Answer: it will take 2.33 hours for the snow fall in both of the towns be equal.
Step-by-step explanation:
Let x represent the number of hours that it will take for the snow fall in both of the towns be equal.
A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. This means that in x hours, the depth of snow in the town would be
6x + 2
A nearby town has accumulated 9 inches of snow and the depth is increasing by 3 inches every hour. This means that in x hours, the depth of snow in the town would be
3x + 9
For the snow fall in both of the towns be equal, the number of hours would be
6x + 2 = 3x + 9
6x - 3x = 9 - 2
3x = 7
x = 7/3 = 2.33 hours
Solve for x:
3 x - 18 = 39
Add 18 to both sides:
3 x + (18 - 18) = 18 + 39
18 - 18 = 0:
3 x = 39 + 18
39 + 18 = 57:
3 x = 57
Divide both sides of 3 x = 57 by 3:
(3 x)/3 = 57/3
3/3 = 1:
x = 57/3
The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:
Answer: x = 19
Answer:
x = -9
Step-by-step explanation:
3^16 = (1/9)^x
9^18 = 9^-x
On comparing co-efficients :
-x = 9
x = -9