If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance.
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back
19^2 or 361 is the answer to the equation
The correct answer is p=-8
b
Step-by-step explanation:
5+5=10
$1.50 +1.50=$3.00
<u><em>Answer:</em></u>
He would need to climb 480.97 m
<u><em>Explanation:</em></u>
The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle
Therefore, we can apply the special trig functions.
<u>These functions are as follows:</u>
sin(θ) =
cos(θ) =
tan(θ) =
<u>From the diagram, we have:</u>
θ = 12°
The distance that he needs to climb is the hypotenuse
The altitude = 100 m is the opposite
<u>Therefore, we can use the sin function as follows:</u>
sin(12°) =
hypotenuse =
hypotenuse = 480.97 meters to the nearest hundredth
Therefore, he would need to climb 480.97 meters
Hope this helps :)