(1 h)/(11 qt) * (12 qt)/(1 barrel) * (120 barrels/pickup) * (1 day)/(24 h)
.. = 12*120/(11*24) day/pickup
.. = 5 5/11 days/pickup
120 barrels will be filled every 5 5/11 days. Some trips will be 5 days apart, some trips will be 6 days apart.
Answer:

Step-by-step explanation:
We can write a rational function.
We need to make sure our denominator both have zeroes at 3 and 10.
Set an equation equal to zero to find the function




So we would represent that's as

and

Multiply the two binomial together.

Let our numbetator be any interger.
Use any equation as long as the quadratic is the denominator and the interger is the numerator.

Answer:
all work is shown and pictured
Answer:

Step-by-step explanation:
To find the equation, use the slope-intercept formula:

m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:

Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

Solve:

Since both are negative, the result is a positive:

Insert this into the equation as m, the slope:

Done.
Answer:
The triangles shown are<u> proportional</u>
Step-by-step explanation:
Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.
B = N
M = M
12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.
Side MN would be 12
Side MP would be 16