There are 28 couples at a party Each person shakes hands with every other person,
except their own spouse.
When the party is over, Mr. Smith asks each attendant how
many hands they shook and everyone tells him a different number.
How many hands did Mr. Smith shake?

Mr. Smith shook 54 hands

Step-by-step explanation:

28 couples are a group of two people,so, 28 *2 equals to 55, subract his spouse and it will be 54

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11