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Each of the 20 employees at Company J is to receive an end-of-year bon
Each of the 20 employees at Company J is to receive an end-of-year bonus this year. Agnes will receive a larger bonus than any other employee, but only $500 more than Cheryl will receive. None of the...
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Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised
Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as much as Beth. How much did Beth raise?A. $9B.$10C.$12D.$13E.$15PS90731.02
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The set of solutions for the equation (x^2 25)^2 = x^2 10x + 25 co
The set of solutions for the equation \((x^2 25)^2 = x^2 10x + 25\) contains how many real numbers?A.0B.1C.2D.3E.4PS16731.02
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An aerosol can is designed so that its bursting pressure, B, in pounds
An aerosol can is designed so that its bursting pressure, B, in pounds per square inch, is 120% of the pressure, F, in pounds per square inch, to which it is initially filled. Which of the following...
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The average (arithmetic mean) of the positive integers x, y, and z is
The average (arithmetic mean) of the positive integers x, y, and z is 3. If x < y < z, what is the greatest possible value of z ?A.5B.6C.7D.8E.9PS00986
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The hard drive, monitor, and printer for a certain desktop computer sy
The hard drive, monitor, and printer for a certain desktop computer system cost a total of $2,500. The cost of the printer and monitor together is equal to 2/3 of the cost of the hard drive. If the...
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A manufacturer wants to produce x balls and y boxes. Resource constrai
\(7x + 6y \leq 38,00\)\(4x + 5y \leq 28,00\)A manufacturer wants to produce x balls and y boxes. Resource constraints require that x and y satisfy the inequalities shown. What is the maximum number of...
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Jos has a collection of 100 coins, consisting of nickels, dimes, quar
Jos has a collection of 100 coins, consisting of nickels, dimes, quarters, and half-dollars. If he has a total of 35 nickels and dimes, a total of 45 dimes and quarters, and a total of 50 nickels and...
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If x is a positive integer, r is the remainder when x is divided by 4,
If x is a positive integer, r is the remainder when x is divided by 4, and R is the remainder when x is divided by 9, what is the greatest possible value of r^2 + R ?A.25B.21C.17D.13E.11PS18180.02
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Each of the nine digits 0, 1, 1, 4, 5, 6, 8, 8, and 9 is used once to
Each of the nine digits 0, 1, 1, 4, 5, 6, 8, 8, and 9 is used once to form 3 three-digit integers. What is the greatest possible sum of the 3 integers?A.1,752B.2,616C.2,652D.2,775E.2,958PS34550.02
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Given that 1^2 + 2^2 + 3^2 + . . . + 10^2 = 385, what is the value of
Given that \(1^2 + 2^2 + 3^2 + . . . + 10^2 = 385\), what is the value of \(3^2 + 6^2 + 9^2 + . . . + 30^2\) ?A.1,155B.1,540C.1,925D.2,310E.3,465PS19941.02
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If m is an integer and m = 10^32 32, what is the sum of the digits
If m is an integer and \(m = 10^{32} 32\), what is the sum of the digits of m ?A.257B.264C.275D.284E.292PS24000.02
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In 2004, the cost of 1 year-long print subscription to a certain newsp
In 2004, the cost of 1 year-long print subscription to a certain newspaper was $4 per week. In 2005, the newspaper introduced a new rate plan for 1 year-long print subscription: $3 per week for the...
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The United States mint produces coins in 1-cent, 5-cent, 10-cent, 25-c
The United States mint produces coins in 1-cent, 5-cent, 10-cent, 25-cent, and 50-cent denominations. If a jar contains exactly 100 cents worth of these coins, which of the following could be the total...
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What is the greatest positive integer n such that 5^n divides 10! (2
What is the greatest positive integer n such that \(5^n\) divides \(10! (2)(5!)^2\) ?A.2B.3C.4D.5E.6PS14051.02
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Yesterday, Candice and Sabrina trained for a bicycle race by riding ar
Yesterday, Candice and Sabrina trained for a bicycle race by riding around an oval track. They both began riding at the same time from the track's starting point. However, Candice rode at a faster pace...
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If n = 9! 6^4, which of the following is the greatest integer k such
If \(n = 9! 6^4\), which of the following is the greatest integer k such that \(3^k\) is a factor of n ?A.1B.3C.4D.6E.8PS66661.02
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Profile evaluation request
Thank you for reading my profile. Due to COVID-19, some schools have extended their deadlines for R3/R4 to June/July and it's made me think whether it's worth applying now to try to get in versus an...
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The integer 120 has many factorizations. For example, 120 = (2)(60), 1
The integer 120 has many factorizations. For example, \(120 = (2)(60)\), \(120 = (3)(4)(10)\), and \(120 = (1)(3)(4)(10)\). In how many of the factorizations of 120 are the factors consecutive integers...
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Jorge's bank statement showed a balance that was $0.54 greater than wh
Jorge's bank statement showed a balance that was $0.54 greater than what his records showed. He discovered that he had written a check for $x.yz and had recorded it as $x.zy, where each of x, y, and z...
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