Fraction word problems - page 172 of 175
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: 3492
- 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.
- Deviation 70744
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - 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. - 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? - Mechanical 80527
A stone with a mass of 2 kg falls in free fall from a tower with a height of 80 m. What is its kinetic energy, and what is its potential energy: a) At the beginning of the fall, b) In 1 s from the beginning of the fall, c) Upon impact, d) What is its mech - Kinetic energy
A 100 kg car has a velocity of 15 m/s. what is the car's kinetic energy?
- Calories 2
Ben eats approximately 2400 calories per day. His wife Sarah eats 5/8 as much. How many calories does Sarah eat per day? - Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[-17,9] B[-26,-19] C[-7,7]. - 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 - Observatories 64424
Objective C we observe from two artillery observatories, A and B, which are 975 m apart. The size of the BAC angle is 63 °, and the size of ABC is 48 °. Calculate the distance of points A and C. - A box 5
A cereal box states that there are 90 Calories in a 3/4 - cup serving. How many Calories are there in 4 cups of cereal?
- Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 167 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea - 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 2m, t = 0.5s. Determine the velocity and displacement when t = 10s. - Cosine
Cosine and sine theorem: Calculate all missing values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - Northeast 66694
Katka and Honza rode out on their scooters at the same time. Katka drove at a speed of 4.5 km/30 min, and Honza drove at a speed of 4 km/20 min. a) how many m did they travel in 2 minutes if they went in the opposite direction? b) how many miles did they - Truncated pyramid
Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees.
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