Abstract Algebra Answers

2 2/3 divided by 1 3/5

Let C(R) denote the ring of all continuous real-valued functions on
R, with the operations of pointwise addition and pointwise multiplication.
Which of the following form an ideal in this ring?
a. The set of all C^infinity functions with compact support.
b. The set of all continuous functions with compact support.
c. The set of all continuous functions which vanish at innity, i.e. functions
f such that lim x tends to infinity f(x) = 0

A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 33 more deluxe staterooms that the Pacific Paradise. The Mediterranean Paradise has 36 fewer deluxe staterooms that 4 times the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total numbers of deluxe staterooms for the three ships is 837.

Ms. Gonzalez would like to paint 4 of her classroom tables black. She knows that she can cover 50 square feet of an area with 1 quart of paint. She measured the top of the table to be 12 feet by 3 feet and the height to be 2 inches. If Ms. Gonzalez is only concerned with painting the top of the 4 table and the 4 sides of the table, how many quarts of paint does Ms. Gonzalez need to buy?

a boy ran 5.8 kilometers. how many meters did he run?

Relation R defined on the set A={1,2,3,4} by R={(1,1),(2,2),(3,3)} is
a) reflexive
b) symmetric
c) transitive
d) none of these.

The number of equivalence relations of the set {1,2,3,4} is
a) 4
b) 15
c) 16
d) 24

1. 4c-3=63 ?
2.3p+85=2p-10
3.6h+7=7h-5
4.14k-1=
5.7e-4=2e+13

Construct an example of incomplete ordered field that is complete in Cauchy sense.

what is domain and range in algebra?