Given:
speed = distance / time
walking: 3 miles per hour
running 5 miles per hour
for a total of 3 hours.
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8
7/8 * 60 mins = 52.50 minutes
t = 1 hour and 52.5 minutes
It took Stu 1 hour and 52.5 minutes to hike the trail one way.
Answer:
$4.80
Step-by-step explanation:
Make a proportion
$12 for 2.5 pounds, and $x for 1 pound
12/2.5=x/1
x/1 is equivalent to x
12/2.5=x
Divide
x=4.8
So, one pound of peanuts costs $4.80
Answer:
$4
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
3^(4x + 2) = 9^(x + 2)
Make 9 with base 3.
3^(4x + 2) = (3^2)^(x + 2)
3^(4x + 2) = 3^(2x + 4)
Cancel bases.
4x + 2 = 2x + 4
Subtract 2 and 2x on both sides.
4x - 2x = 4 - 2
2x = 2
Divide 2 on both sides.
x = 1
