Zoe payed $18.60 in sales tax and tips for her dinner. the sales tax is 11% and she tipped 20%. what was the price of zoe's dinner, before sales tax and tip

 $60

Step-by-step explanation:

Let the total price of Zoe dinner = x

According to question,

He paid 11 % sales tax  20% on tip.

Therefore,  he paid total extra charge = 11 + 20 = 31 %

That is, he paid 31 % extra in sales tax and tips for dinner.

But again according to the question,

Zoe paid $18.60 in sales tax and tips for her dinner.

⇒ 31 % of x = 18.60

⇒

⇒

⇒

⇒ x = 60

Thus, The total cost of Zoe's dinner before tax = $60

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step-by-step explanation:

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.