Idaho Society of Professional Engineers
Friday Update - 06/04/04
UPCOMING EVENTS:
● IBPEPLS Board Meeting, June 11 & 12, 2004
● NSPE 2004 Convention and Expo, July 8 -
10, 2004, Honolulu, Hawaii
● NSPE Western and Pacific Regional
Meeting, September 17-18, 2004, Coeur d'Alene, ID
MATHCOUNTS NEWS
- ESPN2 is currently planning to broadcast the 2003 and 2004 MATHCOUNTS National
Competitions back to back on Friday, June 11, beginning at 11am ET.
- President Bush personally congratulated the National Champions and their
coaches in the Oval Office May 18.
Additional information is available at
www.mathcounts.org.
Updated Manual Answers Licensure Law Questions
NSPE has published an updated version of
Engineering Licensure Laws, a reference book that provides the details
on engineering laws in all states, U.S. territories, and Canadian provinces. The
reference guide tells how each state, territory, and provincial law addresses
issues such as continuing education, application and renewal fees, licensure by
reciprocity, and business and association practices.
For more information or to order, see
NSPE's online catalog or call 800-417-0348. Engineering Licensure Laws
(Product #2015-B) is $125 for NSPE members and $325 for nonmembers.
Individual summaries of
state, territory, and province licensing laws are also available for download.
Each summary is $10 for members or $35 for nonmembers.
MATHCOUNTS PROBLEM OF THE WEEK
Can you solve this MATHCOUNTS problem? The answer will appear in next
week's edition of the Friday Update!
Time for Yearbooks!
The end of the school year is when students across the country get excited to
see the school’s yearbook! In Talia’s yearbook, the student’s individual photos
are printed in rows of four pictures. Each picture is 1.25 inches wide and the
width of the page is 8.5 inches. The four pictures in a row are spaced on the
page such that the amount of empty space is the same between each pair of
consecutive pictures and at each end of the row of pictures. What is the number
of inches between a pair of consecutive pictures in a row? Express your answer
as a common fraction.
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After finding her own individual picture in the yearbook, Talia flipped to the
Clubs section to find the picture of the Math Club. The club had five girls and
four boys in the picture. Talia remembered the photographer’s directions when
the shot was taken: “All girls are in the back row and the boys are in the front
row. The tallest girl should go in the middle and each of the two shortest girls
should be on an end of the back row. Each of the two shortest boys should be on
an end of the front row, too.” Since none of the nine students were the same
height, what is the total number of photo arrangements that would have satisfied
the photographers instructions?
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Talia and her best friend both had favorite numbers. They were 7 and 10.
Therefore, they decided that they would either sign or write a message on every
page of each other’s yearbook that was a multiple of seven or ten. The yearbook
has 76 pages. On how many pages of Talia’s yearbook did her friend leave a
message or sign?
Answer to last week's problem:
The total trip will be 600 miles. If we divide this by 22, we see that the
roundtrip will require 27.273 gallons of gasoline. If each gallon costs $2.11,
the gas for the roundtrip will cost 27.273 × 2.11 = $57.55. (If the number of
gallons of gas needed is rounded to 27.27, the total cost only comes out to
$57.54.)
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If the bill had been split nine ways, then each person would be responsible for
$14.95. However, it was decided that a child’s meal should not be weighted the
same as an adult’s meal. Since there were six adults and three children, and it
was decided that a child’s portion of the bill should be equal to a third of an
adult’s portion of the bill, we can really count the three kids as one adult and
assume that there were seven adults. Dividing the entire bill by seven, we see
that an adult’s portion of the bill is $19.26. This means that a kid’s portion
is 19.26 ÷ 3 = 6.42. Therefore, the Zappones paid 2(19.26) + 1(6.42) = $44.94.
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Since we’re told that at least three of the rolls were 40-pointers, we know
those accounted for 120 of the 180 points. This means that her remaining six
rolls resulted in 60 points. (Note that if the combinations listed below only
include three rolls, it’s understood that the remaining three rolls resulted in
zero points.) A total of 60 points could be accomplished in the following ways:
(one 50, one 10), (one 40, one 20), (one 40, two 10), (two 30), (one 30, one 20,
one 10), (one 30, three 10), (three 20), (two 20, two 10), (one 20, four 10) and
(six 10). This is a total of 10 combinations.
If you want to see last week's problem again, click on
http://www.mathcounts.org/Queries/POW_Archive.taf?_function=detail&Q_A_uid1=496&_UserReference=3CD90E44E9A4578940BE0F71
Idaho Society of Professional Engineers
PO Box 170239
Boise, ID 83717-0239
208-426-0636
Fax: 208-426-0639
E-Mail: ispe@rmci.net
Web Site: www.Idahospe.org
Idaho
Society of Professional Engineers
