Algebra - math word problems - page 238 of 305
Number of problems found: 6095
- Class height average
There were 21 pupils in the class, and arithmetically, the average height of these pupils was 163 cm. Calculate what the average height in the class will be if: a) A 159 cm tall student was added to the class b) A 169 cm tall student left the class - Exponential equation solving
Solve the exponential equation: 8 raised to x = 40 - Scrap
From 18 products are 5 scraps. What is the probability that the random pick of 2 products has no defective product? - Ball selection probability
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them? - Ball pocket probability There are seven red balls and 13 blue balls in the pocket. How many blue balls do we need to add to the pocket so that the probability of removing the red ball is 0.2?
- Farewell photos
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - Henry
Henry has scored 72, 67, 82, and 79 on his Algebra tests. Use an inequality to find the scores he must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two tests. - Alcohol mixing
How much 55% alcohol do we need to add to 1500 grams of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol produced? - Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that, when heated to 39 degrees Celsius, absorbed 3.5 kJ of heat? The specific heat capacity of iron is 450 J/kg/°C. - Beetle cabbage pursuit
Tadeas the beetle set off from the house towards the cabbage leaf at a 20 m/min speed. Two minutes later, the Maximilian beetle followed him at 24 m/min speed. They both came to the cabbage leaf at the same time. How far was the letter from their house? - Field sowing calculation
The first machine can sow a field in 12 hours. The second, more powerful machine in 8 hours. How many hours was the field sown if workers deployed both machines, but the second machine started working 2 hours later than the first machine? - Cyclist motorcyclist meeting
The cyclist leaves place A at a speed of 25 km/h. A motorcyclist rides against him at a speed of 55 km/h. The distance between places A and B is 60 km. When and where do I meet? - Two Inlets Fill Tank
The first inflow fills the tank in 4 hours and the second tributary in 6 hours. How long will it take to fill both tributaries simultaneously, but the species will start an hour later? - Three painters
One painter paints the school in 7 days, the other in 6 days. The school had to be painted in 2 days. A third painter was called in, and they all worked simultaneously. In how many days would this third painter paint the school by himself? - Cenda and Pepa
Cenda and Pepa went to the event. Cenda started alone. Canda started after him for 20 minutes. How long did it take Cenda to catch him? Cenda traveling at 15 km/h, and Pepa traveling at 25 km/h. - Water temperatures
To 25 liters of water at 50 °C, we add 15 liters of water at a different temperature. How many °C should the water be colder than 50 °C so that 40 liters of the water obtained has a temperature of 42.5 °C? - Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need? - Missile 3
The missile penetrated the embankment to a depth of 1.2 m. What was its speed when it hit the surface of the embankment if the movement of the missile in the ground lasted 0.021 seconds and if the movement was uniformly slowed down? - Aluminum ignote
At what temperature did the temperature stabilize if an aluminum ignote weighing 45 kg and at a temperature of 15°C received 4.8 MJ of heat? The specific heat capacity of aluminum is 896 J/kg°C. - Prepare
From two types of tea priced at 1500,-Sk and 2100,- Sk per kg, 29 kg of a mixture is to be prepared for 1650 per 1 kg. How many kilograms of each type of tea should be mixed?
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