Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
correct Option is B i.e, 
whose simplified form is: 
Step-by-step explanation:
We need to solve the expression:
![2[(6x)(6x)]+4[(12x - 9)(6x)]](https://tex.z-dn.net/?f=2%5B%286x%29%286x%29%5D%2B4%5B%2812x%20-%209%29%286x%29%5D)
Solving:
![2[(6x)(6x)]+4[(12x - 9)(6x)]\\=2[36x^2]+4[(12x*6x)-(9*6x)]\\=72x^2+4[72x^2-54x]\\=72x^2+288x^2-216x\\=360x^2-216x](https://tex.z-dn.net/?f=2%5B%286x%29%286x%29%5D%2B4%5B%2812x%20-%209%29%286x%29%5D%5C%5C%3D2%5B36x%5E2%5D%2B4%5B%2812x%2A6x%29-%289%2A6x%29%5D%5C%5C%3D72x%5E2%2B4%5B72x%5E2-54x%5D%5C%5C%3D72x%5E2%2B288x%5E2-216x%5C%5C%3D360x%5E2-216x)
So, correct Option is B i.e, whose simplified form is:
Keywords: Surface area of the rectangular prism
Learn more about surface area of the rectangular prism at:
#learnwithBrainly
The CPI increased from 29.6 to 82.4.
The rate of increase, is:
82.4/29.6 = 2.78
Now multiply this rate to the $0.14 price of grapes from 1960.
$0.14 x 2.78 = $0.39
Now to get the amount of increase subtract the new price from the original price:
$0.39 - $0.14 = $0.25 increase.
It will take her 8 weeks to save up enough money for the bike.
To get the answer first you have to subtract 125 from 245 to see how much money she still has to save then divide the answer which is 120 by 15 and you get 8. Hope this helps!!
