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:
yes your class mate is correct ..........
Hello from MrBillDoesMath!
Answer:
The first choice, Pi + (-Pi) = 0
Discussion:
Pi is an irrational number. Saying the irrational numbers <u>are</u> closed under addition means if we add two irrational numbers we will get another irrational number. In our case, Pi + (-Pi) = 0, which is correct, BUT 0 is a <u>rational </u>number. This shows the set of irrational numbers is NOT closed under addition.
Thank you,
MrB
Answer:
1 7/8 cups leftover
Step-by-step explanation:
The total amt. of sugar Suze needs is 5(1 1/2 cups) = 15/2 cups, or 7.5 cups.
Combining the 3 1/4 and 6 1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total. She needs only 7.5 cups of this sugar.
Thus, she has leftover the following amount: 9 3/8 - 7 4/8 cups, which
simplifies to 1 7/8 cups
Answer: 72 units^2
Explanation:
Triangle to the left, you do 5(6) and get 30, but since it's a triangle, you divide by 2 and get 15. Middle rectangle, 6(8) is 48. Right triangle, 3(6) is 18, 18/2 is 9. Add them all up 15+48+9 and you get 72. Hope this helped!
