If p varies directly with q, and p = 10 when q = 5, what is the value of p when q = 20

1 answer:

8 0

The value of p would be 40. This is because the ratio of p:q = 10:5. this could be simplify into p:q = 2:1. Applying the ratio p:20 = 2:1, P=40.

You might be interested in

Write the system of equations shown on the graph, then give the solution to the system.

Andrej [43]

Step-by-step explanation:

Let's start with solving for line L using slope-intercept form (y=mx+b)

We can see that the y-intercept is 4, and the slope is rise/run. From point (5,2) to (0,5), the rise is 2, and the run is -5 (it goes backwards 5).

Using this, we can form our equation for Line L: y = -2/5x + 4

Now let's solve for Line M.

There is something very important to notice before we jump into this. Both of these lines (Line L and M) are parallel (they never touch) and therefore will contain the same slope as each other (-2/5). The y-intercept for this equation we can see is -1, as the line touches (0,-1). Now lets form our equation;

Line M: y = -2/5+4

Solving a system of equation means to find two (or more) line's interceptions on a graph (where they meet/touch). Because both of these lines are parallel and never touch each other, there is no definite answer. Therefore our answer is No Solutions.