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In the xy-plane, which of the following is the x-intercept of the line whose equation is $$y = \frac{x}{4} -3$$ ?
If $$x$$ and $$y$$ are integers, where $$10 \lt x \lt 80$$ and $$100 \lt y \lt 900$$, what is the greatest possible value of $$y - x$$ ?
$$a_1, a_2, a_3, ..., a_n, ...$$
The $$n$$th term of the sequence shown is $$a_n= \frac{n}{5}-12$$ for all integers $$n \geq 1$$

Quantity A

The least value of $$n$$ such that $$a_n \gt 0$$

Quantity B

$$50$$


The price of n nails is d dollars. At this rate, what is the price of $$n+600$$ nails, in dollars?
List $$L$$ consists of $$9$$ different numbers, all of which are positive integers. The median of the numbers in $$L$$ is $$11$$. What is the least possible average (arithmetic mean) of the numbers in $$L$$?
"revolutionary" and "unique" are words that have become________ : every century in human history is described as unique, and every year, somewhere in the world, some event is characterized as revolutionary.
The growth of kelp in the kelp bed communities of the North Pacific Ocean is _________ sea otters: the otters prey on kelp-eating sea urchins, keeping the urchin population in check.
Thomsen may have tried to explain his recent egregious actions as those of an obedient civil servant, but to his fellow citizens the former security chief (i)________ the threatening tactics employed by the security forces that have maintained authoritarian rule in the country for 300 years and have (ii)________ everything from elections to eligibility for free medical prescriptions.

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