Answer:
Barbara's speed in clear weather is
and in the thunderstorm is
.
Step-by-step explanation:
Let
be the speed and
be the time Barbara drives in clear weather, and let
be the speed and
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1). 
Also,
(2).
(3).
,
and
(4). 
From equations (2) and (3) we get:


putting these in equation (4) we get:

and substituting for
from equation (1) we get:

This equation can be rewritten as

which has solutions


We take the first solution
because it gives a positive value for 


.
Thus, Barbara's speed in clear weather is
and in the thunderstorm is
.
Answer:
The solution and complete explanation for the above question and mentioned conditions is given below in the attached document. I hope my explanation will help you in understanding this particular question.
Step-by-step explanation:
To get the mean distance that Jim jogged, you have to solve
for the total miles he was able to jogged divided by the number of days he
jogged.
6.5 miles + 5 miles + 3 miles + 2 miles + 3.5 miles + 4
miles = 24 miles / 6 days = 4
Therefore, the mean distance that Jim jogged is 4 miles.
Fraction is used to rename 5/6
Answer: $145 in interest.
Step-by-step explanation: 2% of $1,450 is $29. Multiply this by 5 and you get $145.