System of equations + themes, topics - practice problems - page 3 of 17
Number of problems found: 332
- Relative 67684
The boat moves along the river at a speed of v1 = 5km. h-1 and upstream v2 = 2km. h-1. What is the current P's and boat L's speed relative to the water? - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature? - (cashews/beetroots) 66984
The lady sells nuts. It has two mixtures of nuts (cashews/beetroots) in a ratio of 2:1 and 1:3 (cashews and peanuts). Determine the ratio to mix both mixtures so that the ratio of cashews/beetroot in the resulting mixture is 1:2. (Please provide a certifi - Efficiently 65484
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c
- Individually 65314
A bakery worker makes 300 rolls more than an apprentice in 2 hours. In 4 hours, they both made 9800 rolls together. What are the hourly output of the worker and the apprentice individually? - Containing 64604
The metal casting consisted of copper and zinc. If we remelted it with 3 kg of pure copper, we would get an alloy containing 80% copper. Instead, we remelted the casting with 3 kilograms of pure zinc, so the resulting alloy contained only 50% copper. Dete - Passenger 64534
A passenger car drove a highway section at a constant speed. At a speed of 20 km/h higher, the ride would take 6 minutes less. At a speed of 20 km/h lower, it would take 9 minutes more. Calculate the length of the highway section. - Five-crown 63854
Petra has two-crown and five-crown coins. He has ten coins in the coffers. How many two crowns and five crowns if she saved CZK 29? - Intended 63664
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last?
- Kilograms 63624
How many kg of iron and how many kg of sulfur does 100 kilograms of iron sulfide (FeS) contain if the relative atomic weight of iron is 52 and sulfur 32? - Brian 2
Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed? - Containing 59983
The gardener has to prepare a grass mix containing clover grass and a meadow mixture at a price of CZK 24 per kilogram. A kilogram of mono-grass mixture costs CZK 22, and a kilogram of meadow mixture costs CZK 30. It will determine how many kilograms of m - Determines 59973
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. - Grandma
Grandma is 57 years older than her two twin granddaughters. If we add the ages of an older woman with both granddaughters, we get the number 99. How old is her old woman?
- The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey. - 24carat gold
The goldsmith cast 22-carat gold and 14-carat gold and earned 20 dkg of 18-carat gold. How much gold did he use? - Train
Find the average speed of a train (in km/h) that passes a telegraph pole in 7 seconds and passes a 378 m platform in 25 seconds. How long is the train? - The satellite
The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. How long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of satellit - Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself?
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