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题目内容
How many points (x, y) lie on the line segment between $$(22 . (12)\frac{2}{3}) and (7 . (17)\frac{2}{3})$$ such that x and y are both integers?
In the xy-coordinate system, a circle with radius$$\sqrt30$$and center (2,1) intersects the x-axis at (k ,0). One possible value of k is
If ABCD is a square, what are the coordinates of C?
Line k is in the rectangular coordinate system. If the x-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
In the xy-coordinate system, line k has y-intercept 12 and an x-intercept greater than zero. If the area of the triangular region enclosed by line k and the two axes is 30, what is the slope of line k?
In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?
The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If∠ABC=90°, what is the area of triangle ABC?
The figure shows the graph of the equation $$y=k-x^{2}$$, where k is a constant. If the area of triangle ABC is $$\frac{1}{8}$$, what is the value of k?
Give your answer to the
nearest 0.01
_____
If k is the greatest positive integer such that $$3^k$$?is a divisor of 15! then k =
In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed?
Sid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Sid have meant to type?
How many multiples of 5 are there between 81 and 358?
A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?
How many three-digit numbers are there such that all three digits are different and the first digit is not zero?
In how many different ways can 3 boys and 3 girls be seated in a row of 6 chairs such that the girls are not separated, and the boys are not separated?
From a total of 5 boys and 4 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?
In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?
N equals the number of positive 3-digit numbers that contain odd digits only.
Quantity A
N
Quantity B
125
Main course: Chicken, Beef, Tofu
Side dish: Rice, Salad, Soup, Pasta
Dessert: Pie, Cake
A meal at a certain restaurant consists of 1 main course, 2 different side dishes and 1 dessert.
Quantity A
Number of different meals possible
Quantity B
36
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