Answer:
see explanation
Step-by-step explanation:
given that V is directly proportional to u and inversely proportional to f , then the equation relating them is
V = 
← k is the constant of proportion
(a)
to find k use the condition when u = 1 and f = 3 , V = 
, then
= 
( cross- multiply )
6k = 3 ( divide both sides by 6 )
k = 
= 
V = 
← equation of proportion
(b)
when f = 4 and V = 1 
= 
, then
= 
= 
( cross- multiply )
4u = 40 ( divide both sides by 4 )
u = 10
42=(2w-6)+(2w-6)+w+w
42=6w-12
54=6w
w=9
42=2l+18
24=2l
l=12
length= 12cm, width= 9cm
answer: Abdul spent $21.70 on video games and $12.60 on DVD's.
Step-by-step explanation:
so what they mean by "similar" is just that the shapes are the same but different sizes. since we have the measurement for sides PM, MN and TQ, we can figure it out. we have to think of it as a ratio. so PM/TQ = MN/QR. if we plug the amounts in its 57/23 = 40.3/QR. then we cross multiply. so thats 23 x 40.3 which is 926.9. then we divide 926.9 by 57 which is 16.2614035. rounding to the nearest tenth is 16.3
20x+50=450
-50 -50
20x=400
Divide both sides by 20
X=20
