Themes, topics - math word problems - page 40 of 174
Number of problems found: 3474
- Building a wall
If 12 men can build a wall 398 meters long in 48 days, how long would it take 33 men to build a wall 347 meters long? Answer to 3 decimal places. - A particle 2
If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2 m, t = 0.5 s. Determine the velocity and displacement when t = 10 s. - Ivan rented
Ivan rented a truck for one day. The base fee was $14.95, and he drove an additional charge of 73 cents for each mile. When he returned the truck, he had to pay $114.96. How many miles did he drive the truck? - Car fuel
Tanya drove 3 1/2 hours and used 1/3 tank of gas. For how long could Tanya drive using a 1/2 tank of gas? Enter your answer as a mixed number in the simplest form in the box. - A bag 4
A bag contains 18 balls that differ only in colour: 11 are blue and 7 are red. Two balls are picked one after the other without replacement. Find the probability that both are: (i) blue, (ii) the same colour, (iii) different colours. - A bus 3
A bus has a petrol tank in the shape of a cylinder. The cylinder is 125 cm long and has a diameter of 42 cm. (i) How much will a full tank of petrol cost at the rate of 5.23 per liter? (ii) If the bus uses petrol at 12.5 liters for every 50 km, how far ca - Electric charge
The electric current in a microprocessor circuit is 0.230 μA. How many coulombs pass a given point in the circuit in 1.50 ms? - A speedboat
A speedboat goes 900 km against a current of 25 km/hr. Its trip took 10 minutes longer than it would have taken to travel with the current. What is the speedboat's speed in still water? - Wood floats
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700 kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman mat - Water 63
Boiler heated water at the rate of 6°c per minute for 14 minutes. It then cooled at the rate of 8°c per minute. What would be its temperature after 24 minutes if its original temperature was 40°c? - Tourist route time
How long would a tourist walk the route if he measured 24.9 cm on a map with a scale of 1:25000? The marching speed is 4 km/h. - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - North + west
Find the magnitude of the resultant of the given vectors: vector 1:2 m/s, north vector 2:7 m/s, west - Transform 4
Transform to a positive angle in standard position: 24° west of north - The distance 2 The distance between the two ports M and N is 2100 km. If two ships travel towards each other, with one ship leaving port M at 20 km/h and at the same time another ship from port N traveling at 15 km/h. (I) How long will it take the two ships to meet? (ii
- Radioactive decay
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago. - What power 2 What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours? Comparing the power generated by the pump vs. the power generated by the motor, which is more efficient? Which pump or motor generates more pollution if, for every watt
- A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation in seconds to express your friend's height in feet at any given ti - Impulse, force and momentum
A 50 kg mass is sitting on a frictionless surface. An unknown constant force pushes the mass for 2 seconds until the mass reaches a velocity of 3 m/s. What is the value of the unknown force? b) prove that Impulse and momentum will have an equal value thro - The change The change in momentum of an unknown object was 56 Ns. What was the force applied when it moved a distance of 2 m in 10 seconds?
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