Algebra - math word problems - page 310 of 353
Number of problems found: 7043
- Water inlets
An Inlet valve with a flow rate of 12 liters per second is filled tank for 72 minutes. How long does it take to fill the full tank if we open one more such valve half an hour after? - Bank
Paul put 11000 in the bank for 2 years. Calculate how much you will have in the bank if he does not pick earned interest or change deposit conditions. The annual interest rate is 2.8%, and the tax on interest is 18%. - Mushrooms
Fresh mushrooms contain 90% water, dried only 12%. How many kilograms of fresh mushrooms are needed for 5kg dried? - Three roads
The three boys moved from start to finish on three different routes, A, B, and C, always simultaneously. Adam drove road A 1500 m long on a scooter. Blake walked route B 600 m long on foot. Cyril got on a scooter on route C after a 90 m walk, then he left - Bus catching calculation
Mr. Pozdechodim missed the bus at 10.05. At 10.10, he passed Jindra. The bus travels at an average speed of 60 km/h and Jindra at 80 km/h. Will they catch the bus, which is 20 km from the next stop? - Coin count
Eva had seven coins. Crowns, two-crowns, and five-crowns. At least two of each. How many did she have if she could buy three packs of gum for six crowns? - Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there? - Point distance marking
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - 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? - The intersection of the diagonals
In the rectangular coordinate system, a rectangle ABCD is drawn. These coordinates determine the vertices of the rectangle: A = (2.2) B = (8.2) C = (8.6) D = (2.6) Find the coordinates of the intersection of the diagonals of the ABCD rectangle. - Center of line segment
Calculate the distance of point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t; t is from interval <0,1>. - Middle finger
Jana counts on one hand one by one. She starts counting from her thumb through her index finger, middle finger, and ring finger and comes to her little finger and has the number 5. Then she immediately returns to her ring finger (6), to her middle finger - Salary in enterprise
The average salary in the company is 27,000 CZK. 30% of workers have the lowest average income of 19,000 CZK. The wages in this group increased by 2%. How much did this increase the average wage across the company? - Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must first solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer than the other. How long are the wands? - Water temperature cooling
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 - Train speed calculation
The train ran the distance between stations at a 90km/h speed in 4 hours. What speed can it take if the journey takes an hour longer according to the new timetable? - Same force
The trunk is 5m long and 95 kilograms and has a center of gravity of 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it? - The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia - Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Nut mixture
A kilogram of one kind of nut is sold for 130 CZK. A kilogram of another type of nuts for 250 CZK. In what proportion are the two kinds of nuts mixed in a mixture whose price is CZK 220 per kilogram?
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