Algebra - math word problems - page 264 of 303
Number of problems found: 6048
- 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
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents.
- Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going?
- Letohrad 4396
On a map at a scale of 1:400,000, the distance between Letohrad and Prague is 4.5 cm. What speed does Dad have to go to be in Prague at 9 o'clock when he leaves at 6 o'clock, 40 minutes?
- Kilometers 4391
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
- Mr. Quick
Mr. Quick needs to drive from Brno to Prague. There is an oversized load on the D1 highway, which leaves Brno at 11:00 p.m. and its speed is 12 km/h. At what time should Mr. Quick set off first to avoid the traffic jam, i.e. to meet at the Humpolec exit a
- Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself?
- Mathematics 7806
Janko has committed that his average grade in mathematics will be exactly 2 at the end of the semester. However, so far, he has received grades 3 and 4. He knows that by the end of the year, he will receive four more grades from the tests. What are the wo
- Complaining 9611
Ondra, Mathias, and Kuba are returning from collecting nuts. They have a total of 120. Mathias complains that Ondra has the most, as always. The father orders Ondra to sprinkle it on his Mathias so that the number of nuts doubles. Now Cuba is complaining
- Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it
- Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n
- 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
- Cars speeds
The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes?
- Test scores
Jo's test scores on the first four 100-point exams are as follows: 96,90,76, and 88. If all exams are worth the same percentage, what is the minimum test score necessary on his last exam to earn an A grade in the class (90% or better)?
- Cheetah vs antelope
When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope ran at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running?
- 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
- Pavel 3
Pavel has deposits in two accounts. One in a current account with an annual interest of 2% and the other in a savings account with an annual interest of 4%. Both deposits earned him CZK 1,000 per year. If Pavel transferred the deposit from one account to
- Regular 3241
The tourist started with a regular step on the road at a speed of 80 steps per minute. After going through 100 steps, his son came to see him and wanted to catch up with him. The son took regular steps as long as his father and moved at 120 steps per minu
- Proportion 5904
A kilogram of one kind of nut is sold for 130 CZK. A kilogram of another type of nuts for 250 CZK. In what proportion are the two kinds of nuts mixed in a mixture whose price is CZK 220 per kilogram?
- Peleton
In a cycling race, the peloton travels at an average speed of 36 km/h. One competitor took 5 minutes to repair a puncture. How many kilometers per hour was his speed greater than the speed of the peloton when he caught up with him in 20 minutes? How long
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