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A grade 11 class, on a field trip to Montreal, had lunch in a restaurant. The bill came to $239.25. Four students had birthdays that day, and it was agreed that these four should not have to pay for lunch. The other students had to pay $1 more than if all the students had paid. How many students had lunch?
Let G be the group of symmetries of a cube, including the orientation-reversing symmetries. Describe the elements of G geometrically.
A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $80 a pound to get a mixture that can be sold for $30 a pound. How many pounds of the $20 coffee should be used.
What are the vertical and horizontal forces of a 1200 N force directed to the right and upward at an angle of 43 degrees with the horizontal?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities?
write an eqution of a line containing the given point parallel to the given line.express your answer in the form y=mxb.the equation
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions?
The perimeter of rectancle z is equal to its area.Rectangle y has the same perimeter as rectangle z.The length of rectangle y is 5 inches and the width is 3 inches. How do you find the length and width of rectangle z?
The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 234 in.^2. What are the length and width of the rectangle?
Natural category representation To develop a theory of how people might represent mathematical objects in the mind, we should look to theories of how they represent more familiar objects such as dogs or tomatoes. What of this mathematics as tools?
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
a bike is on a stand such that the highest point of the back wheel is 47 inches above the ground. if the pedal is
An airplane covrs a distance of 1600 miles in 4 hours when it flies with the wind and 5 1/3 hours when it flies against the wind. What is the speed of the plane in still air?
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