Answer:
a. d = 1500 - 300t. b. after 2 hours and after 4 hours
Step-by-step explanation:
a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t is given by
d = 1500 - 300t.
b.If Jamie distance d = 900 ft, then the equation becomes,
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
The equation d = 1500 - 300t. also models his distance from the peak of the mountain if he hikes down at a constant rate of 300 ft/hr
At d = 900 ft, the equation becomes
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.
So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.
He wil eat a total of 55.2 hot dogs. there 60 seconds in a minute . he plans to eat 1 hotdog in every 13 seconds . you divide 60 by 13 . he will eat 4.6 hot dogs in a minute . then you multiply 4.6 by 12.
maple syrup = x
corn syrup = 50-x
6x + 0.8(50-x)=2.36*50
6x+40-0.8x=118
5,2x=78
x= 15 gallons of maple syrup
50-15 = 35 gallons of corn syrup
Answer:
34.10
Step-by-step explanation:
Note:
16% = .16
Important:
What was the <u>old price</u> of the shoes
Solution:
40.60 x .16 = 6.946 [Round:6.50]
40.60-6.50= 34.10
Hence, the old price of the shoes is $34.10