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A perfect number is defined as one for which the sum of all the unique factors less the number itself is equal to the nu

A perfect number is defined as one for which the sum of all the unique factors less the number itself is equal to the number. For instance, 6 is a perfect number, because the factors of 6 (apart from 6 itself) are 1, 2 and 3, and 1+2+3=61+2+3=6. Which of the following is also a perfect number? A 12 ...


If a portion of a half water/half alcohol mix is replaced with 25% alcohol solution, resulting in a 30% alcohol solution

If a portion of a half water/half alcohol mix is replaced with 25% alcohol solution, resulting in a 30% alcohol solution, what percentage of the original alcohol was replaced?

A 3%
B 20%
C 66%
D 75%
E 80%


The average (arithmetic mean) of 4 different positive integers is 125 and the largest of these integers is 150, what is

The average (arithmetic mean) of 4 different positive integers is 125 and the largest of these integers is 150, what is the least possible value of the smallest of the 4 integers?

A 1
B 2
C 12
D 53
E 100


Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 bo

Romi has a collection of 10 distinct books out of which 8 are small and 2 are large. In how many ways can he select 5 books to take with him on a trip if he can take at most 1 large book?

A 56
B 126
C 152
D 196
E 252


A certain bakery has 6 employees. It pays annual salaries of $14,000 to each of 2 employees, $16,000 to 1 employee, and

A certain bakery has 6 employees. It pays annual salaries of $14,000 to each of 2 employees, $16,000 to 1 employee, and $17,000 to each of the remaining 3 employees. The average (arithmetic mean) annual salary of these employees is closest to which of the following? A. $15,200 B. $15,500 C. $15,800 ...


A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the bo

A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd? A. $$\frac{1}{4}$$ B. $$\frac{3}{8}$$ C. $$\frac{1}{2}$$ D. $$\frac{5}{...


If (2^x)(2^y) = 8 and (9^x)(3^y) = 81, then (x, y) =

If (2^x)(2^y) = 8 and (9^x)(3^y) = 81, then (x, y) =
A. (1,2)
B. (2, 1)
C. (1, 1)
D. (2, 2)
E. (1, 3)

by sambati

Tue Jul 21, 2020 10:54 am
Forum: Problem Solving
Topic: If (2^x)(2^y) = 8 and (9^x)(3^y) = 81, then (x, y) =
Replies: 0
Views: 126

Re: In the Antares Corporation, 3/7 of the managers are female. If there are 42 female managers, how many...

Assume the number of managers is X. The questions says that 3/7 of the managers are female and that there are 42 female managers. Translate this into an equation:
$$\frac{3}{7}$$ of X = 42
$$\frac{3}{7}$$ * X = 42
3X = 42*7
X = $$\frac{42\cdot7}{3}$$
X = 98