<span>Simplifying
2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms:
20 + -26x = 60 + -34x
Solving
20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation.
20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x
20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0
20 + 8x = 60 + 0
20 + 8x = 60
Add '-20' to each side of the equation.
20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0
0 + 8x = 60 + -20
8x = 60 + -20
Combine like terms: 60 + -20 = 40
8x = 40
Divide each side by '8'.
x = 5
Simplifying
x = 5</span>
Okay lets get started.
I drove 110 miles with speed of 55 mi/hr so the time taken =
time = distance / speed
time = 110 / 55 = 2 hrs For the distance which is covered with 55 mi/hr speed.
Total time for reaching home is 4 hrs 15 minutes. (given in question)
Means rest distance after snow is covered in = 4 hrs 15 minutes - 2 hrs
= 2 hrs 15 minutes = 2 + 15/60 = 2.25 hrs
The speed in snow driving is 35 mi/hr
So distance covered in snow driving is = 2.25 * 35 = 78.75 miles
Hence the total distance = 110 + 78.75 = 188.75 miles : Answer
Hope that will help :)
Answer:
P(t) = 27000 * (1/9)^(t/4)
Step-by-step explanation:
This problem can me modelled with an exponencial formula:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.
So, our function will be:
P(t) = 27000 * (1-8/9)^(t/4)
P(t) = 27000 * (1/9)^(t/4)
Answer:
two cost 5.6 dollars
Step-by-step explanation:
8.4 / 3=2.8$
2.8*2=5.6$
