Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.
It's asking "what number can we add to both sides of this equation so that we isolate x?"
Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)
So we really have this equation: x+20 = 25
We can add -20 to both sides to cancel out the +20 on the left side
x+20 = 25
x+20+(-20) = 25+(-20) ...... add -20 to both sides
x = 5
This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25
Because the ratio of acceptance is 9:100, we simply multiply both by 2:
9:100 = 18:100
The chances of her admitting the 18th student is Option B., 100%
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).
Answer:
-2/3
Step-by-step explanation:
The slope is -2/3 because the slope formula, y2-y1/x2-x1
