Equations practice problems - page 244 of 251
Number of problems found: 5001
- Coffee
In stock are three kinds of branded coffee with prices: I. Kind. .. .. .256 Kc/kg II. Kind. .. .. .341 Kc/kg III. Kind. .. .. 345 Kc/kg Mixing these three species in the ratio 2:3:9 creates a mixture. What will the price of 250 grams of this mixture be? - Clock
What time is now if the time elapsed afternoon is 1/2 of time that elapses before midnight? - Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium? - Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A.D. Thanks to an admirer who described his life through an algebraic riddle, we know at least something about it. Diophantus's youth lasted 1/6 of - Brick weight
The brick weighs 5 kg and a half-brick. How much does one brick weigh? - Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil - Acids
64% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in the ratio 2:1. What was the concentration of the weaker acid if the stronger had 98% concentration? - Bath
There are 30 liters of hot water in the bath. Then we added 39 liters of cold water at a temperature of 19 °C and decreased the temperature of the water to 45 °C. What was the initial temperature of the hot water? - 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? - Warehouses
To four warehouses is going cement in 50 kg bags, from first one third to the second quarter of the total. The third store got two-thirds of the rest, and the last 120 tons came to fourth. How much cement is in all warehouses, and how much got everyone? - Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares. - Sequence
In the arithmetic sequence, is a1=-8, d=-3. Which member is equal to the number -155? - Tape
Video is 199% more expensive than a tape recorder. How many percent is a tape recorder less expensive than a video? - Spherical cap
From a sphere with radius 26, a spherical cap was cut. Its height is 2. What part of the volume is a spherical cap from the whole sphere? - Center
In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z]. - Elections
The elections attended a total of 1450 voters. First-day 48 men more than women, the second-day 16 women more than men. How many women attended elections? - Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Troops
The route is 175 long km. On the first day, the first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day, the second regiment went on the same route at an average speed of 25 km/h there and back. Which regiment will take t - 2x cone
A circular cone of height 36 cm is cut by a plane parallel to the base, dividing it into two smaller cones of equal volume. Calculate the height of the smaller cone. - Work
The first paving machine can pave a pavement in 28 hours, and the second in 26 hours. The first machine started working, and after 2 hours the second machine joined it. How long after the second machine starts will they finish the job together?
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