Dale drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when dale drove home, there was no traffic and the trip only took 5 hours. if his average rate was 18 miles per hour faster on the trip home, how far away does dale live from the mountains? do not do any rounding.
Answer:
Dale live 315 miles from the mountains
Step-by-step explanation:
Let y be the speed of Dale to the mountains
Time taken by Dale to the mountains=7 hrs
Therefore distance covered by dale to the mountain = speed × time = 7y ......eqn 1
Time taken by Dale back home = 5hours
Since it speed increased by 18 miles per hour back home it speed = y+18
So distance traveled home =speed × time = (y+18)5 ...... eqn 2
Since distance cover is same in both the eqn 1 and eqn 2.
Eqn 1 = eqn 2
7y = (y+18)5
7y = 5y + 90
7y - 5y = 90 (collection like terms)
2y = 90
Y = 45
Substitute for y in eqn 1 to get distance away from mountain
= 7y eqn 1
= 7×45
= 315 miles.
∴ Dale leave 315 miles from the mountains
Answer: 21°
Step-by-step explanation:
Since angles DAE and CBE are inscribed on arc AC, they r equal
Hence angle CBE = 42°
So angle DAE = 42/2 = 21°
Since 3 neckties will be out from the
store, so you need to know how much is the cost of 3 ties.
$59.99 x 3 = $179.97 and divide it by two
because the costumer will only pay for 2
$179.97 / 2 = $89.99 is the new price
Mark up = 89.99 – 59.99 = $30.00
% mark up = [(89.99/59.99) -1] * 100
= 50%
<span> </span>
Answer:
1
Step-by-step explanation:
21 = 3*7
65 = 5*13
CGF: to find the greatest common factor, multiply those factors both numbers have in common
GCF :1 since there are no factors in common