Weighted average + themes, topics - practice problems - last page
Number of problems found: 40
- Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Athletic competition
In a 400-meter athletic competition, a participant covers the distance given below. Find the average speed. first 80 meters 10 m/s next 240 meters 7.5 m/s last 80 meters 10 m/s - Another 7225
The tourist walked on the plain for 2 hours at a speed of 6 km/h. For another hour, he climbed a steep hill at a speed of 3 km/h. What was his average speed? - Peroxide
How many ml should we pour 30% of peroxide (H2O2) into 100ml H2O to give a 20% solution?
- CuSO4 mixture
How many grams of solid CuSO4 do we have to add to 450g of 15% CuSO4 solution to produce a 25% solution? - Mixture 2
How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution? - Dried fruit
The manufacturer produces a mixture of dried fruit. He purchased: 10kg pineapple for 200 Kc/kg 2kg papaya for 180 kc/kg 1kg of banana for 400 Kc/kg How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production pri - Motorcycle 5561
Determine the average speed of a motorcycle ridden 1/3 of the total ride speed at 30 m/s and 2/3 of the total ride speed at 15 m/s. - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol the pharmacy got?
- Remaining 3195
A cyclist covered a track of 40m in 5s. The first section of the 30m track was covered in 3s; the remaining section was covered in 2s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist on th - Hydrochloric acid
Determine the concentration of which must have a solution of hydrochloric acid that mixes 10 l of the solution with 8 liters of 26% solution to get the solution with a concentration of 50%. - Concentration 3098
Calculate the concentration of the solution prepared from 6 kg of 95% sulfuric acid solution and 24 kilograms of 10% sulfuric acid solution. - Kilogram 3024
One kilogram of raisins costs a crown and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost? - Inscribed circle
Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1].
- Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar? - Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture? - Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [1; -20; 3] m1 = 46 kg A2 [-20; 2; 9] m2 = 81 kg A3 [9; -2; -1 - Vinegar 2
How many percentages of vinegar solution will we get if we mix 3.5 liters of 5.8% and 5 liters of 7.6% vinegar? - Coffee
In-stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 create a mixture. What will be the price of 100 grams of this mixture?
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