Whenever i try to install something it says it cant authenticate the software

That's OK

All it means is that it's not a genuine,original Canonical product - it's maintained by someone else.

It does it with everything. It doesent allow me to install anything.

You added a PPA and did not import the public key.
Check the software sources application.

And where would I get the Public Key?

Im sorry, Im not the best with Ubuntu. I recently reformated and installed it And it allways does this while installing from the ubuntu software center.

One you know which PPA is the one missing the public key, go to the PPA page and click the green text reading "Technical details about this PPA"

This is an example PPA page
https://edge.launchpad.net/~transmissionbt/+archive/ppa

There you will see "Signing key"

1024R/72D340A3 (What is this?)

Copy the portion after the slash but not including the help link; e.g. just 72D340A3.

Now you need to add that key to your system so Ubuntu can verify the packages from the PPA. In your terminal, enter:

sudo apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 72D340A3

Replace 72D340A3 with whatever you copied in the step 5.

This will now pull down the PPA's key and add it to your system.

http://h.imagehost.org/view/0772/Screenshot-1
http://j.imagehost.org/view/0980/Screenshot

Thank you so much for trying to help. Im so sorry about this. Those are screenshots of what I got. My Ubuntu skills are horrible and Iv started learning how to use the terminal so really anything past that Im rather clueless. Thank you so much for your patience with me

Please post results from terminal command cat /etc/apt/sources.list

   David
   in TN

chase@chase-desktop:~$ cat /etc/apt/sources.list
#deb cdrom:[Ubuntu 10.04 LTS _Lucid Lynx_ - Release i386 (20100429)]/ lucid main restricted
# See http://help.ubuntu.com/community/UpgradeNotes for how to upgrade to
# newer versions of the distribution.

deb http://ca.archive.ubuntu.com/ubuntu/ lucid main restricted
deb-src http://ca.archive.ubuntu.com/ubuntu/ lucid main restricted

## Major bug fix updates produced after the final release of the
## distribution.
deb http://ca.archive.ubuntu.com/ubuntu/ lucid-updates main restricted
deb-src http://ca.archive.ubuntu.com/ubuntu/ lucid-updates main restricted

## N.B. software from this repository is ENTIRELY UNSUPPORTED by the Ubuntu
## team. Also, please note that software in universe WILL NOT receive any
## review or updates from the Ubuntu security team.
deb http://ca.archive.ubuntu.com/ubuntu/ lucid universe
deb-src http://ca.archive.ubuntu.com/ubuntu/ lucid universe
deb http://ca.archive.ubuntu.com/ubuntu/ lucid-updates universe
deb-src http://ca.archive.ubuntu.com/ubuntu/ lucid-updates universe

## N.B. software from this repository is ENTIRELY UNSUPPORTED by the Ubuntu
## team, and may not be under a free licence. Please satisfy yourself as to
## your rights to use the software. Also, please note that software in
## multiverse WILL NOT receive any review or updates from the Ubuntu
## security team.
deb http://ca.archive.ubuntu.com/ubuntu/ lucid multiverse
deb-src http://ca.archive.ubuntu.com/ubuntu/ lucid multiverse
deb http://ca.archive.ubuntu.com/ubuntu/ lucid-updates multiverse
deb-src http://ca.archive.ubuntu.com/ubuntu/ lucid-updates multiverse

## Uncomment the following two lines to add software from the 'backports'
## repository.
## N.B. software from this repository may not have been tested as
## extensively as that contained in the main release, although it includes
## newer versions of some applications which may provide useful features.
## Also, please note that software in backports WILL NOT receive any review
## or updates from the Ubuntu security team.
# deb http://ca.archive.ubuntu.com/ubuntu/ lucid-backports main restricted universe multiverse
# deb-src http://ca.archive.ubuntu.com/ubuntu/ lucid-backports main restricted universe multiverse

