7.
Direct variation is:

Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:

Divide 10 to both sides:

Plug this in for 'k' in our formula:

This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':

Multiply:

9.
Let's plug in y = 9 and x = 8 into our formula:

Divide 8 to both sides:

So our equation is:

Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:

Divide 9/8 to both sides or multiply by its reciprocal 8/9:
Answer:
d = 576
Step-by-step explanation
Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.
Let the time traveled by the fast car = t
Let the time traveled by the slower car = t+4
Let the rate of travel of the slow car = 36 mph
Let the rate of travel of the fast car = 48 mph
===========
d = 36*(t + 4)
d = 48 * t
Since the distance is the same, they can be equated.
48t = 36(t + 4) Remove the brackets.
48t = 36t + 144 Subtract 36t from both sides.
48t - 36t = 144 Combine
12t = 144 Divide by 12
t = 144/12
t = 12
Therefore the faster car takes 12 hours to get where it is going.
d = 48 * t
d = 48 * 12
d = 576
<h3>
Answer: C. 3/7</h3>
There are 3 places in which are cities and they are in North America (Houston, Miami, Toronto). This is out of 7 places total.
Answer:
Step-by-step explanation:
a. (11x) + (22x)= 33x
b. (-6x) - (-6x) = 0
c. (-13) + (14x) - (+13t) = -13t + 14x - 13
d. (-4t) + (+4t) - (-6t) = 6t