Fraction word problems - page 173 of 177
A fraction is a mathematical expression that represents a part of a whole. It is written as two numbers separated by a line or a slash, with the number on top called the numerator and the number on the bottom called the denominator. The numerator represents the number of parts of the whole being considered, and the denominator represents the total number of parts the whole is divided into. For example, if you have a pizza and you want to share it with 3 people, each person gets 1/3 of the pizza. The numerator (1) represents the number of parts each person gets, and the denominator (3) represents the total number of parts the pizza is divided into. Fractions can be simplified, compared, added, subtracted, multiplied, and divided like any other number.Number of problems found: 3526
- Calculate 71684
Calculate the mass of water that gave off 520.5 kJ of heat when cooled from 69 °C to 27 °C. - Distance between two cities
The car went from A to B in 4 hours. The car was up 15 km/h faster on the way back. The return trip took 48 minutes shorter than the way there. Find the distance of cities A and B. - TV fail
The TV has average 30 failures after 10,000 hours. Find the probability of TV failure after 300 hours of operation. - Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism.
- 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 - Together 81974
Two gears mesh together. The larger wheel has 56 teeth, and the smaller wheel has 20 teeth. How many times does the smaller wheel turn if the larger wheel turns 15 times? - Walking
Lucie can walk about 3 4/5 miles each hour. How far can she walk in 2 hours 45 minutes? - Space vectors 3D
The vectors u = (1; 3; -4), v = (0; 1; 1) are given. Find the size of these vectors, calculate the angle of the vectors, and the distance between the vectors. - Quadrilateral pyramid
The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place.
- Potential 12431
From what height does a hammer weighing 200 kg fall if its initial potential gravity was 6 kJ? - 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. - Cross-section 71254
The steel conductors of the long-distance power line have a cross-section of 5 cm². Calculate the resistance of a steel wire with a length of 2 km if the resistivity of the steel is 13 * 10-8 Ω · m. - Magnitudes 64704
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '. - To convert
To convert from a Celsius temperature to a Fahrenheit temperature, multiply the Celsius temperature by 9/5 and add 32. Which is the Fahrenheit temperature corresponding to - 30 degrees Celsius?
- River
Calculate how many permille river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL. - Observatories 82707
Target C is observed from two artillery observatories, A and B, 296m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target from observatory A. - Carbon dioxide
Calculate how many grams of oxygen are in 50 g of carbon dioxide CO2. The relative atomic mass of oxygen is 16 and of carbon is 12. - The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed? - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
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