Themes, topics - math word problems - page 166 of 168

Number of problems found: 3354

Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get?
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 creates a mixture. What will the price of 100 grams of this mixture be?
Acids
64% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in ratio 2:1. What was the concentration of the weaker acid if the stronger had 98% concentration?
Solution
In 201 l, the red solution is 143 l in red color, and in 227 l, the blue solution is 112 l in blue color. How many l of red and blue l color solution must be mixed to get a mixture of 242 l to contain 121 l of color?
Motion problem
From Martina to Levíc, go car at speed 89 km/h. From Levíc to Martina, go another car at speed 71 km/h. How many minutes before the meeting will be cars 29 km away?
Trains for people
It is said that the train is synonymous to delay. Calculate the average travel speed by train long 85 km, with a regular train leaving at 7:00 and arriving at 8:18, but the train is late and has a departure at 8:10 and arrives at 9:27.
Laws
From which law directly follows the validity of Pythagoras' theorem in the right triangle? ...
Motion
From two different locations, the distance 232 km started against the car and bus. The car started at 7:10 with an average speed of 74 km/h. The bus started at 8:40 with an average speed of 48 km/h. When did they meet? How many kilometers did the bus take
Peroxide
How much-distilled water (in liters) must pharmacists pour into 300 ml of 32.7% solution of hydrogen peroxide to get 2.8% solution to gargle?
Vinegar
We must dilute 36 liters of 9.1% aqueous vinegar to 4.5% one. How much water is necessary to add?
Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
Motion2
The cyclist started off town at 24 km/h. The car started after 0.5 hours behind him in the same direction. It caught up with him for 58 minutes. How fast and how long did the car run from the city to catch cyclists?
Movement
Two cyclists (each on a different road) started from the crossing of two perpendicular roads. One runs at an average speed of 16 km/h, and the second 25 km/h. Determine the distance between them after 20 minutes of cycling.
Forces
In point, G acts three orthogonal forces: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant of F and the angles between F and forces F₁, F₂, and F₃.
Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors.
Free fall
Pavel fall from height 9 m. Calculate the speed at which he hit the ground when falling with acceleration g = 9.81 m/s²
Pool
If water flows into the pool through two inlets, it will fill for 5 hours. If the first inlet fills the pool 5 hour longer than the second, how long does it take to fill with two inlets separately?
Wiring
The conduit has a cross-section 54² mm. Maybe put it into 6 conductors with a cross section S2 $mm²?
Cyclist
The cyclist goes uphill 7 km for 46.9 minutes and downhill minutes for 15.4 minutes. Both are applied to the pedals with the same force. How long does he pass 7 km by plane?
Floor
The room's floor area is 33 m², and its width is 4 m. How many centimeters of circumference was measured on the floor on the map at the scale 1:75?

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