Hamburger heaven is having a lunch special where customers buy one 1/2- pound cheeseburger and gets one free. if they set aside 50 2/3 pounds of meat, how many 1/2- pound cheeseburgers can they make?

We are given that in one cheese burger, the amount of meat that it contains is a half pound, so:

meat in a cheese burger = 0.5 pound /cheese burger                                      ---> 1

We are also given that the total pounds of meat available for making the cheese burger is:

total meat available = 50 2 / 3 pounds

if expressed in decimal form is also equivalent to:

total meat available = 152 / 3 pounds = 50.67 pounds                                      ---> 2

Therefore to get the amount of burgers that can be make, we divide 2 by 1 to get units in cheese burger:

number of cheese burger = 50.67 pounds / (0.5 pound /cheese burger)

number of cheese burger = 101.33

Therefore about 101 cheese burgers can be made.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15