Steven is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $51 for the meal, plus $2 per pound for the lobster he picks. At the
second restaurant, Steven would pay $4 per pound for the lobster, in addition to $19 for the
meal. Steven realizes that, in theory, dinner at both restaurants could cost the same amount
if the lobster had a certain weight. How much would Steven pay for his dinner? What is the
weight?

Step-by-step explanation:

2x+51=4x+19

32=2x

x=16. The weight is 16 pounds

plug it back in to find the cost

32+51=83. 64+19 = 83. The cost is 83 dollars

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi