1. If you draw a Venn diagram, you will see 244 in only band 161 in only orchestra 73 in both 122 neither
out of 600 244 /600 + 161 /600 = 405/600 = 27 /40
'speed of closure ' = 50 - 45 = 5 mph 1/3 m / 5 mph = 1/15 hr ( 4 mins)
Bill has 300 ft to cover
the people 120 ft in front of him have 180 feet to cover at conveyor speed = 180 feet/3 ft/sec = 60 seconds
and everyone finishes at the same time Bill has covered the 300 ft in 60 seconds 300ft/60s = 5 ft/sec
x = miles when they equal
Rus charges $ 4 + $3/mi * x call a charges $ 2 + $ 4/mi *x now equate them
4 + 3x = 2 + 4x
2 = x at 2 miles the charges are equal
65 % means 65 out of 100 are tulips 65/100 or 13/20 reduced
Let's change them to log10
log (98) / log 2 - 2 log 7 / log 4 - 2
1.80735
Yah it is ! 21^2 + 20^2 = 29 ^2
SO there IS a right angle at B which means AB is tangent......
2x+2y+xy=83
What do you want to do with this hyperbola????
It is tangent IF the angle at B is a right angle......know how to tell ?
Pythagorean therom....if it IS a right triangle then
21^2 + 20^2 = 29^2 does it? Find out !
f = five point q's
t = two point qs = 38 - f
five point total will be 5f
two point total will be 2 (38-f) summed together = 100 points
5f + 2 (38-f) = 100 solve for f , the number of 5 point q's then the remaining questions, the 2 pointers = 38-f