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There were 145 tickets sold. The adult tickets costs $8.00. The student tickets costs $2.25. Student tickets were 5 less than half of the adult tickets sold. The amount of money collected was $912.5. How many students and adults bought the tickets?
In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral: Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
Find the dimensions of the rectangle of the largest area that has its base on the x axis and its other two vertices above the x axis and lying on the parabola y=8-x^2.
Blaise drew a scale drawing of a swimming pool. In real life, the pool is 12 meters wide. It is 15 millimeters wide in the drawing. What is the scale of the drawing?
How much profit can they expect to earn if they produce 130,000 chips per week? calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
Evaluate the multiple integral under given condition using spherical coordinate - Convert the following triple integral to an appropriate coordinate system and evaluate.
The trough in the figure is to be made to the dimensions shown. Only the angle theta can be varied. What value of theta will maximize the trough's volume?
Waiting line model, As it is, models have been developed to assist managers understand and make better decisions concerning the operation of waiting lines
A one-story building is 190ft by 31ft. if a square patio with sides 20ft occupies the center of the building, how much area remains for offices
If you know the order of the normalizer N of can you find the generators for N? Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
Important information about Translation, Let a be a fixed vector in R2. A mapping of the form
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