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Y is a point on line segment XZ such that XY =$$\frac{1}{2}$$XZ. If the length of YZ is 4a + 6, and the length of XZ is 68, then a =

_____
Talk show host Ralph Burke has exactly one guest on his show each day, and Burke`s show airs every Monday through Friday. Burke always schedules politicians on Mondays and Wednesdays, actors on Tuesdays and athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Burke`s show. If Burke has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Burke create?
$$\frac{x}{6}+2=\frac{6}{2}$$

$$\frac{y}{3}+2=\frac{9}{3}$$

Quantity A

$$\frac{x-1}{y}$$

Quantity B

$$\frac{y-1}{x}$$


Quantity A

The distance that Bob drives in 3 hours at a speed of 44 miles per hour

Quantity B

The distance that Inez drives in 2 hours and 30 minutes at a speed of 50 miles per hour


0 < x < y < 1

Quantity A

$$\frac{x}{y}$$

Quantity B

$$\frac{y}{x}$$


y > 0

Quantity A

$$0.98(8.21)y$$

Quantity B

$$821\frac{y}{98}$$


12.5 percent of k is 80. k is y percent of 80.

Quantity A

y

Quantity B

650


Set P = {a, b, c, d, e, f, g}

Set Q = {a, b, c, d, e, f}

a, b, c, d, e, f, and g are distinct integers

Quantity A

Range of Set P

Quantity B

Range of Set Q


Series F is defined as$$F_n=F_n-1+3andF_1= 10.$$

Quantity A

$$The sum ofF_4through F_{10}$$

Quantity B

$$The sum ofF_6throughF_{11}$$


A number, n, is multiplied by 6. The product is increased by 24. Finally, the entire quantity is divided by 3. Which of the following expresses the final result in terms of n ?
The average (arithmetic mean) of a and b is 10, and the average (arithmetic mean) of c and d is 7. If the average (arithmetic mean) of a, b, and c is 8, what is the value of d ?

_____
In the coordinate plane, square ABCD has vertices at A (3, 7), B (3, 12), C (8, 12), and D (8, 7). What is the area of ABCD ?
The table above shows the number of houses sold per week for the month of July by two real estate agents, Peter and Dylan. What is the difference between the median number of houses sold per week by Dylan and the median number of houses sold per week by Peter? GRE、gre题库、gre模考、gre考满分
At Flo`s Pancake House, pancakes can be ordered with any of six possible toppings. How many different ways are there to order pancakes with three toppings?
The area of triangle KLM is equal to the area of rectangle ABCD. If the perimeter of ABCD is 16, what is the length of LM ? GRE、gre题库、gre模考、gre考满分
Each of the 576 houses in Tenantville is owned by one of the following landlords: Matt, Gavin, Angela, or Susan. Matt and Angela together own twice as many houses as Gavin and Susan own. If Gavin owns 100 more houses than Susan owns, and Matt owns 100 more houses than Angela owns, how many houses does Susan own?
One-quarter of the cars that an automobile manufacturer produces are sports cars, and the rest are sedans. If one-fifth of the cars that the manufacturer produces are red and one-third of the sports cars are red, then what fraction of the sedans is red?

_____/_____
A candy jar has 4 lime, 10 cherry, 8 orange, and x grape candies. Tom randomly selects a candy from the jar. The probability that he selects an orange candy is greater than 20 percent. Which of the following could be the value of x ?

Indicateallpossible values.
Square ABCD and a circle with center C intersect as shown. If point E is at the center of ABCD and if the radius of circle C is k, then what is the area of ABCD, in terms of k ? GRE、gre题库、gre模考、gre考满分
In Year Y, the population of Massachusetts was approximately what percent of the population of Vermont?

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