1=30

how many pounds of candy are in the box?

what is the price per pound of the caramels?

what does the term 12y in the second equation represent?

what does 8x+12y+1 in the second equation represent?

solve the equations by ising any of the elimination or substiturion meyhod and you can get the values of x and y then you can easily answer other questions

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

what are the