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题目内容
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?
Each time a certain coin is tossed, the coin lands either heads up or tails up, and the probability that the coin will land heads up is equal to the probability that the coin will land tails up. $$N$$ is the greatest number of consecutive tosses of the coin for which the coin will land head up on every toss is greater than $$0.01$$.

Quantity A

$$N$$

Quantity B

$$6$$
When filled to capacity, canisters I, II, and III hold $$R$$, $$S$$ and $$T$$ pounds of sugar, respectively. Currently, canister I is $$\frac{5}{8}$$ full of sugar, canister II is $$\frac{1}{4}$$ full of sugar, and canister III is empty. If the sugar in canisters I and II is poured into canister III, canister III will be $$\frac{3}{4}$$ full. Which of the following expresses $$T$$ in terms of $$R$$ and $$S$$?
An art supply store will cut a rectangular mat to be used for a picture frame. The outside width of the mat will be from 9 inches to 12 inches, and the outside length of the mat will be from 10 inches to 15 inches. Which of the following could be the ratio of the outside width to the outside length of the mat? Indicate all such ratios.
$$\frac{3}{a} - \frac{b}{14}$$ =$$\frac{1}{7}$$ and $$\frac{a}{15}=\frac{2}{b}$$ If a and b satisfy the equations above, what is the value of $$\frac{a}{b}$$?

Give your answer as a fraction. $$\frac{a}{b}$$=_________
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
The price of p pencils is d dollars. At this rate, what is the price of $$(p+2,000)$$ pencils, in dollars?
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.
$$x \gt 0$$ $$y$$ is $$25$$ percent greater than $$x$$. $$y^2$$ is p percent greater than $$x^2$$.

Quantity A

$$p$$

Quantity B

$$50$$
The manufacturing cost of a certain car model in 1995 was 10 percent greater than its manufacturing cost in 1990 and 10 percent less than its manufacturing cost in 2000.

Quantity A

The manufacturing cost of the car model in 2000 as a percent of its manufacturing cost in 1990

Quantity B

$$120%$$
The regular price of each item in a store was reduced by 15 percent during a special one-day sale. The day after the sale, the reduced price of each unsold item was replaced by its regular price. The regular price of each unsold item was what percent greater than its reduced price? Give your answer to the nearest whole percent. _________%
The rental on a certain beach house is $1,225 per week during the months of June, July, and August, and $110 per day during the rest of the year. Renting the house for 1 week during June, July, or August is what percent greater than renting the house for 1 week during the rest of the year?_________% Give your answer to the nearest whole percent.
Four friends had a meal at a restaurant, and the total cost of their meal was $$p$$ dollars. After adding a gratuity of 20 percent of the total cost of the meal, the friends divided the total amount, including gratuity, equally among themselves. If each of them paid $18.00, what is the value of $$p$$?_________
When the integer k is divided by $$5$$, the remainder is $$2$$. What is the remainder when $$2k-1$$ is divided by $$5$$?
For each selling price greater than $300, a department store offers a discount equal to 10 percent of the first $300 and a discount equal to 15 percent of the amount of the selling price in excess of $300. What is the selling price for which the discount on the first $300 is the same as the discount on the amount in excess of $300?
Last year Juan planted a rectangular garden that was 20 feet long and 10 feet wide. This year he increased the length of the garden by 10 percent and the width by 20 percent. What was the percent increase in the area of Juan' s garden from last year to this year? _________%
The rate $$x$$ kilometers per hour is equal to the rate 10 centimeters per second.

Quantity A

$$xt$$

Quantity B

$$0.36$$

Quantity A

The time it takes Pat to drive 240 miles, driving at an average speed of 52 miles per hour

Quantity B

The time it takes George to drive 300 miles, driving at an average speed of 62 miles per hour
Antonia is driving a bus to City $$A$$. When she has driven half the total distance to the city, she notices that she has driven for 12 hours and averaged 35 miles per hour. She was scheduled for 19 hours driving time for the entire journey to City $$A$$. lf she is to arrive exactly on schedule, at what average speed, in miles per hour, must she drive the second half of the distance?

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