Algebra - math word problems - page 208 of 278
Algebra is a branch of mathematics that uses not only numbers and characters but also letters to solve operations. For example 3x+5x is 8x.Number of problems found: 5547
- Transferred 81895
The tin body transferred 150,000 J of heat, and its temperature dropped by 10°C. Calculate the mass of the tin body. (c of tin is 0.227 kJ/kg. °C). Enter the resulting weight in grams and round it to two decimal places. - Possible 81020
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible? - Temperature 80513
A copper wire coil winding has a resistance of 10 Ω at a temperature of 14°C. The passing current by the coil heats up, and its resistance increases to 12.2 Ω. To what temperature did the coil winding heat up? α = 3.92 * 10-3 1/K. - Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed?
- Distance 27971
The distance between K & L is 150 km. At 8 AM, a car left place K at a speed of 40 km/h. At 9 AM, a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - Championships 21683
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b - Simultaneously 18813
2 ships sail simultaneously towards each other from places 2340m apart. I sail both ships at a constant speed. The first boat travels 56m per minute, and the second 74m per minute. Create an equation that corresponds to the assignment of the task if the u - Minutes 11521
The road from Brno to Hodonin is 60 km long. Lenka left Hodonin at a speed of 4 km/h, and at the same time, Jonas left Brno on a moped for her. What was the moped's speed if Jonas and Lenka met in 1 hour and 30 minutes? - Simultaneously 6052
Trenčín is 120 km from Bratislava. The average speed of a cyclist traveling from Trenčín towards Bratislava is 20 km/h. Calculate the average speed of the passenger car that left Bratislava compared to the cyclist if the cyclist and the passenger car left
- Three-digit 67834
The number 0,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the num - Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Three trucks
There are places A and Y, three trucks, B, C, and D, respectively. Truck B is 60 km/h, C is 40 km/h and D is 80 km/h. Trucks B and C start at place A while D starts at Y. After D and B meet, two hours later, will D meet C. What is the distance between pla - Thermometer
Immerse a thermometer with a heat capacity of 2.0 J. K-1 in water weighing 67.0 grams. Before water immersion, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water te - Sweets
We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How many of these two candy types are necessary to prepare this mixture?
- Candy
The price for 1kg of more expensive candy is 125 CZK. The price for 1kg of cheaper candy is 100 CZK. We make two different blends of candy. And now. The second blend contains 2 kilograms of more expensive candy and several kg of cheaper candy. The price p - Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used new, but out of toner and exchange took 5 min at that time copied on the old. The whole work was done in 9 min. How long would the work do only by the old co - Pumps
The first pump flows 16 liters per second into the basin by the second pump 75% of the first and by the third pump half more than the second. How long will it take to fill the basin with all three pumps simultaneously, a volume of 15 m³ (cubic meters)? - Train from Brno
The first train started from Brno at 8 AM at 60 km per hour. The second train started from Opava at 7 o'clock at the speed of 40 kilometers per hour. In how many hours and how far from cities trains meet when the distance of cities is 200 kilometers. - The accompanying
The accompanying table gives the probability distribution of the number of courses randomly selected student has registered Number of courses 1 2 3 4 5 6 7 Probability 0.02 0.03 0.1 0.3 0.4 - 0.01 respectively. a) Find the probability of a student registe
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