Abstract Algebra Answers

so d you do online assignments

A ticket to the high school football game costs $5.Which number sentence shows how to find the costs of 10 tickets? 10 divided by 5 = 2 or 5 times 10 = 50 or 5 + 10 =15 and 10 - 5 = 5.

Use the laws of logarithms to express log26 – log23 + 2log28 1/2 as a single logarithm; then evaluate.

An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x cm which is 2cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also at a distance xcm which is also equal to 2 cm from one
of its ends)
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.

Find the no. of integral solutions of:
xy=2x-y
i tried using the AM-GM inequality but i didnt get the solution to this.how should i start?

How can you tell the difference between non-linear equations and linear equations?

1/2m-3=5/6-2/3m

Z(G)={Z in G/ zx=xz for all x in G} write a proof to show z(G) is a subgroup of G

whats 16 with an exponent of 2