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The sum of two numbers is 23. The first number is 3/20 of the second number. What are the numbers? What is the smaller of the two numbers? What is the larger number of the two numbers?
find the least number of cables required to connect eight computers to four printers to guarantee that for every choice
A trough is 20 ft long and its ends have the shape of isosceles triangles that are 1.5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min, how fast is the water level rising when the wa..
Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.
A school district purchases a high-volume printer, copier, and scanner for $15,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be $3000. Write a linear equation giving the value V of the equipment..
1. form the converse of each of the following statements. state whether the converse is true or false.a if i live in
A "whispering room" is one with an elliptically-arched ceiling
the function w(d)=0.112d approximates the amount, in centimeter,s, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depthsof 10cm, 38cm, and 57cm.
The hypotenuse of a right triangle is 6.1 units long. The longer leg is 4.9 units longer than the shorter leg. Find the lengths of the sides of the triangle. Hint: Use the Pythagorean theorem to solve. Then, use any method to solve the quadratic e..
Kathy bicycles 8 km/h faster than Javier. In the same time, it takes Javier to bicycle 45km, Kathy can bicycle 69km. How fast does each bicyclist travel?
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
researchers asked a sample of 50 1stnbspgrade teachers and a sample of 50 12thnbspgrade teachers how much of their own
A cyclist travels 105 km in 7 hours going against the wind. He travels 133 km with the wind in the same amount of time. What is the rate of the cyclist in still air and what is the rate of the wind?
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