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student tickets to the prom cost $25 each if purchased ahead of time. Tickets purchased at the door cost $35. A total of 85 tickets were sold for the prom and $2,325 was collected. How many tickets were sold ahead of time and how many were sold at the door?
There are six sections of Math with a total enrollment of one hundred and ninety nine students, what is the smallest possible number of students in the section with the largest enrollment?
In a sample batch of 52 mechanical pencils it is assumed that 20 are defective. If 3 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Draw a scalene triangle and label the vertices, A,B, AND C. The side opposite vertex A is line segment BC. Find the midpoint of line segmentBC by constructing the bisector of line segmrnt BC. label the midpoint M.
A ship travels 50 km on a bearing of N27°E. It then makes a left turn of 90° and travels for 140 km. Find the bearing of the ship to the starting point. Round the answer to one decimal place.
Joe has a ring weighing 20 grams made of an alloy of 20 % silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 73 %. How many grams of silver should he add?
Please show me how to complete these problems correctly with the actual graph. Solve each absolute value equation and graph the solution set.
Kelly Fisher has a total of $33,000 invested in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $2920, how much does she have invested in each bond?
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y.
A ball has been dropped from the top of a building. Its height (in feet) after t seconds is given by the function H(t) = =16t^2+256. How far will the ball travel during the third second?
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
find the area of the surface of the cylinder z^2 +y^2=9 lying in the first octant between planes y=x^2 and y=3x
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