Equations practice problems - page 15 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4221
- Branches 82741
The meadow has massive trees, a lake, and tall grass. A seventh of the birds sit in nests in trees. A third swim in the lake and a quarter of the birds sit in nests in the tall grass. Twenty-three birds are sitting on tree branches. How many birds are the - Difference 82737
Mom divided the strudel among her three sons. First, she cut off 1/3 of the strudel. She split the rest in a ratio of 2:3. The difference between the longest and shortest pieces is 4 cm. Determine the length of the strudel in cm. - Kilometers 82735
Fifteen kilometers in front of us, a car travels at a speed of 70 km/h. We drive at an average speed of 100 km/h. How many minutes will it take us to catch up with the car? - Occupied 82715
Fifty pupils were in the camp; they lived in double and triple rooms. They occupied 20 rooms, many of which were two- and three-story. Please proceed.
- Consecutive 82712
The sum of five consecutive even numbers is -10. What are the numbers? - Direction 82705
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Yesterday 82688
A total of 680 adults visited the swimming pool yesterday, among whom there were 30% fewer men than women. How many men visited the swimming pool yesterday? - Children 82684
Pupils on ski training lived in 29 rooms, some of which were 4-bed, others 5-bed. How many were there when there were 120 children? - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0
- Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0. - Greater 82662
Five times its number is as much greater than 50 as its half is less than 49. - Represents 82661
The weight of the car with cargo is 7610 kg. The car's weight represents 23% of the car's total weight with cargo. What is the weight of the cargo? - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4]. - Two-seventeenths 82639
Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch?
- Wednesday 82634
Two hundred sixteen tickets were sold in the first four days of the week. One-quarter of those tickets were sold on Monday, one-fifth more than on Tuesday. The same number of tickets were sold on Thursday as on Tuesday and Wednesday combined. How many wer - Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Shifts 82622
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5? - Calculated 82619
When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1m and its area by 22 m². If we reduce the length of the plot by 2m and increase its width by 1m, its area will de - Traveled 82618
The car traveled a distance of 120 km in 1 hour 50 minutes. The first part of this track traveled at a speed of 50 km per hour, and the second part traveled at a speed of 75 km per hour. The 10 minutes the driver needed to fill the gas are included in the
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