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.
Answer:
Step-by-step explanation:
X= 5 or -8
Add all the like terms and set it equal to 49, use quadratic formula or factoring.
Answer:
x = 6
<u><em>Sorry if this answer is not correct, if it is or is not, please tell me in the comments!</em></u>
Step-by-step explanation:
All of the angles add up to 180 degrees (since it is a triangle), so
(11x - 3) + (7x + 5) + (13x - 8) = 180
Then, combine the like terms.
31x - 6 = 180
Now, out goal is to separate the x from everything. To do that, we need to add 6 to 180.
31x = 186
Then divide by 31.
x = 6
(Feel free to replace x with 6 back in the previous equation to double check it!)
