Equations practice problems - page 96 of 251
Number of problems found: 5001
- Perimeter and diagonal
The perimeter of the rectangle is 82 m, and the length of its diagonal is 29 m. Find the dimensions of the rectangle. - Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Strawberry picking calculation
Jerry went for a one-day strawberry picking. In the morning, he collected two-fifths of the required amount; in the afternoon, he collected 5 kilograms less than in the morning, and in total, he collected three-quarters of the required amount. How many ki - Car truck pursuit
At 9:00 a.m., a truck left town A at an average speed of 50 km/h to town B, 290 km from town A. In 1 hour and 20 minutes, a car drove behind him at an average speed of 75 km/h. At what time and distance from city B will the passenger truck catch? - Worker trench time
Worker A will dig a trench in 12 days. Worker B will dig a trench in 18 days. How many days will it take them together? - Class pupil calculation
In the first and second years, there are 58 pupils in a pile. In the first and third years, there are 57 pupils. In the second and third years, there are 59 pupils. How many students are there: a) In all of them, to the dromedary, b) In individual classes - Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times as many as the given points? - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - Roots and coefficient
In the equation 2x² + bx-9 = 0 is one root x1 = -3/2. Determine the second root and the coefficient b. - Vehicle meeting calculation
A car departs from place A at 1:00 PM at a speed of 72 km/h. At the same time, a truck departs from point B toward A at a speed of 68 km/h. Point B is 315 km from A. When and where will they meet? - Quarantine cupcakes
Mr. Honse was baking quarantine cupcakes. Mrs. Carr made twice as many as Mr. Honse. Ms. Sanchez made 12 cupcakes, more than Mr. Honse. Suppose they put all their cupcakes together (which they can't because. of quarantine!), they would have 108 cupcakes. - Car meeting calculation
The distance between K & L is 150 km. At 8 AM, a car left place K at a speed of 40 km/h. At 9 AM, a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - Remaining
Petra went on a 4-day trip to Vienna with her aunt. On the first day of the trip, she spent a quarter of her pocket money; on the second day, two-fifths of the remaining money; on the third day, she spent a third of her entire original pocket money; and o - One press
One press will produce one truck of respirators in 3.5 days and the second in 10 days. How long does it take to fill a truck while working together? - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side? - Lottery - eurocents
Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out. An elderly gentleman beside him wants to buy a newspaper but is missing five cents. Tereza is in a generous mood after the win, so she gives the man five cents - Distance time calculation
The truck drove at an average speed of 20 km/h and left Prague toward Liberec. At the same time, a bus left with him, traveling at an average speed of 30 km/h, and it arrived in Liberec 2 hours earlier than the truck. What is the distance between Prague a - Nou camp
Nou camp is the largest football stadium in Europe with a capacity of 99 354 places. It has built several dozen entrances. Half an hour before the start of the sold-out match there were already 30 906 fans in the stands. Through each of the 31 entrances, - Right-angled triangle
The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles. - Pool drainage calculation
During the pool cleaning, two drains and one inlet were opened. The first outflow would empty the pool in 6 hours, the second outflow would fill it in 9 hours, and the inflow would fill it in 12 hours. How long will it take to empty if the drains are open
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
