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题目内容
If $$3^{x}$$+$$3^{x}$$+$$3^{x}$$ = $$9^{x-2}$$, what is the value of x?
Each digit of a 20-digit number is either a 1, 2, 3, 4, or 5. If the average (arithmetic mean) of 15 of the 20 digits of the number is 2.8 and if M is the average of all 20 digits of the number, then M must satisfy which of the following inequalities?
The frequency distribution above summarizes the numbers of minutes, rounded to the nearest integer, that 46 students individually spent studying for an exam. Based on the information given, which of the following statements must be true?
Indicate
all
such statements.
The operation △ is defined by r△s=12$$r^{-1}$$(s+3) for all positive numbers r and s. If x△3=18, what is the value of x?
у=2x+1, where x > 0.
Quantity A: The percent increase in the value of у when the value of x is increas
Quantity B: 10%
x is the sum of all the even positive integers less than or equal to 50.
Y is the sum of all the odd positive integers less than or equal to 49.
Quantity A: X-Y
Quantity B: 25
When working at their respective rates, machine A produces 50 vases per hour and machine B produces 60 vases per hour.
Quantity A: The total number of vases machine A produces
Quantity B: The total number of vases machine B produces
|3r+2|=r+6
Quantity A: r
Quantity B: 0
x((75+y)+(15-y))=900
Quantity A: xy
Quantity B: 10
In the figure, point A is the center of the circle and points B and D lies on the circle. The length of DC is one-half of the length of AD.
Quantity A
The area of sector ABD
Quantity B
The area of triangle ABC
△MNO is inscribed in semicircle MNO with radius $$r$$.
Quantity A
$$x^{2}$$+$$y^{2}$$
Quantity B
$$4r^{2}$$
One day in 1997 at a gas station in the United States near the border of Canada,gasoline was selling for $1.20 per gallon (United States dollars). On that day, 1 United States dollar could be exchanged for 1.25 Canadian dollars. If gasoline was being sold at an equivalent rate at a gas station across the border in Canada, which of the following calculations gives an approximate price, in Canadian dollars, fora liter of gasoline at the Canadian gas station that day? (1 gallon is approximately3.785 liters.)
A restaurant made 200 pizzas, some of which has no toppings, while the others had at least one of three toppings-mushrooms, onions, and peppers- -as summarized in the table above. No pizza had all three toppings. How many of the pizzas had no toppings?
In square MNOP shown, the two shaded square regions have areas in the ratio 9to 1. If square region MNOP has area 144, what is the area of each of the two unshaded rectangular regions?
Which of the following could be a portion of the graph of y=$$(x+2)^{2}$$-5 in the xy plane?
k, m, and p are integers.
If K and m are negative integers, which of the following must be negative integers?
Indicate
all
such integers.
If k and n are each positive integers between 12 and 30, then $$\frac{5+k}{7+n}$$ will be equal to $$\frac{5}{7}$$ for many pairs of(k,n)?
For those industries that experienced a decrease in the value of mergers and acquisitions from the fist quarter of 2001 to the fist quarter of 2002, what was the range of the values of mergers and acquisitions in the first quarter of 2002?
In the real estate industry, the percent decrease in the value of mergers and acquisitions from the fist quarter of 2002 to the fist quarter of 2003 was the same asfrom the first quarter of 2001 to the fist quarter of 2002. If this percent decreasein' value was repeated again from the fist quarter of 2003 to the frst quarter of 2004, which of the following represents the value in the first quarter of 2004?
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