## Uncomment the following two lines to add software from Canonical's
## 'partner' repository.
## This software is not part of Ubuntu, but is offered by Canonical and the
## respective vendors as a service to Ubuntu users.
# deb http://archive.canonical.com/ubuntu lucid partner
# deb-src http://archive.canonical.com/ubuntu lucid partner

deb http://security.ubuntu.com/ubuntu lucid-security main restricted
deb-src http://security.ubuntu.com/ubuntu lucid-security main restricted
deb http://security.ubuntu.com/ubuntu lucid-security universe
deb-src http://security.ubuntu.com/ubuntu lucid-security universe
deb http://security.ubuntu.com/ubuntu lucid-security multiverse
deb-src http://security.ubuntu.com/ubuntu lucid-security multiverse

Can you give the output of:

sudo apt-get update; sudo apt-get upgrade; sudo apt-get -f install

Thanks

sudo apt-get update; sudo apt-get upgrade; sudo apt-get -f install
chase@chase-desktop:~$ sudo apt-get update; sudo apt-get upgrade; sudo apt-get -f install
[sudo] password for chase:
Hit http://archive.canonical.com lucid Release.gpg
Ign http://archive.canonical.com/ubuntu/ lucid/partner Translation-en_CA
Hit http://ca.archive.ubuntu.com lucid Release.gpg
Get:1 http://ca.archive.ubuntu.com/ubuntu/ lucid/main Translation-en_CA [10.3kB]
Hit http://security.ubuntu.com lucid-security Release.gpg
Ign http://security.ubuntu.com/ubuntu/ lucid-security/main Translation-en_CA
Hit http://archive.canonical.com lucid Release
Ign http://security.ubuntu.com/ubuntu/ lucid-security/restricted Translation-en_CA
Ign http://security.ubuntu.com/ubuntu/ lucid-security/universe Translation-en_CA
Ign http://security.ubuntu.com/ubuntu/ lucid-security/multiverse Translation-en_CA
Hit http://security.ubuntu.com lucid-security Release
Get:2 http://ca.archive.ubuntu.com/ubuntu/ lucid/restricted Translation-en_CA [425B]
Get:3 http://ca.archive.ubuntu.com/ubuntu/ lucid/universe Translation-en_CA [663B]
Ign http://ca.archive.ubuntu.com/ubuntu/ lucid/multiverse Translation-en_CA
Hit http://ca.archive.ubuntu.com lucid-updates Release.gpg
Ign http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/main Translation-en_CA
Ign http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/restricted Translation-en_CA
Ign http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/universe Translation-en_CA
Ign http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/multiverse Translation-en_CA
Hit http://security.ubuntu.com lucid-security/main Packages
Hit http://archive.canonical.com lucid/partner Packages
Hit http://ca.archive.ubuntu.com lucid Release
Hit http://ca.archive.ubuntu.com lucid-updates Release
Hit http://security.ubuntu.com lucid-security/restricted Packages
Hit http://security.ubuntu.com lucid-security/main Sources
Hit http://security.ubuntu.com lucid-security/restricted Sources
Hit http://security.ubuntu.com lucid-security/universe Packages
Hit http://security.ubuntu.com lucid-security/universe Sources
Hit http://ca.archive.ubuntu.com lucid/main Packages
Hit http://security.ubuntu.com lucid-security/multiverse Packages
Hit http://security.ubuntu.com lucid-security/multiverse Sources
Hit http://ca.archive.ubuntu.com lucid/restricted Packages
Hit http://ca.archive.ubuntu.com lucid/main Sources
Hit http://ca.archive.ubuntu.com lucid/restricted Sources
Hit http://ca.archive.ubuntu.com lucid/universe Packages
Hit http://ca.archive.ubuntu.com lucid/universe Sources
Hit http://ca.archive.ubuntu.com lucid/multiverse Packages
