The equation would be : 10y + 3x = 50
Hope this helps :)
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
Bleh, I’m not sure because I don’t know and stuff
For this case what we must do is to use the formula of the resolvent in the following way:
x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
Where,
a = 1
b = -4
c = -38
Substituting the values:
x = (- (- 4) +/- root ((- 4) ^ 2 - 4 * 1 * (- 38))) / (2 * 1)
x = (4 +/- root (168)) / 2
x = (2 +/- root (42))
Answer:
x = 2 +/- squareroot 42
