Answer: 7.5
Form your proportion. Let x be the width of QRST.
Length of ABCD Length of QRST
----------------------- = -------------------------
Width of ABCD Width of QRST
8/5 = 12/x
Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5
Answer:
n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.
Step-by-step explanation:
Answer:
There is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race…the swim! They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide. The athletes are packed in trying fighting for the front. If we assume that 10 athletes can occupy 25 square feet, how many triathletes are?
10 yds x 200 yds = 2000 sq yds.
2000 x 9 = 18000 sq ft
18000/25 = 720 sections that are 25 sq ft
720 sections x 10 people/section = 7200 triathletes
Step-by-step explanation:
a=adult tickets
s = senior tickets
a+s=465 a = 465-s
23a + 13s = 7145
substitute in a = 465-a
23 (465-s) + 13s = 7145
distrubute
10695 - 23s +13s =7145
combine like terms
10695 - 10s = 7145
subtract 10695 from each side
-10s = -3550
divide by -10
s = 355
senior tickets sold 355
