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-1 < x < 1

Quantity A: |1-x|

Quantity B: 1
M > N

Quantity A

|-M| - |-N|

Quantity B

|-N| - |-M|


If x+|x|+y=7 and x+|y|-y=6 , then x+y=
What is the sum of all possible solutions of the equation

$$|x+4|^{2}$$ -10|x+4|=24
y > |x|, xy < 0

Quantity A

x+y

Quantity B

0


If |z| ≤ 1, which of the following statements must be true?

Indicate all such statements.
How many integer values of n satisfy the inequality | 3-n | ≤ 4 ?
If 6 ·| 4-k/3| > 12, which of the following could be the value of k ?

Indicate all such values.
X is the set of all integers n that satisfy the inequality 2 ≤ |n| ≤ 5.

Quantity A

The absolute value of the greatest integer in X

Quantity B

The absolute value of the least integer in X


If |3x+2| < 5, then which of the following statements must be true?

Indicate all such statements.

Quantity A

0.05 percent of 4,000

Quantity B

$$\frac{1}{200}$$ of 4,000


Quantity A

The number of tenths equal to 1.4

Quantity B

The number of hundredths equal to 1.3


If x > 0, which of the following expressions are equal to 3.6 percent of $$\frac{5x}{12}$$?

Indicate all such expressions.
x is an integer

Quantity A

22 percent of x

Quantity B

$$\frac{2}{9}$$ of x


x and y are integers greater than 5. x is y percent of $$x^{2}$$.

Quantity A

x

Quantity B

10


In a survey of drivers, 36% of male drivers hate driving at night, while 48% of female drivers hate driving at night. As a whole, 45% of all drivers hate driving at night. What is the ratio of male drivers to all the drivers in the survey?

Give your answer as a fraction.
If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fraction of those who do not have brown hair have red hair?
In a private library, biography books account for 5 per cent of all the paperback books, while paperback biography books account for 3 per cent of all the books, then what`s the percentage of paperback books among all the books?

_____%
A manufacturing company has plants in three locations: Indonesia, Mexico, and Pakistan. The company has 6,000 employees, and each of the employees works at only one of the plants. If $$\frac{3}{8}$$ of the employees work at the plant in Indonesia and if twice as many employees work at the plant in Mexico as work at the plant in Pakistan, how many employees work at the plant in Mexico?
A company has a certain number of trucks and limousines. If 60% of limousines have special autopilot system in place, while 24% of all cars are limousines equipped with such special autopilot system, then what is the ratio of the number of limousines to the number of all cars?

Give your answer as a fraction

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