Hikers on a backpacking trip take 2 hours and 10 minutes to hike the first 2.6 miles of an 8-mile hike. At this pace, which amount of time best approximates how long they will take to hike the entire 8 miles of the trip. A. 6 hours and 30 mins
B. 6 hours and 40 mins
C. 7 hours and 35 mins
D. 9 hours and 36 mins

B. 6 hours and 40 mins

Step-by-step explanation:

Create a proportion where x is the amount of time to hike the entire 8 miles.

Represent the time in minutes:

=

Cross multiply and solve for x:

2.6x = 1040

x = 400

Convert this to hours:

400/60

= 6.67 (6 hours and 40 mins)

So, the correct answer is B. 6 hours and 40 mins

answer: 1 and 3

step-by-step explanation:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15