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题目内容
Which of the following expressions must be equal to (x+7)(x+5) for all x?

Indicate all such expressions.


In the figure shown, D is the center of the circle. What is the measure of angle ADC?
A woman donated 1 percent of her annual salary to a college, and 20 percent of her donation was deposited in the college's scholarship fund. What fraction of her annual salary was deposited in the college's scholarship fund?
The regular subscription rate for satellite TV service from Company S is $70 per month. The company offers new subscribers a one-year promotional rate consisting of a flat fee of $45 for the first 6 months of service and a fee of $42.50 per month for the next 6 months. If a new subscriber pays the promotional rate for the first year of service and then pays the regular rate for the second year of service, what is the percent increase in the total annual cost of service from the first year to the second year?


For the packaging material landfilled, the combined number of tons for the two types with the greatest numbers of tons landfilled accounted for approximately what fraction of the total number of tons landfilled for the five types?


In the circle graph shown, the measure of the central angle of the sector representing plastic is how much greater than the measure of the central angle of the sector representing metal?

Give your answer to the nearest whole degree.

_____degrees


The ratio of the number of tons of paper and paperboard landfilled to the number of tons of paper and paperboard generated is closest to which of the following?
n=50!

What is the greatest prime factor of n?

_____
1.3, 1.9, 2.4, 2.4, 3.6, 4.4, 5.3, 5.7, 7.5, x

The list shows the weights, in kilograms, of 10 packages shipped today by a certain company, where x is at least 7.5. If a and b are the average (arithmetic mean) and the median, respectively, of the weights, in kilograms, of the 10 packages, which of the following could be the value of a - b?

Indicate all such values.
Let a, b, and c be integers greater than or equal to 2. When b is divided by c, the remainder is 0. When a is divided by b, the remainder is c. Which of the following is equal to the remainder when a is divided by c?


In triangle ABC shown, what is the length of line segment AD ?
In the xy-plane, the point (t, t-1) lies on the line with equation y = $$ - \frac{1}{2}$$ x +$$\frac{1}{3}$$ . What is the value of t?
Two seating arrangements of people around a circular table are called the same if, for each seated person, the same person is seated to that person`s immediate right in both arrangements.

Quantity A

The number of different seating arrangements of 4 people around a circular table

Quantity B

8
There are 25 students in Ms. Ware's class-15 of these students take French, 12 of these students take Spanish, and 8 of these students take Latin. If all 25 students in Ms.Ware's class take at least one of these three language courses, which of the following is the greatest possible number of students in the class who could be taking all three language courses?
Each time a certain coin is tossed, the probability is $$\frac{1}{2}$$ that it will land head up and $$\frac{1}{2}$$ that it will land tail up. If the coin is tossed 3 times, what is the probability that it will land heads up exactly twice?
If both the sum and the product of the four positive integers a, b, c and d are even, while the product of a, b, c and d is multiple of 8, but not multiple of 16, then what is the number of these integers that could be even?
0 < s < t

Quantity A

$$\frac{s}{t}$$ +0.4

Quantity B

$$\frac{5s+2t}{5t}$$
The average (arithmetic mean) of the 4 integers q, r, s and t is 0.

Quantity A

The average of the 4 integers q+10, r, s and t

Quantity B

The average of the 5 integers q, r, s, t, and 10


The circumference of a circle with radius 3 is divided into 4 areas of lengths w, x, y, and z, as shows.

Quantity A

The average (arithmetic mean) of w, x, y, and z

Quantity B

2π

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