Solve the riddle.

Two-thirds of a number increased by five is the same as negative two-sixths of a number increased by fourteen.

Two-thirds x + 5 = negative StartFraction 2 Over 6 EndFraction x + 14

What is the number?

Anthony is making a collage for his art class my picking shapes randomly. he has five squares, two triangles, two ovals, and four circles. find p( circle is chosen first)

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

At the beginning of the day, stock xyz opened at $6.12. at the end of the day, it closed at $6.88. what is the rate of change of stock xyz? a. 1.17% b. 11.0% c. 12.4% d. 81.5%