Basic operations and concepts - math word problems - page 227 of 319
Number of problems found: 6371
- Lowest voltage
Three resistors with resistors R1 = 10 kΩ, R2 = 20 kΩ, R3 = 30 kΩ are connected in series and an external voltage U = 30 V is connected to them. On which resistor is the lowest voltage? - Kilowatt-hours
If the Lewis family used 648 kilowatt-hours of electricity in 12 days at the same usage rate, how many kilowatt-hours should they use in 24 days? - They held
A 100-meter race was held at school. Peter, Jan, Andrej, Radko, and Miro advanced to the final. Peter finished either second, third, or fourth. Jan was not the winner. Andrej finished one place behind Jan. Radko did not finish in second place. Miro was tw - Pumps 3
Two pumps of the same power fill the garden pool for 10 hours. How many of these pumps would we have to use if we want to shorten the filling of the pool to four hours? - Probability - triangles
We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Approximately 22253
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 - Powerful 20773
The 300 liters per minute water starts to flow into the empty pool. We will fill the pool in 5 hours. How long would it take to fill a pool with a more powerful 750L pump per minute?
- Average 5665
At 10:00 AM, two cars drove against each other from places 240km away. One was driving at an average speed of 70km/h. What was the speed of the other when they met at 11:30? - 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. Percentage of puls - Efficient 43461
Four workers were supposed to build 200m of the fence in 15 days. However, after 3 days, two more workers came to their aid. All workers were equally efficient. Calculate how many meters of the fence (from the original 200m) remained after the first 3 day - Two boats
The sightseeing boat sailed at 25 km/h. The cruise takes 6 hours. How long does another boat sail at 60 km/h? - Three digits number
From the numbers 1, 2, 3, 4, and 5, create three-digit numbers whose digits do not repeat, and the number is divisible by 2. How many numbers are there? - Transformation 26961
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Determine the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. The transformation ratio is k = 4. What current - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Energy saving
They released three different independent inventions saving 15%, 17%, and 16% energy. Some considered that with the use of these inventions, the total savings would be 15% + 17% + 16% = 48%. Is this true? How much will the percent of energy save all three
- Journey 5
A man has to make a journey of 84km in 3 hours. He travels the first 30km at 20km/hr. At what rate must he travel the remaining distance to complete his journey on time? - Two masters
The two masters will make as many parts as five apprentices simultaneously. An eight-hour shift begins at 6 o'clock. When can a master finish the job to produce just as much as an apprentice for the whole shift? - Different 4117
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? - Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is? - Production 60701
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles?
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