The Main Street Market sells oranges at $3.00 for five pounds and apples at $3.99 for three pounds. The Off Street Market sells oranges at $2.59 for four pounds and apples at $1.98 for two pounds. FInd the unit price for each item at each store.

Which store has the better buy for oranges? For apples?

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Unit price = total price /  total quantity:

Main street Market:

Oranges: 3.00 / 5 = 0.60 per pound

Apples: 3.99 / 3 = 1.33 per pound

Off Street Market:

Oranges: 2.59 / 4 = 0.6475 per pound

Apples: 1.98 / 2 = 0.99 per pound

The lower the price per pound the better buy:

Oranges = Main Street Market

Apples = Off Street Market

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.