Algebra - math word problems - page 271 of 305
Number of problems found: 6095
- Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer. How long are her wands? - Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down? - Water temperature cooling
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Train speed calculation
The train ran the distance between stations at a 90km/h speed in 4 hours. What speed can it take if the journey takes an hour longer according to the new timetable? - Same force
The trunk is 5m long and 95 kilograms and has a center of gravity of 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it? - The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia - Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Nut mixture
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? - Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian? - Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used a new one, but it was out of toner, and the exchange took 5 minutes at that time, copied on the old one. The whole work was done in 9 min. How long would the - Average Grade Goal Worst
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 - Grandfather
The grandfather is three years older than the grandmother. The average age of the grandmother, the grandfather, and their seven grandchildren is 28. The grandchildren have a total of 105 years. Calculate how old grandfather is. - Middle finger
Jana counts on one hand one by one. She starts counting from her thumb through her index finger, middle finger, and ring finger and comes to her little finger and has the number 5. Then she immediately returns to her ring finger (6), to her middle finger - Tea mixture package
1 kg of white tea costs CZK 1,800. 1 kg of green tea costs CZK 1,200. It determines how many grams of white and green tea will be contained in a package of Buddha's mixture if it weighs 50g and costs CZK 65. - Bank withdrawal time
We will deposit € 10,500 at the bank at 1.1% interest, and we want to withdraw € 11,000. How many years do we have to wait? Round to 2 decimal places. - Three piles
We divide 100 kg of sugar into three piles. The first pile is small. If we add 2 kg of sugar to the second, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the second pile. How - Investment ratio
Three entrepreneurs decided to invest in a joint project in a ratio of 4:5:7. The largest deposit was € 3,430. How many euros did they invest together? - Divisible numbers
How many 3-digit numbers can be composed of the digits 1,3,5,7,9 if the digits are not allowed to be repeated in the number notation? How many of them are divisible by five? - Bouquet arrangements
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Sweets
There are 12 sandwiches on a plate, 5 of which are poppy seeds and 7 are jam. How many cheese sandwiches must be added to them so that the probability that a randomly selected sandwich is poppy seed is 20%?
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