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An ice cream shop will make sundaes using any combination of ice cream flavors, including chocolate and vanilla. On a

An ice cream shop will make sundaes using any combination of ice cream flavors, including chocolate and vanilla. On a certain day, the manager noted that \(80\%\) of the sundaes made included chocolate ice cream and \(20\%\) of the sundaes made included both chocolate and vanilla ice cream. How many...


A pool has sprung a leak and is losing water at a rate of \(5\) milliliters per second. How many liters of water is this

A pool has sprung a leak and is losing water at a rate of \(5\) milliliters per second. How many liters of water is this pool losing per hour? (\(1\) liter \(= 1,000\) milliliters)

A. \(3\)
B. \(6\)
C. \(12\)
D. \(18\)
E. \(24\)

The OA is D


Each block from bin \(A\) is \(4\) inches tall, while each block from bin \(B\) is \(5\) inches tall. If \(12\) blocks

Each block from bin \(A\) is \(4\) inches tall, while each block from bin \(B\) is \(5\) inches tall. If \(12\) blocks are stacked on each other, including a blocks from bin \(A\) and \(B\) blocks from bin \(B,\) into a single column, is \(a > b?\) 1. \(b > 5\) 2. The height of the column is less th...


For any \(3\) given numbers, which of the following is always equivalent to adding the \(3\) numbers together and then

For any \(3\) given numbers, which of the following is always equivalent to adding the \(3\) numbers together and then dividing the sum by \(3?\) I. Ordering the \(3\) numbers numerically, from highest to lowest, and then selecting the middle number. II. Dividing each of the numbers by \(3\) and the...


Last summer, Roger worked \(x\) days at \(2\) hours/day at a job, and he was paid at a rate of \(r\) dollars per hour.

Last summer, Roger worked \(x\) days at \(2\) hours/day at a job, and he was paid at a rate of \(r\) dollars per hour. For the whole summer, he earned \(\$1000.\) This summer, he will work at another job that offers the same pay rate, \(r\) dollars per hour. This summer he will work \(H\) days at \(...


If \(f(n)=6n^2+4n+8\) and \(g(n)=4n^2-8n-11,\) the value of \(f(x)-g(x)?\)

If \(f(n)=6n^2+4n+8\) and \(g(n)=4n^2-8n-11,\) the value of \(f(x)-g(x)?\)

1. \(g(x)=-15\)

2. \(x^2+6x=7\)

The OA is D


Numbers \(x\) and \(y\) are chosen independently and uniformly at random from the interval \([0, 1].\) Which of the

Numbers \(x\) and \(y\) are chosen independently and uniformly at random from the interval \([0, 1].\) Which of the following numbers is closest to the probability that \(x, y,\) and \(1\) are the side lengths of an obtuse triangle? A. \(0.21\) B. \(0.25\) C. \(0.29\) D. \(0.50\) E. \(0.79\) The OA ...


Waugh jogged to a restaurant at \(x\) miles per hour, and jogged back home along the same route at \(y\) miles per hour.

Waugh jogged to a restaurant at \(x\) miles per hour, and jogged back home along the same route at \(y\) miles per hour. He took \(30\) minutes for the whole trip. What is the average speed at which he jogged for the whole trip? 1) The restaurant is \(2\) miles from home. 2) \(x=2\) and \(y=6\) The ...


A drawer contains \(7\) white shirts and \(3\) red shirts. What is the probability of picking a white shirt, followed by

A drawer contains \(7\) white shirts and \(3\) red shirts. What is the probability of picking a white shirt, followed by a red shirt if the first shirt is not put back in?

A. \(7/10\)
B. \(1/3\)
C. \(7/30\)
D. \(1/6\)
E. \(1/30\)

The OA is C


Joe and Bill drove separate cars along the entire length of a certain route. If Joe made the trip in \(12\) minutes,

Joe and Bill drove separate cars along the entire length of a certain route. If Joe made the trip in \(12\) minutes, how many minutes did it take Bill to make the same trip?

1) Joe's car burns twice as much fuel per mile as Bill's car
2) The route is \(14\) miles long

The OA is E


A shop sells \(6\) different flavors of icecream. In how many ways can a customer choose \(4\) ice-cream cones if they

A shop sells \(6\) different flavors of icecream. In how many ways can a customer choose \(4\) ice-cream cones if they contain only \(3\) different flavors?

A. \(15\)
B. \(60\)
C. \(105\)
D. \(125\)
E. \(126\)

The OA is B


Two cars, Car1 and Car2 move towards each other from \(X\) and \(Y\) respectively with respective speeds of \(20\) m/s

Two cars, Car1 and Car2 move towards each other from \(X\) and \(Y\) respectively with respective speeds of \(20\) m/s and \(15\) m/s. After meeting each other Car1 reaches Y in \(10\) seconds. In how many seconds does Car2 reach \(X\) starting from \(Y?\) A. \(15.5\) sec B. \(8.4\) sec C. \(33.6\) ...