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The cube root of which of the following integers is equal to $$\sqrt[3]{3}$$+$$\sqrt[3]{192}$$+$$\sqrt[3]{375}$$?
A saltwater solution contains $$25$$ percent salt by weight. To $$1$$ kilogram of this solution, $$x$$ grams of salt and $$4x$$ grams of water are added , where $$x \gt 0$$.

Quantity A

The percent of salt in the resulting solution

Quantity B

$$25%$$


If an equilateral triangle with sides of length $$20$$ has an altitude of length $$20x$$, then $$x=$$?


The center of each of the five circles is point O. The radii of the five circles, from smallest to largest, are $$r$$, $$2r$$, $$3r$$, $$4r$$, and $$5r$$, respectively.

Quantity A

The area of the shaded region

Quantity B

The area of the striped region


A box manufacturer is designing a closed box in the shape of a rectangular solid. The ratio of the lengths of the sides of the box is 1 to 2 to 3. The total surface area of the box is 550 square inches. What is the volume of the box, in cubic inches?
2h+3k=5, 2j-k=2, what is the average of h, k, and j?


The table above summarizes customer satisfaction ratings for two banks, where each rating is an integer from 1 to 10. Which of the following statements must be true?

Indicate all such statements.
_______________ though individual mosquitoes appear, historically they have shown an impressive ability to travel, sometimes at stowaways in water casks and drinking vessels on ships travelling to distant continents.
Rocks of the Morrison Formation in the western United States yield many dinosaur fossils but few plant fossils. This apparent (i)___________ of plants leads some scientists to speculate that the region was once mostly barren. But others have (ii)__________, noting that the herbivorous dinosaurs there would have needed an abundant food supply.
The theater presented directors and designers with a remarkably (i)________ space, since the placement of the stage and of the audience could be (ii)_________ the needs of the production. And though audiences were sometimes unsettled when they found themselves thrust into the midst of the action, on balance they saw this as adding to the (iii)__________ of the performance.
Mathematical knowledge has long been regarded as being essentially stable and hence rooted in a world of ideas only superficially __________ to historical forces.
Despite the general ____________ of Roman archaeological studies toward the major cities and their monuments, archaeology has contributed much to a better understanding of rural developments in Roman territory.
If it is wrong to justify human selfishness on the basis of the alleged selfishness of nature, then it is equally mistaken to espouse ____________ merely because some animals happily assist each other.
Although the virtues of supplementing wild fish populations with fish from hatcheries are often ______________, scientific studies have indicated that fish stocking can harm the wild, native species of the water body.
While the rate at which absolute global sea level is rising may seem ___________, it has been far from an incidental factor in human history.
The photocopier, widely adopted in the 1960s, became not merely a vehicle for copying but one for publishing in ____________ manner, so that ideas could be circulated without interference from potential censors.
The benefits offered by information technology do not (i) ______________ the need for individual reasoning; for example, Internet users should not allow the reasoning process to be (ii) ______________ the mere accumulation of raw data.
Some consider the theorem Emmy Noether first published in 1918 to be as important as Einstein's theory of relativity, since much of today's vanguard research in physics is _____________ Noether's theorem.
The writer's expression of _____________ sentiments in fluid, vigorous prose is a strange blending of the high and the low—like an opera performed by sloppily dressed, unkempt musicians.
Meteorology is one of the few fields of applied science that demands prediction, since prediction involves considerable uncertainty and uncertainty is _____________ scientists, meteorology will continue to exist in a fraught intellectual space.

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