Answer:
We know that the equation for the speed is:
Speed = Distance/time.
First, we know that he walks 2 miles in 15 minutes.
distance = 2miles
time = 15 minutes
Then his speed in that interval is:
Speed = (2 mi)/(15 min) = (2/15) miles per minute.
Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)
We use again the equation:
Speed = Distance/Time
But we isolate Time, to get:
Time = Distance/Speed
Where:
Distance = 5 miles
Speed = (2/15) miles per min
Time = (5 miles)/((2/15) miles per min) = 37.5 minutes
She needs 37.5 minutes to walk the 5 miles.
Answer:
75 minutes or 1 hr and 15 minutes
Step-by-step explanation:
for history, he studied 2 hrs and 40 minutes....thats a total of 160 minutes
this is 10 minutes more then twice the time he spent on his last exam.
let x represent the time spent on last exam
160 = 2x + 10
160 - 10 = 2x
150 = 2x
150/2 = x
75 = x.......so he spent 75 minutes (or 1 hr and 15 minutes) on his last exam
Can you show all the answer choices, so I know if I am correct or not?
Establish two right triangles, both with the height of the pole, h.
Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.
Apply Pytagora's equation to both triangles.
1) h^2 = 7^2 - x^2
2) h^2 = 8^2 - (6-x)^2
Eaual 1 to 2
7^2 - x^2 = 8^2 - 6^2 +12x -x^2
12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21
x = 1.75
Substitue x-value in 1
h^2 = 49 - (1.75)^2 = 45.94
h = sqrt(45.94) = 6.78
Answer: option d.
Answer:
the first one and the third and the fourth
Step-by-step explanation: