Answer:
$395
Step-by-step explanation:
Answer:
V = -9
Step-by-step explanation:
-15V - 40 = 23 - 8V
The objective is to get V alone. To do this, first subtract -15V from both sides. Since -15V is a negative, subtracting it will be adding a positive.
-40 = 23 + 7V
Now that there is only one term with the variable V, subtract 23 from both sides.
-63 = 7V
Finally, divide both sides by 7 to get V completely isolated.
-9 = V.
The final answer is V = -9.
This should be recognized as the difference of perfect squares which is of the form:
(a^2-b^2) and the difference of squares always factors to:
(a-b)(a+b) in this case:
(3x-8)(3x+8)
Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles
Therfore he travels an average of 11.7 miles to work.
It would be: 5/2930 = 0.0017