Hit http://ca.archive.ubuntu.com lucid/multiverse Sources
Hit http://ca.archive.ubuntu.com lucid-updates/main Packages
Hit http://ca.archive.ubuntu.com lucid-updates/restricted Packages
Hit http://ca.archive.ubuntu.com lucid-updates/main Sources
Hit http://ca.archive.ubuntu.com lucid-updates/restricted Sources
Hit http://ca.archive.ubuntu.com lucid-updates/universe Packages
Hit http://ca.archive.ubuntu.com lucid-updates/universe Sources
Hit http://ca.archive.ubuntu.com lucid-updates/multiverse Packages
Hit http://ca.archive.ubuntu.com lucid-updates/multiverse Sources
Fetched 11.4kB in 4s (2,633B/s)
Reading package lists... Done
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following packages will be upgraded:
  libgnomekbd-common libgnomekbd4 libpoppler-glib4 libpoppler5 poppler-utils
  telepathy-butterfly
6 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.
Need to get 989kB of archives.
After this operation, 8,192B of additional disk space will be used.
Do you want to continue [Y/n]? y
Get:1 http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/main libgnomekbd-common 2.30.1-0ubuntu1 [7,592B]
Get:2 http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/main libgnomekbd4 2.30.1-0ubuntu1 [45.9kB]
Get:3 http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/main libpoppler5 0.12.4-0ubuntu5 [729kB]
Get:4 http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/main libpoppler-glib4 0.12.4-0ubuntu5 [75.9kB]
Get:5 http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/main poppler-utils 0.12.4-0ubuntu5 [80.9kB]
Get:6 http://ca.archive.ubuntu.com/ubuntu/ lucid-updates/main telepathy-butterfly 0.5.11-0ubuntu1 [49.3kB]
Fetched 989kB in 13s (70.7kB/s)
(Reading database ... 144864 files and directories currently installed.)
Preparing to replace libgnomekbd-common 2.30.0-0ubuntu2 (using .../libgnomekbd-common_2.30.1-0ubuntu1_all.deb) ...
Unpacking replacement libgnomekbd-common ...
Preparing to replace libgnomekbd4 2.30.0-0ubuntu2 (using .../libgnomekbd4_2.30.1-0ubuntu1_i386.deb) ...
Unpacking replacement libgnomekbd4 ...
Preparing to replace libpoppler5 0.12.4-0ubuntu4 (using .../libpoppler5_0.12.4-0ubuntu5_i386.deb) ...
Unpacking replacement libpoppler5 ...
Preparing to replace libpoppler-glib4 0.12.4-0ubuntu4 (using .../libpoppler-glib4_0.12.4-0ubuntu5_i386.deb) ...
Unpacking replacement libpoppler-glib4 ...
Preparing to replace poppler-utils 0.12.4-0ubuntu4 (using .../poppler-utils_0.12.4-0ubuntu5_i386.deb) ...
Unpacking replacement poppler-utils ...
Preparing to replace telepathy-butterfly 0.5.9-0ubuntu1 (using .../telepathy-butterfly_0.5.11-0ubuntu1_all.deb) ...
Unpacking replacement telepathy-butterfly ...
Processing triggers for man-db ...
Setting up libgnomekbd-common (2.30.1-0ubuntu1) ...

Setting up libgnomekbd4 (2.30.1-0ubuntu1) ...

Setting up libpoppler5 (0.12.4-0ubuntu5) ...

Setting up libpoppler-glib4 (0.12.4-0ubuntu5) ...

Setting up poppler-utils (0.12.4-0ubuntu5) ...
Setting up telepathy-butterfly (0.5.11-0ubuntu1) ...

Processing triggers for libc-bin ...
ldconfig deferred processing now taking place
Processing triggers for python-central ...
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following packages were automatically installed and are no longer required:
  linux-headers-2.6.32-21 linux-headers-2.6.32-21-generic
Use 'apt-get autoremove' to remove them.
0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.
chase@chase-desktop:~$

It just started working. Sorry about the trouble