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!!!
Answer:
$6.66
Step-by-step explanation:
20 times 4 = 80 and 80 divided by 12 is 6.66666667
Answer:
64
Step-by-step explanation:
you just need to multiply 8 by itself to get it
(a)
In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.
The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,
The amount of vitamins (in grams) for a price of x dollars.
(b)
Let P(n) = x, So
Replace n by x and x by n in the given equation.
Simplify the equation for x.
So inverse of function is after interchange of variables,
(c)
Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).
So answer is 6.5.
