Answer: the trip is 127 1/5 miles
Step-by-step explanation:
The distance that the martinez family drove from home to the ski lodge is 45 4/5 miles. Converting 45 4/5 miles to improper fraction, it becomes 229/5 miles.
Then, they drove an additional 17 4/5 miles to there friends house. Converting 17 4/5 miles to improper fraction, it becomes 89/5 miles
This means that the total distance that they drove while going is
229/5 + 89/5 = 318/5 miles
If the family drove the same route back home, then the distance traveled during there trip is
2 × 318/5 = 636/5 miles
Converting to mixed fraction, it becomes
127 1/5 miles
if you don't have a Unit Circle, this is a good time to get one, you'd need it, you can find many online.
Check the picture below.
Answer:
x = 3, -1/2
Step-by-step explanation:
Use the quadratic formula: x = [-b ± √b² - 4ac]/2a
The square root sign should be over the entire expression b² - 4ac
In this problem, a = -6, b = 15, and c = 9
So, putting in those values, we get x = -15 ± √225+216, all divided by -12
Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR
6/-12 = -1/2
3x+1=43
3x=42 (take one from each side)
x=14 (divide each side by 3)
the answer is 14
