If a is an even integer and b is an odd integer, what must the expression be?
Answer(s): E
Since the even number a is raised to the power of 3, it is always divisible by 8. Therefore, the whole expression must be an integer, an even or an odd one. Of course, the expression cannot be a fraction.
A salesperson gets a 15% commission on each sale he makes. How many sales of $270 each must he make in order to reach a salary of at least $1000?
Answer(s): C
The commission per sale is $40.5, multiply it by 25 sales and get to $1012.5.
In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?
Answer(s): B
Treat the two that seat together as one person, now there are only 4 people to be seated in 4 places. This task has 4! Ways=24. Remember that the two people sitting together can switch places on any of the 24 different ways, so we have 48 ways total.
The area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is?
The height of the trapezoid can be calculated using a right angle triangle of 3,4 and 5 created with the height, the side and half of the difference between the two bases. When finding the height of 4, the area is calculated as the product of the average of the bases and the height:
One gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in to make the orange juice 60% of the soft drink?
Answer(s): A
Use the average formula to solve the following equation: . X=0.5 gallon.
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