Algebra - math word problems - page 262 of 303
Number of problems found: 6048
- Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
- Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have?
- Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.
- Arithmetic 84171
The arithmetic mean of two numbers is 10. One of the numbers is 2. What is the second number?
- HP - harmonic progression 2
Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively.
- Assuming 4015
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming
- Manufacturer 6981
The hotelier wanted to equip the dining room with new chairs. He chose the type of chair in the catalog. Only when placing an order did he learn from the manufacturer that they offered every fourth chair at half price as part of the discount offer and tha
- Harmonic series
Insert four members between 5/3 and 5/11 to form a harmonic series (means).
- Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 15 minutes stop. Joachim, meanwhile, continues at 5 km/h. When he set off again, Otto had the first running speed of 7 km/h, but it kept only 30 sec, and 1 minute must co
- Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
- Two trains
Through the bridge, long l = 240m, the train passes through the constant speed at time t1 = 21s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9s. a) What speed v did the train go? b) How long did a train
- Pizza master
Master says that he can split pizza into 16 parts by five equals straight cuts. Is it possible?
- Sawmill factory
Peter works in the factory. The bus stop is 10 km from the factory. Therefore, when the bus arrives for Peter, the driver always leaves the factory and takes him to work. They arrived at the saw exactly at 8:00. Today, the bus arrived 11 minutes earlier,
- Factorization and primes
Write how many twos are in the prime factorization of the number 2024.
- Coordinates 83025
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3
- Lecturers 6099
Three lecturers will create 75 tasks in two and a half days. In how many days will it take at least five lecturers to create enough exercises for the exercise book, which should contain 300 exercises? (we assume that all tutors are equally efficient and w
- Direct route
From two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return
- Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
- The tourist
The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re
- What percentage
Petra made lemonade from one liter of 100% fruit juice and three liters of water. When she tasted it, she found that it was too sweet and would not be tasty for everyone. She left two liters of it for her friends. She added two more liters of water to the
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