Algebra - math word problems - page 253 of 292
Number of problems found: 5829
- Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he
- Remembers: 28341
My mother forgot the PIN code of her ATM card, which consisted of 4 different numbers. Help her put it together if she remembers: And - all the numbers were even B - zero in the pin code was not C - the first number was a multiple of the second number, wh
- Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at a simple interest rate of 12% per annum. After one year of taking the loan, he rents the house at the rate of 5200 per month. Determine the number of years he would take to re
- Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
- AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252
- Indirectly: 55581
Prove indirectly: No odd natural number is divisible by four.
- Two ports
Two ships commute along the same route between the ports of Mumraj and Zmatek. They spend negligible time in ports, turn around immediately, and continue sailing. At the same time, a blue ship departs from the port of Mumraj, and a green ship departs from
- 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
- 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
- Final exam
There are five learners in a class that has written a final exam. Aleta scored 55%, Vera scored 36%, and Sibusiso scored 88%. If Thoko scored 71% and the class average was 63%. What was Davids's score as a percentage?
- N percentille problem
Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2
- 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
- Arithmetic 82287
If the arithmetic mean of the numbers a1, a2, a3, a4, and a5 is the number A, the arithmetic mean of the numbers a1, a2, a3, and a4 is the number B, then what is a5 equal to?
- Previous 43371
The sum of three natural numbers, five greater than the previous one, is 204. What are the numbers?
- Numbers 42291
How many five-digit odd numbers exist?
- Complaints
The table is given: days; complaints 0-4; 2 5-9; 4 10-14; 8 15-19; 6 20-24; 4 25-29; 3 30-34; 3 1.1 What percentage of complaints were resolved within two weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal nu
- Resistance 80700
Determine the largest voltage on a resistor with a resistance of 150 ohms if the largest permitted electrical power current in the resistor is 2 W.
- Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption do we start?
- Three subjects
In a class of 40 students, 18 passed mathematics, 19 passed accounting, 16 passed economics, five mathematics and accounting only, six mathematics only, nine accounting only, and two accounting and economics only. Each student was offered at least one of
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