We need to calculate a total TIME.
Let the time required to cover distance d at 20 mph be x. d is the ONE WAY distance, not the total distance traveled (which would be 2d).
Remember the formula d=rt: the distance traveled equals the rate times the time. Here, d = rx, and thus x = d/r = d/(20mph)
Let's begin by recognizing that d(going) = d(returning)
Then (20 mph)x = 6 + (16 mph)x
(20 mph)x - (16 mph)x = 6 miles
Then: (4 mph)x = 6 miles
or: x = 1.5 hours
It takes the bird 1.5 hours at 20 mph to cover distance d, which is 30 miles.
Thus, the total time spent flying is 1.5 hours (going) and [1.5 hours + (6 miles)/(16 mph) returning:
1.5 hours + 1.5 hours + 0.375 hours = 3.375 hours total.
The total distance covered is 2d, or 2(30 miles) = 60 miles.
It took me a while and a lot of experimentation to arrive at these results. Please, if my arguments here are not clear, ask questions.
Answer:
the dashed line means you don't include any points on the line... and is represented by the inequalities
Step-by-step explanation:
Answer:
29 / n
Step-by-step explanation:
i don't know what you are asking here but if you wanted the equation in number form then that's your answer
Answer: 2,400
Step-by-step explanation:
Answer:
![b = ( - 8)](https://tex.z-dn.net/?f=b%20%3D%20%28%20-%208%29)
Step-by-step explanation:
![\frac{1}{4} b + 1 = \frac{1}{2} b + 3 \\ \frac{1b}{4} - \frac{1b}{2} = 3 - 1 \\ \frac{1b}{4} - \frac{1b \times 2}{2 \times 2} = 2 \\ \frac{1b}{4} - \frac{2b}{4} = 2 \\ \frac{1b - 2b}{4} = 2 \\ \frac{ - b}{4} = 2 \\ - b = 2 \times 4 \\ - b = 8 \\ b =( - 8)](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20b%20%2B%201%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20b%20%2B%203%20%5C%5C%20%20%5Cfrac%7B1b%7D%7B4%7D%20%20-%20%20%5Cfrac%7B1b%7D%7B2%7D%20%20%3D%203%20-%201%20%5C%5C%20%20%5Cfrac%7B1b%7D%7B4%7D%20%20-%20%20%5Cfrac%7B1b%20%5Ctimes%202%7D%7B2%20%5Ctimes%202%7D%20%20%3D%202%20%5C%5C%20%20%5Cfrac%7B1b%7D%7B4%7D%20%20-%20%20%5Cfrac%7B2b%7D%7B4%7D%20%20%3D%202%20%5C%5C%20%20%5Cfrac%7B1b%20-%202b%7D%7B4%7D%20%20%3D%202%20%5C%5C%20%20%5Cfrac%7B%20-%20b%7D%7B4%7D%20%20%3D%202%20%5C%5C%20%20-%20b%20%3D%202%20%5Ctimes%204%20%5C%5C%20%20-%20b%20%3D%208%20%5C%5C%20b%20%3D%28%20%20-%208%29)