Algebra

Submitted by Benjie Magallano on

A 1,260-galloon tank is filled by two pipes in as many as the smaller pipe brings in galloons per minute. How long will it take each pipe to fill the tank if the larger pipe brings in one galloon per minute more than the smaller pipe?

Minimum amount of money that must be spent before three gumballs of the same color are dispense

Submitted by Jhun Vert on

A vending machine dispenses gumballs in a regular repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispense?

At what angle with the direction of motion of the ship must the gun be pointed in order to hit the target?

Submitted by Jade Nopre Mijares on

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A ship is traveling at a speed of 20 knots. (A knot is a nautical mile per hour, a nautical mile being approximately 1.1516 statute mile of 5280 feet each.) When directly opposite a target it fires a gun whose projectile has a velocity of 2000 feet a second. At what angle with the direction of motion of the ship must the gun be pointed in order to hit the target?

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Submitted by Tonette Villanueva on

A constant horizontal force of 10 lb rests on a body of smooth horizontal plane. The body starts from rest and is observed to move 250 ft in 5s.
a). What is the mass of the body?
b). If the force ceases to act at the end of 5s, how far will the body move in the next 5s?

differential equation: Show that if f and f' are continuous on a ≤ x ≤ b then f and f' are linearly independent on a ≤ x ≤ b

Submitted by Dutsky Kamdon on

Show that if f and f' are continuous on a ≤ x ≤ b and f(x) is not zero for all x on a ≤ x ≤ b,
then f and xf are linearly independent on a ≤ x ≤ b.