Answer:
2667 dump truck loads
Step-by-step explanation:
To solve this exercise, we must resort to a proportion rule.
Knowing what happened in the first place, how much was needed, a direct proportion will be made with the other accident, be as follows.
Landslide Dump Truck Loads
3 yd ^ 3 -------------------------------------------> 200
40 yd ^ 3 -------------------------------------------> X
X = (40 * 200) / 3
X = 2666.6, that is, for 40 cubic yards of sliding, approximately 2667 dump truck loads are needed.
Price of boots is represented as x, price of tennis shoes is represented as y.
x-y=44.38
x+y=196.12
Isolate x. (Or y, if you wanted to)
x=y+44.38
x=196.12-y
Set them equal to each other.
y+44.38=196.12-y
Solve for y. Then plug it in to either of the two original equations to find x.
x=120.24
y=75.86
Note: This is assuming that the boots are more expensive than the tennis shoes. If the tennis shoes are more expensive than the boots, then the prices would be switched. I didn't find this clear in your question.
Answer:
100 J
Step-by-step explanation:
Kinetic energy is jointly proportional to mass and the square of the velocity.
KE = 1/2mv²
KE = 1/2(50 kg)(2 m/s)² = 100 J
Juan has a kinetic energy of 100 joules.
The easiest method to solve problems like this is to graph the inequalities given and shade the regions that make them true. When you have properly shaded all of the regions, you will find that you have a region which is bounded on all four sides by one of the inequalities, and then you can find the x and y values which correspond to the vertices of the shaded region.
You didn't provide a function that you are trying to maximize in this example, but the idea is that you take all of the (x,y) points which correspond to the vertices and plug them into your objective function. The one which produces the largest value maximizes it (it is a similar process for minimizing it, but you'd be looking for the smallest value). Let me know if you need more help than that, or would like me to work out the example you have provided (I will need an objective function for it though).
