|
For a certain television show, $$\frac{1}{4}$$ of each $$\frac{1}{2}$$ hour episode is taken up by commercials. What is the total number of hours in a 24-episode season of the show that are not taken up by commercials?
|
|
An employee at a parcel delivery company weighs four boxes labeled $$A, B, C$$, and $$D$$. Box $$A$$ weighs $$\frac{1}{4}$$ kilogram and boxes $$B$$ and C each weigh $$\frac{5}{4}$$ kilograms. The ratio of the weight of box $$A$$ to the weight of box $$B$$ is the same as the ratio of the weight of box $$C$$ to the weight of box $$D$$. What is the weight of box $$D$$, in kilograms?
Give your answer as a fraction. _________kilograms
|
|
What is the greatest possible value of $$ ||x|-3|$$ for$$ -2 \leq x \leq 3$$?
|
Carlos owns twice as many books as Surya and one-third as many books as Ian. Ian owns 10 more books than Emma.
Which of the following statements individually provide(s) sufficient additional information to determine how many books Carlos owns?
Indicate all such statements.
|
At a fruit market, the price of each peach is $$x$$ cents and the price of each plum is $$y$$ cents. If the total price of 4 peaches and 3 plums is equal to the total price of 7 peaches and 2 plums, which of the following statements must be true?
Indicate all such statements.
|
|
If $$(x-2)(x-5)=0$$, which of the following must be true?
|
|
A total of 64 cubical blocks, each 3 inches on an edge, are stacked in layers to form a large cubical block. What is the volume, in cubic inches, of the large block?
|
|
A manufacturer bought 500 pounds of compound $$C$$ in 1997 and, through a process costing a total of $50, produced from it 450 pounds of compound $$B$$, which was then sold in 1998. lf the compounds were bought and sold at the rates shown in the table and if the only costs to the manufacturer were the cost of the compound $$C$$ and the processing, what was the manufacturer' s total profit from this transaction?
|
In a survey of 100 teenagers, 71 of the teenagers reported using at least one of three social media sites—$$A, B$$, and C—and 30 reported using all three sites. At least 15 of the teenagers reported using only site A and
at most 15 of the teenagers reported using only site $$B$$. Which of the following values could be the number of teenagers who reported using only site $$C$$?
Indicate all such values.
|
