<span>Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 301 for n = 100.
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Answer:
<u>375 Adult Tickets.</u>
Step-by-step explanation:
Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.
x = # of <u>adult</u> tickets sold
x + 65 = # of <u>student</u> tickets sold.
1) x + x + 65 = 815 (set both ticket amounts equal to the total)
2) 2x + 65 = 815 (added common variables together)
3) 2x = 750 (negated the +65, subtracted it from both sides)
4) x = 375 (divided both sides by 2)
5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.
Therefore,
Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.
Answer:
triangle KLM
Step-by-step explanation:
Take one point on the initial triangle and move it according to the given translation to locate the image. I used point G. Its coordinate plot is at
(2,3). I perform the operation of the given translation to this. (X1-X2, y1-y2).
So, (2-1, 3-8). The new coordinates will be (1,-5) and the only triangle with these coordinates is triangle KLM.
Yes, they're equivalent values.
