Algebra Questions help

[sean6800]

I was wondering if someone could help me with the following problem. I would realy appreciate it.

According to the U.S. Census, the population of the state of Arkansas during the year 2000 was 2.673 x 10 to the 6th . The total population of the U.S during the year 2000 was 2.814 x 10 to the 8th.

1. Determin the precent of the U.S. population that lived in Arkansas in 2000. Show or explain all of your work even if you use mental math or a calclulator. Round your answer to the nearest hundredth of a precent.


2. The land area of Arkansas is 52,068 square miles. Detemine the number of people per square miles in Arkansas for the year 2000. Write your answer in scientific notation.

 

[Gene]

The percent is
number in Ark/Total number * 100
(2.673*10^6) /(2.814 * 10^8) *10^2 =
(2.673*10^8)/(2.814*10^8) =
2.673/2.814

2. (2.673*10^6)/(5.2068*10^4) =
(2.673/5.2068)*10^2 =
267.3/5.2068

 

[sean6800]

Thank you so much that helped alot. I understand now how to do the problem. I might post back on this topic with one more question if I cant get the chance to get some help from the teacher tommorow. Once agian thank you for using your spare time to help me .

 

[Denis]

Thank you so much that helped alot. I understand now how to do the problem. I might post back on this topic with one more question if I cant get the chance to get some help from the teacher tommorow. Once agian thank you for using your spare time to help me .

Boy, sean, we're sure not used to "nice polite" students like you :wink:

 

[sean6800]

Thanks. Well I have one last problem if its not a big bother. I unfourtantly didnt have time to get help today so here is the last problem on my worksheet that I need help with.

The Amazing Museum has a butterfly house of 1,200 butterflies. There are 3 types of butterflies, Swallowtail, Monarch, and Lacey, in a ratio of 5:3:2.

1. The museum staff members randomly catch a butterfly, mesure its wing span and then let it go. Determine the probability that the first butterfly they catch is a swallowtail butterfly. Show or explain all of your work even if you use mental math or a calculator.

2. Using the ratio above, determine the number of each type of butterfly in the butterfly house. Show or explain all work.

3. Each week for 5 weeks the museum adds 20 swallowtail, 96 Monarchs, and 64 Laceys to the butterfly house. Determine the new ratio in lowest terms of butterflies in the house after 5 weeks. Show or explain all work.

Thanks

 

[Mrspi]

Thanks. Well I have one last problem if its not a big bother. I unfourtantly didnt have time to get help today so here is the last problem on my worksheet that I need help with.

The Amazing Museum has a butterfly house of 1,200 butterflies. There are 3 types of butterflies, Swallowtail, Monarch, and Lacey, in a ratio of 5:3:2.

1. The museum staff members randomly catch a butterfly, mesure its wing span and then let it go. Determine the probability that the first butterfly they catch is a swallowtail butterfly. Show or explain all of your work even if you use mental math or a calculator.

2. Using the ratio above, determine the number of each type of butterfly in the butterfly house. Show or explain all work.

3. Each week for 5 weeks the museum adds 20 swallowtail, 96 Monarchs, and 64 Laceys to the butterfly house. Determine the new ratio in lowest terms of butterflies in the house after 5 weeks. Show or explain all work.

Thanks

1) the ratio of swallowtails to monarchs to lacey's is 5:3:2.
So, out of (5 + 3 + 2) or 10 butterflies, 5 are swallowtails, 3 are monarchs, and 2 are laceys. That would give a ratio of 5:3:2, and the total would be 10.

The probability of a caught butterfly being a swallowtail would be 5/10, or 1/2.

2) 5/10 of the butterflies are swallowtails. 3/10 are monarchs, and 2/10 are laceys. You should be able to find the number of each type if the total in the museum is 1200....
for example, 5/10*(1200) would give the number of swallowtails.

3) You can find the number of each type of butterfly when the population is 1200 (see above).

Then, in x weeks, the number of swallowtails will be
number of swallowtails now + 20x

And in x weeks, the number of monarchs will be
number of monarchs now + 96x

And in x weeks, the number of laceys will be
number of laceys now + 64x

You should be able to fnd the ratio
swallowtails : monarchs : laceys

I hope this helps you.

 

[sean6800]

Once agian thanks for the help, and that helped me get it. Wish I had found this site sooner.

Thanks