Let n = cost of 1 notebook
Let p = cost of 1 pencil
Then,
3n + 4p = 8.5
5n + 8p = 14.5
You can solve for one variable in terms of the other and then substitute into the remaining equation.
3n + 4p = 8.5
+ 5n + 8p = 14.5
Multiply the top equation by -2 so that the p-containing terms cancel each other out:
-2(3n + 4p = 8.5)
+ 5n + 8p = 14.5
-n + 0 = -2.5
So after dividing both sides by -1, we see that n = $2.5. Plugging into the first equation gives p = $0.25.
3n + 4p = 8.5
5n + 8p = 14.5
Watch closely. I'll try to go slow.
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You said d = r t
Divide each side by ' t ' : d / t = r
Answer:
242 members voted in favor while 193 members voted against
Step-by-step explanation:
Let those that voted against be x will those in favor will be (x+49)
Since today number of voters is 435
To find x
X + (x+49) = 435
2x + 49 = 435
2x = 435 - 49
2x = 386
X = 386/2
X = 193
Therefore, those against is 193 while this in favor is 193+49 = 242
We can re-group them to add more easily.
300 + 400 = 700
42 + 16 = 58
700+58 = 758
Answer: 758
We have to find the parameter a so that (-1,2) is part of the function f(x) = ax²+4.
To check if a point is part of a function, we can replace the values of x and y = f(x) with the coordinates of the point and then, if the equation stays true, then the point is part of the function.
So for (x,y) = (-1,2) to be part of the function y = f(x), this equation has to stands true:

Then, the function would have to be f(x) = -2x² + 4.
We can check with a graph as:
Answer: a = -2